Details

analyze174.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.3s (64.9%)

Results

8.9s	7942×	body	8192	exit
1.1s	2012×	body	1024	valid
703.0ms	5053×	body	256	valid
365.0ms	987×	body	512	valid
153.0ms	204×	body	2048	valid

Bogosity

preprocess24.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	2.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series89.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	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)))

rewrite95.0ms (0.5%)

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))))))

simplify93.0ms (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))

eval35.0ms (0.2%)

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

prune25.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	103	12	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	13	116

Error

Counts

116 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(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)))))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	27.9b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
▶	0.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	29.5b	(log1p.f64 (exp.f64 b))
▶	30.4b	(log1p.f64 (exp.f64 a))
	29.8b	(log.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (+.f64 1 a))))
▶	30.6b	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))
	29.6b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	27.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	29.2b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	29.5b	(log.f64 (+.f64 1 (exp.f64 b)))
	27.5b	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 284 to 212 computations (25.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series27.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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)))
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)))

rewrite89.0ms (0.5%)

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)))))))

simplify67.0ms (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 error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 4 computations (50% saved)

series43.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
32.0ms	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))

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 45

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series28.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	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))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

simplify68.0ms (0.4%)

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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series69.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	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	@	-inf	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))

rewrite85.0ms (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 (pow.f64 (exp.f64 b) 2) (*.f64 (+.f64 1 a) (+.f64 1 (-.f64 a (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3) (pow.f64 (*.f64 (+.f64 1 a) (+.f64 1 (-.f64 a (exp.f64 b)))) 3))) (+.f64 (*.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 3)) (*.f64 (*.f64 (+.f64 1 a) (+.f64 1 (-.f64 a (exp.f64 b)))) (-.f64 (*.f64 (+.f64 1 a) (+.f64 1 (-.f64 a (exp.f64 b)))) (pow.f64 (exp.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (exp.f64 b) (+.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 b) (+.f64 1 a)) (/.f64 (-.f64 (expm1.f64 b) a) (-.f64 (expm1.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 a) 2)) (-.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 (pow.f64 (+.f64 1 a) 2) (*.f64 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simplify101.0ms (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 (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)))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
✓	0.0b	(+.f64 1 (exp.f64 a))
	0.0b	(log1p.f64 (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))))
0.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	229	59
2	3055	59

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

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

Outputs

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simplify170.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-+r+`
1032×	`+-commutative`
634×	`associate-r`
598×	`associate-/l*`
508×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	588	12328
1	1637	11828
2	7237	11678

Stop Event

1×	node limit

Counts

250 → 348

Calls

Call 1

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

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

eval362.0ms (2.1%)

Compiler: Compiled 18847 to 10644 computations (43.5% saved)

prune172.0ms (1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	839	17	856
Fresh	6	1	7
Picked	1	0	1
Done	2	3	5
Total	848	21	869

Error

Counts

869 → 21

Alt Table

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Status	Error	Program
	32.0b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	30.0b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	31.7b	(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a)))
	31.4b	(+.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)))))
	30.8b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	31.8b	(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
	30.0b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
	30.6b	(log1p.f64 (+.f64 (exp.f64 b) a))
▶	28.4b	(log1p.f64 (+.f64 (exp.f64 a) (log.f64 (exp.f64 (expm1.f64 b)))))
✓	0.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	29.5b	(log1p.f64 (exp.f64 b))
✓	30.4b	(log1p.f64 (exp.f64 a))
	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
▶	30.6b	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))
	31.6b	(log.f64 (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/2 (.f64 b b)))))
	31.8b	(log.f64 (+.f64 2 (+.f64 a b)))
	30.9b	(log.f64 (+.f64 2 b))
	32.2b	(log.f64 (+.f64 2 a))
✓	29.5b	(log.f64 (+.f64 1 (exp.f64 b)))
▶	31.2b	(log.f64 2)

Compiler

Compiled 382 to 304 computations (20.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 b)
✓	0.0b	(exp.f64 (expm1.f64 b))
✓	0.0b	(log1p.f64 (+.f64 (exp.f64 a) (log.f64 (exp.f64 (expm1.f64 b)))))
✓	6.0b	(log.f64 (exp.f64 (expm1.f64 b)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1976×	`add-sqr-sqrt`
1960×	`*-un-lft-identity`
1820×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	210	33
2	2456	33

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

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

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1662×	`associate-/r*`
1086×	`unswap-sqr`
894×	`fma-def`
702×	`distribute-lft-in`
666×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1920
1	429	1874
2	1876	1856
3	6718	1856

