Details

analyze187.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.2s (64.7%)

Results

9.0s	7929×	body	8192	exit
1.1s	1970×	body	1024	valid
708.0ms	5157×	body	256	valid
263.0ms	919×	body	512	valid
158.0ms	210×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

57.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	94.2%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series70.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	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)))

rewrite72.0ms (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))

eval29.0ms (0.2%)

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

prune48.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Accurracy

99.7%

Counts

116 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	99.6%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	53.4%	(log1p.f64 (exp.f64 b))
▶	54.7%	(log1p.f64 (exp.f64 a))
▶	52.0%	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))
	56.3%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
	56.6%	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
	56.6%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	53.4%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 168 to 126 computations (25% saved)

localize8.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(expm1.f64 b)
✓	99.6%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series68.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	a	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
8.0ms	b	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms	b	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
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)))

rewrite62.0ms (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	24
1	180	24
2	2264	24

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1182×	`associate-/l*`
1182×	`associate-/r*`
1084×	`associate-*l/`
768×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1540
1	340	1524
2	1422	1506
3	4580	1494

Stop Event

1×	node limit

Counts

72 → 84

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

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

localize4.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (exp.f64 a))

Compiler

Compiled 8 to 4 computations (50% saved)

series42.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
11.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
0.0ms	a	@	0	(log1p.f64 (exp.f64 a))

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

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 Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 b))
✓	99.6%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series41.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	b	@	-inf	(log.f64 (+.f64 1 (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 b) (+.f64 1 a))
✓	99.6%	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series62.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))
12.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))
1.0ms	b	@	0	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))
0.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))
0.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))

rewrite87.0ms (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 b) (+.f64 1 a)))
(+.f64 (exp.f64 b) (+.f64 1 a))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 a) (-.f64 1 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 b) 1) (-.f64 1 (+.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 (+.f64 2 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 a))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 a)) (-.f64 (/.f64 a (/.f64 (-.f64 1 a) a)) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (expm1.f64 b) a)) (/.f64 (pow.f64 (+.f64 1 a) 2) (-.f64 (expm1.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 b) (exp.f64 (log.f64 (+.f64 2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 b) (/.f64 1 (-.f64 1 a))) (/.f64 a (/.f64 (-.f64 1 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 b) (+.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 b) (+.f64 1 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 1 a))) (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 1 a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 1 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 1 a))) 2) (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 a) 2)) (/.f64 1 (-.f64 (expm1.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 a) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 a) 2) (*.f64 (exp.f64 b) (-.f64 (expm1.f64 b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (expm1.f64 b) a)) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 a) 2) (*.f64 (exp.f64 b) (-.f64 (expm1.f64 b) a)))) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 a) 2)) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 a) 2))) (+.f64 (exp.f64 b) (+.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 a) 2)) (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 a) 3))) (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (+.f64 1 a) (+.f64 (exp.f64 b) (+.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 a) 3)) (-.f64 (*.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 3)) (*.f64 (pow.f64 (+.f64 1 a) 2) (*.f64 (+.f64 1 (-.f64 a (exp.f64 b))) (+.f64 1 (-.f64 a (exp.f64 b))))))) (-.f64 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simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-*r/`
1236×	`associate-*l/`
1078×	`+-commutative`
380×	`associate-+r-`
380×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	398	7060
1	1123	6662
2	4763	6662

Stop Event

1×	node limit

Counts

168 → 243

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 a))
	100.0%	(log1p.f64 (exp.f64 a))
✓	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
✓	100.0%	(/.f64 b (+.f64 1 (exp.f64 a)))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series6.0ms (0%)

Counts

3 → 32

Calls

15 calls:

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

rewrite98.0ms (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	59
1	229	59
2	3055	59

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

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

Outputs

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

simplify163.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-+r+`
1022×	`+-commutative`
690×	`associate-r`
616×	`associate-/l*`
556×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	587	12058
1	1636	11562
2	7421	11412

Stop Event

1×	node limit

Counts

250 → 344

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

eval357.0ms (2.1%)

Compiler: Compiled 18846 to 10677 computations (43.3% saved)

prune198.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	839	13	852
Fresh	3	1	4
Picked	1	0	1
Done	3	1	4
Total	846	15	861

