Details

analyze186.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.3s (64.9%)

Results

9.0s	7820×	body	8192	exit
1.2s	2061×	body	1024	valid
699.0ms	5016×	body	256	valid
284.0ms	976×	body	512	valid
154.0ms	203×	body	2048	valid

Bogosity

preprocess39.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	4.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series95.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
52.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
15.0ms	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)))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify82.0ms (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))

eval37.0ms (0.2%)

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

prune22.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	10	116

Error

0.6b

Counts

116 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a))))
	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	1.5b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	32.0b	(log1p.f64 (exp.f64 b))
▶	31.1b	(log1p.f64 (exp.f64 a))
▶	29.7b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	29.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	29.4b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
	29.7b	(log.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	29.3b	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 218 to 160 computations (26.6% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/2 (+.f64 1 (exp.f64 a)))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
✓	0.0b	(+.f64 1 (exp.f64 a))
✓	0.1b	(+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

Compiler

Compiled 112 to 67 computations (40.2% saved)

series18.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
1.0ms	a	@	-inf	(+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
1.0ms	a	@	0	(+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
0.0ms	a	@	inf	(/.f64 1/2 (+.f64 1 (exp.f64 a)))
0.0ms	a	@	-inf	(/.f64 1/2 (+.f64 1 (exp.f64 a)))

rewrite140.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`associate-/r*`
1014×	`distribute-lft-in`
884×	`associate-/r/`
522×	`associate-/l*`
310×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	90
1	309	86
2	4028	86

Stop Event

1×	node limit

Counts

4 → 347

Calls

Call 1

Inputs
(+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 1 (exp.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(/.f64 1/2 (+.f64 1 (exp.f64 a)))

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

simplify228.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-l`
1140×	`distribute-lft-in`
1012×	`associate-/l*`
936×	`*-commutative`
730×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	913	23883
1	2706	23373

Stop Event

1×	node limit

Counts

371 → 566

Calls

Call 1

Inputs
1/8
(+.f64 (*.f64 -1/32 (pow.f64 a 2)) 1/8)
(+.f64 (.f64 -1/32 (pow.f64 a 2)) (+.f64 1/8 (.f64 1/192 (pow.f64 a 4))))
(+.f64 (.f64 -1/32 (pow.f64 a 2)) (+.f64 (.f64 -17/23040 (pow.f64 a 6)) (+.f64 1/8 (*.f64 1/192 (pow.f64 a 4)))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
4
(+.f64 (*.f64 4 a) 4)
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) 4))
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) (+.f64 4 (*.f64 5/3 (pow.f64 a 3)))))
1/4
(+.f64 1/4 (*.f64 -1/8 a))
(+.f64 1/4 (+.f64 (.f64 1/96 (pow.f64 a 3)) (.f64 -1/8 a)))
(+.f64 1/4 (+.f64 (.f64 -1/960 (pow.f64 a 5)) (+.f64 (.f64 1/96 (pow.f64 a 3)) (*.f64 -1/8 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (-.f64 1 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (-.f64 1 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(-.f64 (/.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 1/4 (.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) 1)
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))) 1)
(*.f64 1 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(*.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a)))) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 1 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/8 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 3))) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (-.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 -1/2 (.f64 -1/2 (exp.f64 a)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(.f64 (/.f64 1 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (-.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (-.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/8 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 3))))
(.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 -1/2 (.f64 -1/2 (exp.f64 a)))))
(.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (-.f64 (*.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/8 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 3)))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (-.f64 (.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 -1/2 (.f64 -1/2 (exp.f64 a))))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
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(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (.f64 1 (.f64 (-.f64 1 (exp.f64 a)) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 1 (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.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 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (-.f64 1 (exp.f64 a)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (cbrt.f64 (-.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 1 (exp.f64 a))) 1) (-.f64 1 (exp.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 1 (exp.f64 a))) (.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (cbrt.f64 (-.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (exp.f64 a))) 1) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (exp.f64 a))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 1 (exp.f64 a))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (-.f64 1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (exp.f64 a))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (exp.f64 a))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (*.f64 -1 (exp.f64 a))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (*.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (exp.f64 a)))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (cbrt.f64 (exp.f64 a)))))
(+.f64 (.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (*.f64 (exp.f64 a) (expm1.f64 a))))
(+.f64 (.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (.f64 (exp.f64 a) (expm1.f64 a))) (*.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))))) 1)
(*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 1 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) 1)
(*.f64 -1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1/2)
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 1/2 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 1/2 (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1/2 (.f64 1/2 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 1/2 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) -1/2)
(*.f64 (/.f64 -1/2 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 1/2 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 1/2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 1/2 (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 (sqrt.f64 (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 1/2 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (*.f64 (+.f64 1 (exp.f64 a)) 2) -1)
(pow.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 1/2) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 1/2) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))