Stop Event

1×	node limit

Counts

106 → 115

Calls

Call 1

Inputs
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)
(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)))
1
(+.f64 1 b)
(+.f64 1 (+.f64 (pow.f64 b 2) b))
(+.f64 (*.f64 5/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (pow.f64 b 2) b)))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (-.f64 (exp.f64 b) 1))
(+.f64 (exp.f64 b) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 b)))))
(+.f64 0 (expm1.f64 b))
(-.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))
(cbrt.f64 (pow.f64 (expm1.f64 b) 3))
(expm1.f64 b)
(exp.f64 (log.f64 (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 b)) 1))
(log1p.f64 (expm1.f64 (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))))) 1)
(*.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 1)
(*.f64 1 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 2))
(log.f64 (+.f64 (+.f64 (expm1.f64 b) (exp.f64 a)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (expm1.f64 b)))) 1)
(*.f64 (exp.f64 (expm1.f64 b)) 1)
(*.f64 1 (exp.f64 (expm1.f64 b)))
(*.f64 (sqrt.f64 (exp.f64 (expm1.f64 b))) (sqrt.f64 (exp.f64 (expm1.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 2) (cbrt.f64 (exp.f64 (expm1.f64 b))))
(/.f64 (exp.f64 (exp.f64 b)) (exp.f64 1))
(pow.f64 (exp.f64 (expm1.f64 b)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (expm1.f64 b))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 3)
(pow.f64 (pow.f64 (exp.f64 (expm1.f64 b)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (cbrt.f64 (expm1.f64 b)))
(pow.f64 (exp.f64 (sqrt.f64 (expm1.f64 b))) (sqrt.f64 (expm1.f64 b)))
(pow.f64 (exp.f64 1) (expm1.f64 b))
(sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 b)) 2))
(log.f64 (exp.f64 (exp.f64 (expm1.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (expm1.f64 b)))))
(cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 b)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (expm1.f64 b))))
(log1p.f64 (expm1.f64 (exp.f64 (expm1.f64 b))))