Accurracy

99.7%

Counts

861 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 b (+.f64 2 (expm1.f64 a)))
	53.0%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	52.4%	(+.f64 (*.f64 1/2 a) (log.f64 2))
	55.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	51.8%	(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
	52.0%	(log1p.f64 (+.f64 (exp.f64 b) a))
	53.4%	(log1p.f64 (exp.f64 b))
✓	54.7%	(log1p.f64 (exp.f64 a))
	53.0%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
▶	51.9%	(log.f64 (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b)))))
▶	51.7%	(log.f64 (+.f64 2 (+.f64 a b)))
	52.9%	(log.f64 (+.f64 2 b))
	51.1%	(log.f64 (+.f64 2 a))
▶	52.3%	(log.f64 2)
▶	99.3%	(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 255 to 194 computations (23.9% saved)

localize21.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
	100.0%	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	100.0%	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	99.9%	(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series36.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
14.0ms	a	@	-inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	0	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`associate-*r/`
1428×	`associate-*l/`
928×	`associate-/r*`
676×	`associate-/l*`
254×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	267	97
2	3283	97

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs

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

(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)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (log1p.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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((x -.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.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)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 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simplify181.0ms (1%)

Algorithm

1×	egg-herbie

Rules

950×	`associate-/r/`
822×	`associate--l+`
670×	`associate-+r-`
652×	`associate-+l-`
430×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	431	18224
1	1203	17426
2	5555	17426

Stop Event

1×	node limit

Counts

268 → 225

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 2 (+.f64 a b))
✓	99.9%	(log.f64 (+.f64 2 (+.f64 a b)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series3.0ms (0%)

Counts

2 → 30

Calls

12 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`associate-*r/`
876×	`*-commutative`
748×	`distribute-lft-in`
724×	`distribute-rgt-in`
684×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	30
2	2627	30

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 a b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3 (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 (-.f64 a b) a)) (-.f64 (/.f64 b (/.f64 (-.f64 a b) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (+.f64 a b))) (/.f64 (pow.f64 (+.f64 a b) 2) (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (+.f64 (+.f64 a b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 a (/.f64 (-.f64 a b) a))) (/.f64 b (/.f64 (-.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 a) (exp.f64 (log1p.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 b) (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (+.f64 a b))) (sqrt.f64 (+.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) 2) (cbrt.f64 (+.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) (/.f64 1 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) (/.f64 1 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 a b))) (-.f64 4 (pow.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))) (+.f64 8 (pow.f64 (+.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) (-.f64 4 (pow.f64 (+.f64 a b) 2))) (+.f64 2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) (-.f64 8 (pow.f64 (+.f64 a b) 3))) (+.f64 4 (*.f64 (+.f64 a b) (+.f64 2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) (-.f64 16 (*.f64 (pow.f64 (+.f64 a b) 2) (*.f64 (-.f64 (+.f64 a b) 2) (-.f64 (+.f64 a b) 2))))) (-.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) (+.f64 64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)) 3))) (+.f64 16 (*.f64 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)) (-.f64 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) (-.f64 2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (/.f64 (-.f64 2 (+.f64 a b)) (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3))) (/.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)))) (/.f64 (-.f64 2 (+.f64 a b)) (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)))) (/.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a b) 2) 4) (-.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 2 a) (+.f64 2 a)) (*.f64 b b)) (+.f64 2 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (*.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 a b) 3))) (*.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))) (-.f64 8 (pow.f64 (+.f64 a b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 (+.f64 a b) (pow.f64 (+.f64 a b) 3))) (*.f64 (-.f64 2 (+.f64 a b)) (+.f64 (pow.f64 (+.f64 a b) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3)) (+.f64 (*.f64 (+.f64 2 a) (+.f64 2 a)) (*.f64 b (-.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 512 (pow.f64 (pow.f64 (+.f64 a b) 3) 3)) (*.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))) (+.f64 64 (*.f64 (pow.f64 (+.f64 a b) 3) (-.f64 (pow.f64 (+.f64 a b) 3) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3)) (*.f64 (-.f64 2 (+.f64 a b)) (+.f64 16 (*.f64 (pow.f64 (+.f64 a b) 2) (+.f64 (pow.f64 (+.f64 a b) 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (neg.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (neg.f64 (pow.f64 (+.f64 a b) 3))) (+.f64 -4 (neg.f64 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 a b) 2) 4)) (-.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 2 a) (+.f64 2 a)) (*.f64 b b))) (+.f64 2 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))) (+.f64 (*.f64 (+.f64 2 a) (+.f64 2 a)) (*.f64 b (-.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 a b))) (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)))) (sqrt.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 a b))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) 2) (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)))) (cbrt.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 a b) 2) 4) 1) (-.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 2 a) (+.f64 2 a)) (*.f64 b b)) 1) (+.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)) 1) (+.f64 (*.f64 (+.f64 2 a) (+.f64 2 a)) (*.f64 b (-.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) 1) (neg.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (neg.f64 (pow.f64 (+.f64 a b) 3))) 1) (+.f64 -4 (neg.f64 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (sqrt.f64 (+.f64 2 (+.f64 a b)))) (sqrt.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3))) (sqrt.f64 (+.f64 2 (+.f64 a b)))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) 2)) (cbrt.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) 2)) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 (+.f64 a b) (pow.f64 (+.f64 a b) 3))) (/.f64 1 (-.f64 2 (+.f64 a b)))) (+.f64 (pow.f64 (+.f64 a b) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3)) (/.f64 1 (-.f64 2 (+.f64 a b)))) (+.f64 16 (*.f64 (pow.f64 (+.f64 a b) 2) (+.f64 (pow.f64 (+.f64 a b) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64 (*.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 a b) 3))) (/.f64 1 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))))) (-.f64 8 (pow.f64 (+.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 512 (pow.f64 (pow.f64 (+.f64 a b) 3) 3)) (/.f64 1 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))))) (+.f64 64 (*.f64 (pow.f64 (+.f64 a b) 3) (-.f64 (pow.f64 (+.f64 a b) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) 1) (-.f64 2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) (sqrt.f64 (-.f64 2 (+.f64 a b)))) (sqrt.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) (*.f64 (cbrt.f64 (-.f64 2 (+.f64 a b))) (cbrt.f64 (-.f64 2 (+.f64 a b))))) (cbrt.f64 (-.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) 1) (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (+.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (+.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (+.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (+.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 a b))))) (sqrt.f64 (log.f64 (+.f64 2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)) (neg.f64 (-.f64 2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 a b) 3)) (+.f64 -4 (neg.f64 (*.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (+.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (+.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (+.f64 a b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (cbrt.f64 (+.f64 a b)) 2)))))