Outputs
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 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)
(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 (exp.f64 b) 1)))
(+.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 (exp.f64 b) 1)) (/.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 (exp.f64 b) 1))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (.f64 1/2 (.f64 a a)) (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 -1 (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (/.f64 a (+.f64 (exp.f64 b) 1))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 -1 (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (.f64 1/2 (.f64 a a)) (/.f64 a (+.f64 (exp.f64 b) 1))))
(+.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 (exp.f64 b) 1)) (/.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) 2)))) (+.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) (+.f64 (log1p.f64 (exp.f64 b)) (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 (exp.f64 b) 1) 3)) (-.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 3 (pow.f64 (+.f64 (exp.f64 b) 1) 2)))))))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (-.f64 (/.f64 2 (pow.f64 (+.f64 (exp.f64 b) 1) 3)) (/.f64 3 (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 (.f64 1/2 (*.f64 a a)) (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 -1 (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (/.f64 a (+.f64 (exp.f64 b) 1))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (+.f64 (/.f64 2 (pow.f64 (+.f64 (exp.f64 b) 1) 3)) (/.f64 -3 (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 -1 (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (.f64 1/2 (*.f64 a a)) (/.f64 a (+.f64 (exp.f64 b) 1))))
(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 b b) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 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 b b) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 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))))) (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 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (/.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)))
1
(+.f64 1 b)
(+.f64 b 1)
(+.f64 1 (+.f64 (pow.f64 b 2) b))
(+.f64 1 (+.f64 b (*.f64 b b)))
(+.f64 1 (fma.f64 b b b))
(+.f64 b (fma.f64 b b 1))
(+.f64 (*.f64 5/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (pow.f64 b 2) b)))
(fma.f64 5/6 (pow.f64 b 3) (+.f64 1 (+.f64 b (*.f64 b b))))
(+.f64 (fma.f64 b b b) (fma.f64 (pow.f64 b 3) 5/6 1))
(+.f64 1 (fma.f64 (pow.f64 b 3) 5/6 (fma.f64 b b b)))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(exp.f64 (-.f64 (exp.f64 b) 1))
(exp.f64 (expm1.f64 b))
(+.f64 (exp.f64 b) -1)
(expm1.f64 b)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 b)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 b)))))
(+.f64 0 (expm1.f64 b))
(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 (exp.f64 b) 1) (exp.f64 (+.f64 b b))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 b) (fma.f64 (exp.f64 b) (exp.f64 b) 1)))
(/.f64 (expm1.f64 (*.f64 3 b)) (+.f64 (exp.f64 b) (fma.f64 (exp.f64 b) (exp.f64 b) 1)))
(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)
(cbrt.f64 (pow.f64 (expm1.f64 b) 3))
(expm1.f64 b)
(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)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))))) 1)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 1)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 1 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 2))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 1)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 2)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 3)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 3) 1/3)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 2))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (+.f64 (expm1.f64 b) (exp.f64 a)) 1))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a))) 3))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (expm1.f64 b) (exp.f64 a)))) 1))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (expm1.f64 b)))) 1)
(exp.f64 (expm1.f64 b))
(*.f64 (exp.f64 (expm1.f64 b)) 1)
(exp.f64 (expm1.f64 b))
(*.f64 1 (exp.f64 (expm1.f64 b)))
(exp.f64 (expm1.f64 b))
(*.f64 (sqrt.f64 (exp.f64 (expm1.f64 b))) (sqrt.f64 (exp.f64 (expm1.f64 b))))
(exp.f64 (expm1.f64 b))
(*.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 2))
(exp.f64 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 2) (cbrt.f64 (exp.f64 (expm1.f64 b))))
(exp.f64 (expm1.f64 b))
(/.f64 (exp.f64 (exp.f64 b)) (exp.f64 1))
(exp.f64 (expm1.f64 b))
(pow.f64 (exp.f64 (expm1.f64 b)) 1)
(exp.f64 (expm1.f64 b))
(pow.f64 (sqrt.f64 (exp.f64 (expm1.f64 b))) 2)
(exp.f64 (expm1.f64 b))
(pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 b))) 3)
(exp.f64 (expm1.f64 b))
(pow.f64 (pow.f64 (exp.f64 (expm1.f64 b)) 3) 1/3)
(exp.f64 (expm1.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (cbrt.f64 (expm1.f64 b)))
(exp.f64 (expm1.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 (expm1.f64 b))) (sqrt.f64 (expm1.f64 b)))
(exp.f64 (expm1.f64 b))
(pow.f64 (exp.f64 1) (expm1.f64 b))
(exp.f64 (expm1.f64 b))
(sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 b)) 2))
(exp.f64 (expm1.f64 b))
(log.f64 (exp.f64 (exp.f64 (expm1.f64 b))))
(exp.f64 (expm1.f64 b))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (expm1.f64 b)))))
(exp.f64 (expm1.f64 b))
(cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 b)) 3))
(exp.f64 (expm1.f64 b))
(expm1.f64 (log1p.f64 (exp.f64 (expm1.f64 b))))
(exp.f64 (expm1.f64 b))
(log1p.f64 (expm1.f64 (exp.f64 (expm1.f64 b))))
(exp.f64 (expm1.f64 b))

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite58.0ms (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))))))

simplify57.0ms (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 error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

series7.0ms (0%)

Counts

3 → 39

Calls

15 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 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
0.0ms	b	@	-inf	(/.f64 b (+.f64 2 a))
0.0ms	a	@	-inf	(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
0.0ms	a	@	inf	(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`associate-*r/`
1058×	`*-commutative`
1018×	`associate-*l/`
912×	`associate-/r*`
672×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	220	53
2	3049	53

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate-/r/`
626×	`associate-+r-`
590×	`fma-def`
576×	`associate-+l-`
530×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	9863
1	1394	9243
2	6183	9233

Stop Event

1×	node limit

Counts

207 → 323

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 2 a) (expm1.f64 b))
	0.0b	(expm1.f64 b)
✓	0.0b	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series16.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	b	@	-inf	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))
6.0ms	b	@	inf	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))
0.0ms	a	@	0	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))
0.0ms	a	@	-inf	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))
0.0ms	a	@	inf	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`associate-*r/`
944×	`*-commutative`
790×	`distribute-lft-in`
784×	`associate-*l/`
772×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	213	38
2	2821	38

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1816×	`associate-*r/`
1160×	`associate-+r+`
1152×	`associate-+l+`
1028×	`+-commutative`
366×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	401	7530
1	1113	6998
2	4535	6998

Stop Event

1×	node limit

Counts

168 → 241

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

eval307.0ms (1.8%)

Compiler: Compiled 17735 to 12192 computations (31.3% saved)

prune157.0ms (0.9%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	794	8	802
Fresh	4	9	13
Picked	0	1	1
Done	1	6	7
Total	799	24	823