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1798×	`associate-/l*`
1554×	`associate-/r*`
1232×	`+-commutative`
938×	`associate-*r/`
714×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	6016
1	1117	5700
2	4288	5700

Stop Event

1×	node limit

Counts

146 → 267

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

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

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 b (+.f64 2 (expm1.f64 a)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	b	@	0	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	a	@	inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	a	@	-inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	b	@	-inf	(/.f64 b (+.f64 2 (expm1.f64 a)))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`associate-*r/`
860×	`*-commutative`
756×	`associate-/r*`
674×	`associate-*l/`
572×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	191	17
2	2476	17

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

Inputs
(/.f64 b (+.f64 2 (expm1.f64 a)))

Outputs

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/l*`
1332×	`associate-*r/`
832×	`*-commutative`
812×	`associate-*l/`
628×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3363
1	676	3149
2	2384	3115

Stop Event

1×	node limit

Counts

103 → 125

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b))))
✓	100.0%	(+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b)))
✓	100.0%	(log.f64 (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b)))))

Compiler

Compiled 49 to 22 computations (55.1% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`associate-*r/`
1498×	`associate-*l/`
554×	`associate-+l+`
358×	`+-commutative`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	91
1	290	79
2	4060	79

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

Outputs

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

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

simplify170.0ms (1%)

Algorithm

1×	egg-herbie

Rules

658×	`associate--r+`
640×	`+-commutative`
600×	`fma-def`
570×	`associate-r`
570×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	585	13708
1	1626	12598
2	6273	12588

Stop Event

1×	node limit

Counts

248 → 353

Calls

Call 1

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

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

eval402.0ms (2.3%)

Compiler: Compiled 26303 to 16245 computations (38.2% saved)

prune210.0ms (1.2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1050	7	1057
Fresh	1	8	9
Picked	0	1	1
Done	2	3	5
Total	1053	19	1072

Accurracy

99.7%

Counts

1072 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 b (+.f64 2 (expm1.f64 a)))
	5.0%	(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
	53.0%	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	52.4%	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	55.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
▶	51.8%	(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
	5.0%	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
▶	11.3%	(*.f64 b 1/2)
	51.8%	(log1p.f64 (+.f64 (+.f64 a b) 1))
	52.0%	(log1p.f64 (+.f64 (exp.f64 b) a))
	53.4%	(log1p.f64 (exp.f64 b))
✓	54.7%	(log1p.f64 (exp.f64 a))
✓	51.9%	(log.f64 (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b)))))
	53.1%	(log.f64 (+.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))
	52.9%	(log.f64 (+.f64 2 b))
▶	51.1%	(log.f64 (+.f64 2 a))
✓	52.3%	(log.f64 2)
	0.4%	(expm1.f64 (+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b)))) (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 b (+.f64 1 (log1p.f64 (exp.f64 a)))))))
	52.2%	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))

Compiler

Compiled 325 to 248 computations (23.7% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (exp.f64 a))
✓	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
✓	99.8%	(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
✓	95.2%	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series50.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
17.0ms	b	@	0	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
15.0ms	b	@	-inf	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
10.0ms	a	@	inf	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
5.0ms	b	@	inf	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`*-commutative`
960×	`associate-*r/`
736×	`distribute-lft-in`
720×	`distribute-rgt-in`
686×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	71
1	227	67
2	3001	67

Stop Event

1×	node limit

Counts

3 → 254

Calls

Call 1

Inputs
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (sqrt.f64 b))))) (#(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 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (+.f64 (exp.f64 a) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)) (cbrt.f64 (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 b)) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)) (sqrt.f64 (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)) (sqrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 b) 2))) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) (cbrt.f64 (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 b)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 b)) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 b)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) 1) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 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simplify149.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

790×	`associate-r`
728×	`associate-/l*`
674×	`associate-l`
570×	`+-commutative`
566×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	696	20452
1	1935	19830

Stop Event

1×	node limit

Counts

326 → 431

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 2)))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))
(.f64 (+.f64 (.f64 a -1/2) 1) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (.f64 1/24 (.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (fma.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))) (.f64 1/24 (*.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (pow.f64 a 3)))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (.f64 a -1/2) (*.f64 1/24 (pow.f64 a 3)))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (.f64 -1/240 (.f64 (pow.f64 a 5) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))))
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(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (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 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.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 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))

localize3.0ms (0%)

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

localize7.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 2 a))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`add-sqr-sqrt`
1444×	`*-un-lft-identity`
1352×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	145	11
2	1765	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1194×	`distribute-lft-in`
1006×	`distribute-rgt-in`
874×	`associate-+l+`
862×	`associate-+r+`
768×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	691
1	242	609
2	798	609
3	3206	609

Stop Event

1×	node limit

Counts

33 → 57

Calls

Call 1

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

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.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))

rewrite55.0ms (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))))))

simplify53.0ms (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))

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
✓	100.0%	(/.f64 b (+.f64 2 a))
	100.0%	(log.f64 (+.f64 2 a))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series6.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`associate-*r/`
1060×	`*-commutative`
1022×	`associate-*l/`
916×	`associate-/r*`
676×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	220	42
2	3049	42