Error

Counts

823 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	60.7b	(/.f64 b (+.f64 2 a))
▶	30.0b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	31.7b	(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a)))
	31.4b	(+.f64 (+.f64 (log.f64 (+.f64 a 2)) (/.f64 b (+.f64 a 2))) (.f64 (.f64 1/2 (*.f64 b b)) (-.f64 (/.f64 1 (+.f64 a 2)) (/.f64 1 (pow.f64 (+.f64 a 2) 2)))))
	30.8b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	31.8b	(+.f64 (log1p.f64 (+.f64 a 1)) (/.f64 b (+.f64 2 a)))
	31.8b	(+.f64 (log.f64 (+.f64 2 a)) (*.f64 1/2 b))
	30.0b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
▶	62.4b	(*.f64 1/2 a)
	30.6b	(log1p.f64 (+.f64 (exp.f64 b) a))
✓	28.4b	(log1p.f64 (+.f64 (exp.f64 a) (log.f64 (exp.f64 (expm1.f64 b)))))
✓	0.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	29.5b	(log1p.f64 (exp.f64 b))
✓	30.4b	(log1p.f64 (exp.f64 a))
▶	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	31.6b	(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	30.6b	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))
▶	31.8b	(log.f64 (+.f64 (+.f64 2 a) b))
	32.2b	(log.f64 (+.f64 a 2))
	30.9b	(log.f64 (+.f64 2 b))
✓	29.5b	(log.f64 (+.f64 1 (exp.f64 b)))
✓	31.2b	(log.f64 2)

Compiler

Compiled 395 to 312 computations (21% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 4 computations (50% saved)

series13.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))

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 b))

Outputs

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`*-commutative`
874×	`associate-*r/`
744×	`associate-*l/`
734×	`distribute-lft-in`
714×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	30
2	2625	30

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1794×	`unswap-sqr`
748×	`associate-/r/`
550×	`associate-/l/`
444×	`+-commutative`
392×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	414	6605
1	1167	6205
2	4860	6205

Stop Event

1×	node limit

Counts

169 → 262

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	239	46
2	3166	46

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-*r/`
1280×	`associate-*l/`
878×	`associate-+l+`
852×	`+-commutative`
768×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	376	8991
1	1077	7803
2	4564	7803

Stop Event

1×	node limit

Counts

149 → 239

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	189	24
2	2455	24

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1196×	`times-frac`
926×	`associate-+r+`
774×	`associate-+l+`
726×	`unswap-sqr`
684×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2480
1	419	2380
2	1948	2368

Stop Event

1×	node limit

Counts

98 → 108

Calls

Call 1

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

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

eval265.0ms (1.5%)

Compiler: Compiled 15314 to 10603 computations (30.8% saved)

prune126.0ms (0.7%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	692	3	695
Fresh	0	12	12
Picked	1	0	1
Done	0	11	11
Total	693	26	719

Error

Counts

719 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	60.7b	(/.f64 b (+.f64 2 a))
	31.7b	(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a)))
	31.4b	(+.f64 (+.f64 (log.f64 (+.f64 a 2)) (/.f64 b (+.f64 a 2))) (.f64 (.f64 1/2 (*.f64 b b)) (-.f64 (/.f64 1 (+.f64 a 2)) (/.f64 1 (pow.f64 (+.f64 a 2) 2)))))
	30.8b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	31.8b	(+.f64 (log1p.f64 (+.f64 a 1)) (/.f64 b (+.f64 2 a)))
	31.8b	(+.f64 (log.f64 (+.f64 2 a)) (*.f64 1/2 b))
	30.0b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
✓	62.4b	(*.f64 1/2 a)
	31.8b	(log1p.f64 (+.f64 (+.f64 a b) 1))
	30.6b	(log1p.f64 (+.f64 (exp.f64 b) a))
✓	28.4b	(log1p.f64 (+.f64 (exp.f64 a) (log.f64 (exp.f64 (expm1.f64 b)))))
✓	0.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	30.7b	(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
✓	29.5b	(log1p.f64 (exp.f64 b))
✓	30.4b	(log1p.f64 (exp.f64 a))
✓	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	31.6b	(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	30.6b	(log.f64 (+.f64 (+.f64 2 a) (expm1.f64 b)))
✓	31.8b	(log.f64 (+.f64 (+.f64 2 a) b))
	32.2b	(log.f64 (+.f64 a 2))
	30.9b	(log.f64 (+.f64 2 b))
✓	29.5b	(log.f64 (+.f64 1 (exp.f64 b)))
	63.0b	(log.f64 b)
✓	31.2b	(log.f64 2)