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 2 a))) (sqrt.f64 (/.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 2 a))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 2 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 a))) 2) (cbrt.f64 (/.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 a) (/.f64 b (-.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 a (-.f64 a 2))) (/.f64 b (+.f64 8 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (-.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 2 a)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 2 a)) (/.f64 (sqrt.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 2 a)) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 2 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 a))) (/.f64 b (sqrt.f64 (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (/.f64 b (cbrt.f64 (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 1 (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (+.f64 2 a))) (/.f64 1 (sqrt.f64 (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (+.f64 2 a))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 a a))) (*.f64 b (-.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 a 3))) (*.f64 b (+.f64 4 (*.f64 a (-.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 4 (*.f64 a a))) (-.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 8 (pow.f64 a 3))) (+.f64 4 (*.f64 a (-.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 a))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (cbrt.f64 (/.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 2 a)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 (-.f64 4 (*.f64 a a)))) (neg.f64 (-.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 (+.f64 8 (pow.f64 a 3)))) (neg.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 (*.f64 a a) 4)) (-.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 2 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 4 (*.f64 a a)))) (-.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) (neg.f64 (+.f64 8 (pow.f64 a 3)))) (+.f64 4 (*.f64 a (-.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) (neg.f64 (-.f64 4 (*.f64 a a)))) (neg.f64 (-.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) (neg.f64 (+.f64 8 (pow.f64 a 3)))) (neg.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) (-.f64 (*.f64 a a) 4)) (-.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 2 a))) (sqrt.f64 (+.f64 8 (pow.f64 a 3)))) (sqrt.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 2 a))) (sqrt.f64 (-.f64 4 (*.f64 a a)))) (sqrt.f64 (-.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 a 3)))) (cbrt.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (cbrt.f64 (-.f64 4 (*.f64 a a)))) (cbrt.f64 (-.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 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 (/.f64 (+.f64 2 a) b) -1)))) (#(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 neg.f64 (/.f64 b (-.f64 -2 a)))))) (#(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 (log1p.f64 (/.f64 b (+.f64 2 a))))))) (#(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 -.f64 (log.f64 (+.f64 8 (pow.f64 a 3))) (-.f64 (log.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))) (/.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (*.f64 a a))) (-.f64 (log.f64 (-.f64 2 a)) (/.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 a)))) (-.f64 1 (log1p.f64 (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 a 1)))) (-.f64 1 (/.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (+.f64 a 1)) 2) (-.f64 (log1p.f64 (+.f64 a 1)) (/.f64 b (+.f64 2 a)))) (/.f64 (pow.f64 (/.f64 b (+.f64 2 a)) 2) (-.f64 (log1p.f64 (+.f64 a 1)) (/.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log.f64 (+.f64 8 (pow.f64 a 3)))) (log.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log.f64 (-.f64 4 (*.f64 a a)))) (log.f64 (-.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 2 a)) (exp.f64 (log1p.f64 (log1p.f64 (+.f64 a 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (+.f64 a 1)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1)))) 2) (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 a 1)) 2) (pow.f64 (/.f64 b (+.f64 2 a)) 2)) (/.f64 1 (-.f64 (log1p.f64 (+.f64 a 1)) (/.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 (+.f64 a 1)) 3) (pow.f64 (/.f64 b (+.f64 2 a)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (+.f64 a 1)) 2) (*.f64 (/.f64 b (+.f64 2 a)) (-.f64 (/.f64 b (+.f64 2 a)) (log1p.f64 (+.f64 a 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (log1p.f64 (+.f64 a 1)) (/.f64 b (+.f64 2 a)))) (-.f64 (pow.f64 (log1p.f64 (+.f64 a 1)) 2) (pow.f64 (/.f64 b (+.f64 2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (+.f64 a 1)) 2) 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simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`+-commutative`
914×	`associate-+r+`
866×	`associate-+l+`
484×	`associate-r`
478×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	9046
1	1280	8528
2	5423	8518

Stop Event

1×	node limit

Counts

168 → 276

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

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

eval346.0ms (2%)

Compiler: Compiled 24749 to 14084 computations (43.1% saved)

prune191.0ms (1.1%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	950	6	956
Fresh	2	8	10
Picked	1	0	1
Done	2	6	8
Total	955	20	975

Accurracy

99.7%

Counts

975 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.8%	(/.f64 b (+.f64 a 2))
✓	49.1%	(/.f64 b (+.f64 2 (expm1.f64 a)))
	53.0%	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	52.4%	(+.f64 (*.f64 1/2 a) (log.f64 2))
	54.2%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 3)))
	54.2%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
	51.8%	(+.f64 (log.f64 (+.f64 2 a)) (*.f64 1/2 b))
	36.1%	(+.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
✓	11.3%	(*.f64 b 1/2)
	51.8%	(log1p.f64 (+.f64 (+.f64 a b) 1))
	52.0%	(log1p.f64 (+.f64 (exp.f64 b) a))
	51.1%	(log1p.f64 (+.f64 a 1))
	53.4%	(log1p.f64 (exp.f64 b))
✓	54.7%	(log1p.f64 (exp.f64 a))
✓	51.9%	(log.f64 (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b)))))
	53.1%	(log.f64 (+.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))
	52.9%	(log.f64 (+.f64 2 b))
✓	52.3%	(log.f64 2)
	0.4%	(expm1.f64 (+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b)))) (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 b (+.f64 1 (log1p.f64 (exp.f64 a)))))))
	52.2%	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))

Compiler

Compiled 201 to 150 computations (25.4% saved)

regimes76.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

34.0ms	b
15.0ms	a
6.0ms	(exp.f64 a)
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.6%	1	`(exp.f64 a)`
99.6%	1	`(exp.f64 b)`

Compiler

Compiled 327 to 192 computations (41.3% saved)

regimes110.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

6 calls:

63.0ms	b
23.0ms	a
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.6%	2	`a`
73.4%	6	`b`
99.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.6%	2	`(exp.f64 a)`
57.7%	1	`(exp.f64 b)`

Compiler

Compiled 198 to 130 computations (34.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04252441781833576

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes99.0ms (0.6%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

4 calls:

63.0ms	b
22.0ms	a
6.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.5%	2	`a`
72.4%	6	`b`
99.5%	2	`(exp.f64 a)`
56.6%	1	`(exp.f64 b)`

Compiler

Compiled 177 to 117 computations (33.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04252441781833576

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes95.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	b
21.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.3%	2	`a`
72.0%	6	`b`
99.3%	2	`(exp.f64 a)`
56.3%	1	`(exp.f64 b)`

Compiler

Compiled 164 to 110 computations (32.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04252441781833576

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes95.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

4 calls:

63.0ms	b
19.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.7%	2	`a`
72.3%	7	`b`
98.7%	2	`(exp.f64 a)`
56.3%	2	`(exp.f64 b)`

Compiler

Compiled 150 to 102 computations (32% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.04252441781833576

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes67.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	b
17.0ms	a

Results

Accuracy	Segments	Branch
98.4%	2	`a`
69.7%	6	`b`

Compiler

Compiled 126 to 87 computations (31% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.157676831132884	-0.7145320637623399

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 157 to 118 computations (24.8% saved)

regimes67.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	b
17.0ms	a

Results

Accuracy	Segments	Branch
98.3%	2	`a`
69.7%	6	`b`

Compiler

Compiled 114 to 81 computations (28.9% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-3.157676831132884	-0.7145320637623399

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 133 to 106 computations (20.3% saved)

regimes52.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 (+.f64 a b) 1))

Calls

2 calls:

37.0ms	b
13.0ms	a

Results

Accuracy	Segments	Branch
98.3%	2	`a`
69.6%	6	`b`

Compiler

Compiled 76 to 54 computations (28.9% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-3.157676831132884	-0.7145320637623399

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 121 to 94 computations (22.3% saved)

regimes22.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	a
6.0ms	b

Results

Accuracy	Segments	Branch
60.5%	2	`a`
53.0%	1	`b`

Compiler

Compiled 70 to 50 computations (28.6% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.157676831132884	-0.7145320637623399

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 103 to 82 computations (20.4% saved)

regimes18.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
60.5%	2	`a`
52.9%	1	`b`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.157676831132884	-0.7145320637623399

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 103 to 82 computations (20.4% saved)

regimes17.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
59.9%	2	`a`
52.9%	1	`b`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.157676831132884	-0.7145320637623399

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 91 to 76 computations (16.5% saved)

regimes16.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
6.0ms	b

Results

Accuracy	Segments	Branch
59.8%	2	`a`
52.9%	1	`b`

Compiler

Compiled 42 to 30 computations (28.6% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.157676831132884	-0.7145320637623399

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 91 to 76 computations (16.5% saved)

regimes14.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
59.2%	2	`a`
52.3%	1	`b`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-3104.482470387186	-3.157676831132884

Results

11.0ms	81×	body	256	valid
10.0ms	38×	body	512	valid
4.0ms	9×	body	1024	valid

Compiler

Compiled 101 to 90 computations (10.9% saved)

regimes8.0ms (0%)

Accuracy

Total -4.5b remaining (-7.9%)

Threshold costs -4.5b (-7.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 b 1/2)

Calls

2 calls:

4.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
11.3%	1	`a`
11.3%	1	`b`

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	528
1	85	528

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 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (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 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b))))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log.f64 (+.f64 2 a)) (*.f64 1/2 b)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (+.f64 a b) 1)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log1p.f64 (+.f64 (+.f64 a b) 1)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 2 (+.f64 a b))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log1p.f64 (+.f64 a 1)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -135) (*.f64 b 1/2) (log.f64 2))
(*.f64 b 1/2)

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (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 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b))))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 2 (+.f64 (.f64 1/2 (.f64 b b)) (+.f64 a b)))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log.f64 (+.f64 2 a)) (*.f64 1/2 b)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log.f64 (+.f64 a 2)) (*.f64 b 1/2)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (+.f64 a b) 1)))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 1 (+.f64 a b))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log1p.f64 (+.f64 (+.f64 a b) 1)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log1p.f64 (+.f64 1 (+.f64 a b))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 2 (+.f64 a b))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log1p.f64 (+.f64 a 1)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -135) (*.f64 b 1/2) (log.f64 2))
(*.f64 b 1/2)

Compiler

Compiled 223 to 162 computations (27.4% saved)

soundness89.0ms (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 77 to 27 computations (64.9% saved)

end111.0ms (0.6%)

Compiler: Compiled 213 to 134 computations (37.1% saved)