Compiler

Compiled 238 to 187 computations (21.4% saved)

regimes64.0ms (0.4%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	a
18.0ms	b
5.0ms	(exp.f64 b)
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.3b	1	`(exp.f64 a)`
0.3b	1	`(exp.f64 b)`

Compiler

Compiled 389 to 246 computations (36.8% saved)

regimes163.0ms (0.9%)

Counts

33 → 2

Calls

Call 1

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

105.0ms	b
29.0ms	a
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.0b	2	`a`
18.7b	8	`b`
0.0b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.0b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.0b	2	`(exp.f64 a)`
27.4b	1	`(exp.f64 b)`

Compiler

Compiled 297 to 198 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999121702384135

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes157.0ms (0.9%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

4 calls:

112.0ms	b
28.0ms	a
5.0ms	(exp.f64 a)
5.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.3b	2	`a`
19.6b	8	`b`
0.3b	2	`(exp.f64 a)`
28.2b	2	`(exp.f64 b)`

Compiler

Compiled 276 to 185 computations (33% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999121702384135

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes114.0ms (0.7%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

4 calls:

79.0ms	b
22.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.8b	2	`a`
19.6b	8	`b`
0.8b	2	`(exp.f64 a)`
28.5b	2	`(exp.f64 b)`

Compiler

Compiled 159 to 107 computations (32.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999121702384135

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes109.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	b
21.0ms	a
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.8b	2	`a`
19.6b	8	`b`
0.8b	2	`(exp.f64 a)`
28.5b	2	`(exp.f64 b)`

Compiler

Compiled 154 to 104 computations (32.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999121702384135

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes101.0ms (0.6%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	b
20.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
20.8b	8	`b`
1.3b	2	`(exp.f64 a)`

Compiler

Compiled 147 to 99 computations (32.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999121702384135

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes105.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

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

83.0ms	b
18.0ms	a

Results

Error	Segments	Branch
1.3b	2	`a`
20.1b	10	`b`

Compiler

Compiled 128 to 87 computations (32% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-8102192.720190173	-8.783361884582708e-5

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 253 to 190 computations (24.9% saved)

regimes101.0ms (0.6%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

79.0ms	b
18.0ms	a

Results

Error	Segments	Branch
1.5b	2	`a`
20.1b	10	`b`

Compiler

Compiled 116 to 81 computations (30.2% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-8102192.720190173	-8.783361884582708e-5

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 233 to 180 computations (22.7% saved)

regimes97.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

Calls

2 calls:

77.0ms	b
17.0ms	a

Results

Error	Segments	Branch
1.5b	2	`a`
20.1b	10	`b`

Compiler

Compiled 106 to 74 computations (30.2% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-8102192.720190173	-8.783361884582708e-5

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 233 to 180 computations (22.7% saved)

regimes93.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

73.0ms	b
16.0ms	a

Results

Error	Segments	Branch
1.5b	2	`a`
20.1b	10	`b`

Compiler

Compiled 96 to 67 computations (30.2% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-8102192.720190173	-8.783361884582708e-5

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 213 to 170 computations (20.2% saved)

regimes81.0ms (0.5%)

Counts

13 → 2

Calls

Call 1

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

65.0ms	b
14.0ms	a

Results

Error	Segments	Branch
1.6b	2	`a`
20.3b	10	`b`

Compiler

Compiled 68 to 48 computations (29.4% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	-8102192.720190173	-8.783361884582708e-5

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 193 to 150 computations (22.3% saved)

regimes17.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

Calls

2 calls:

8.0ms	a
7.0ms	b

Results

Error	Segments	Branch
30.8b	1	`a`
30.8b	1	`b`

Compiler

Compiled 62 to 44 computations (29% saved)

regimes16.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	b
6.0ms	a

Results

Error	Segments	Branch
30.9b	1	`a`
30.9b	1	`b`

Compiler

Compiled 56 to 39 computations (30.4% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(log.f64 2)

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0%)

Accuracy

Total -1.7b remaining (-2.9%)

Threshold costs -1.7b (-2.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
60.7b	1	`a`
60.7b	1	`b`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	578
1	87	578

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

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

Compiler

Compiled 240 to 178 computations (25.8% saved)

soundness178.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1308×	`associate-+r+`
1090×	`fma-def`
1032×	`+-commutative`
1004×	`unswap-sqr`
902×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350
0	588	12328
1	1637	11828
2	7237	11678

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 76 to 48 computations (36.8% saved)

end120.0ms (0.7%)

Compiler: Compiled 248 to 155 computations (37.5% saved)