Outputs
1/8
(+.f64 (*.f64 -1/32 (pow.f64 a 2)) 1/8)
(fma.f64 -1/32 (*.f64 a a) 1/8)
(+.f64 (.f64 -1/32 (pow.f64 a 2)) (+.f64 1/8 (.f64 1/192 (pow.f64 a 4))))
(+.f64 (fma.f64 -1/32 (.f64 a a) 1/8) (.f64 1/192 (pow.f64 a 4)))
(+.f64 (.f64 -1/32 (pow.f64 a 2)) (+.f64 (.f64 -17/23040 (pow.f64 a 6)) (+.f64 1/8 (*.f64 1/192 (pow.f64 a 4)))))
(fma.f64 -1/32 (.f64 a a) (fma.f64 -17/23040 (pow.f64 a 6) (+.f64 1/8 (.f64 1/192 (pow.f64 a 4)))))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (fma.f64 1/2 (.f64 a a) (+.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))
4
(+.f64 (*.f64 4 a) 4)
(fma.f64 4 a 4)
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) 4))
(fma.f64 4 a (fma.f64 3 (*.f64 a a) 4))
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) (+.f64 4 (*.f64 5/3 (pow.f64 a 3)))))
(fma.f64 4 a (+.f64 (fma.f64 3 (.f64 a a) 4) (.f64 (pow.f64 a 3) 5/3)))
(+.f64 (fma.f64 4 a (fma.f64 3 (.f64 a a) 4)) (.f64 (pow.f64 a 3) 5/3))
1/4
(+.f64 1/4 (*.f64 -1/8 a))
(+.f64 1/4 (*.f64 a -1/8))
(+.f64 1/4 (+.f64 (.f64 1/96 (pow.f64 a 3)) (.f64 -1/8 a)))
(+.f64 1/4 (fma.f64 1/96 (pow.f64 a 3) (*.f64 a -1/8)))
(+.f64 1/4 (+.f64 (.f64 -1/960 (pow.f64 a 5)) (+.f64 (.f64 1/96 (pow.f64 a 3)) (*.f64 -1/8 a))))
(+.f64 1/4 (fma.f64 -1/960 (pow.f64 a 5) (fma.f64 1/96 (pow.f64 a 3) (*.f64 a -1/8))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (-.f64 1 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a)))))) 1)
(fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (-.f64 1 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) 1) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) -1))
(-.f64 (/.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 1/4 (.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) 1) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) -1))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 1 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(*.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a)))) 1)
(fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) 2))
(fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 1 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(/.f64 (*.f64 (fma.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (neg.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) 1) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
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(/.f64 1/2 (+.f64 1 (exp.f64 a)))
(pow.f64 (*.f64 (+.f64 1 (exp.f64 a)) 2) -1)
(/.f64 1 (*.f64 2 (+.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 2 (*.f64 2 (exp.f64 a))))
(pow.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(sqrt.f64 (*.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(/.f64 1/2 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(/.f64 1/2 (+.f64 1 (exp.f64 a)))
(cbrt.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(/.f64 1/2 (+.f64 1 (exp.f64 a)))
(exp.f64 (-.f64 (log.f64 1/2) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 1/2) (log1p.f64 (exp.f64 a))) 1))
(exp.f64 (-.f64 (log.f64 1/2) (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))
(/.f64 1/2 (+.f64 1 (exp.f64 a)))

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)

series42.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (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))))))))

simplify71.0ms (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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	3.4b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series28.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

168 → 246

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series28.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	b	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms	a	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms	b	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms	a	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
0.0ms	a	@	0	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.1b	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	4.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series93.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	a	@	inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
16.0ms	b	@	inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	a	@	-inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	b	@	-inf	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms	a	@	0	(log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`add-sqr-sqrt`
1956×	`*-un-lft-identity`
1816×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	215	42
2	2456	42

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-+r-`
996×	`associate-/r*`
864×	`*-commutative`
816×	`associate-+l+`
770×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4037
1	662	3955
2	2774	3873
3	7399	3873

Stop Event

1×	node limit

Counts

89 → 104

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

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

eval799.0ms (4.6%)

Compiler: Compiled 49245 to 29442 computations (40.2% saved)

prune353.0ms (2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1333	13	1346
Fresh	2	2	4
Picked	1	0	1
Done	1	4	5
Total	1337	19	1356

Error

0.6b

Counts

1356 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.9b	(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
	2.2b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) 1/8 (log1p.f64 (exp.f64 a))))
▶	32.7b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
✓	1.5b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	2.5b	(log1p.f64 (+.f64 (exp.f64 a) b))
	32.0b	(log1p.f64 (exp.f64 b))
✓	31.1b	(log1p.f64 (exp.f64 a))
	32.2b	(log.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 b (+.f64 2 a))))
	29.8b	(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))
✓	29.7b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	29.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	31.2b	(log.f64 (+.f64 2 (expm1.f64 a)))
	32.2b	(log.f64 (+.f64 2 b))
	29.4b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
	63.1b	(log.f64 b)
▶	32.7b	(log.f64 2)
	1.2b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
	32.0b	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))

Compiler

Compiled 316 to 239 computations (24.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (expm1.f64 a))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
	0.0b	(log1p.f64 (exp.f64 a))
✓	0.0b	(/.f64 b (+.f64 2 (expm1.f64 a)))

Compiler

Compiled 32 to 15 computations (53.1% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
1.0ms	b	@	inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
1.0ms	a	@	inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	b	@	0	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	a	@	-inf	(/.f64 b (+.f64 2 (expm1.f64 a)))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`associate-*r/`
1350×	`associate-*l/`
922×	`associate-/r*`
680×	`associate-/l*`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	257	59
2	3446	59

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-+r+`
788×	`associate-+l+`
780×	`+-commutative`
616×	`associate-/l*`
502×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	10302
1	1332	9916
2	5922	9912

Stop Event

1×	node limit

Counts

240 → 289

Calls

Call 1

Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 2 (expm1.f64 a)) 0)
(-.f64 (exp.f64 a) -1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (expm1.f64 a) 2) (-.f64 2 (expm1.f64 a))))
(*.f64 (+.f64 2 (expm1.f64 a)) 1)
(*.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (+.f64 2 (expm1.f64 a))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (+.f64 2 (expm1.f64 a))))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (/.f64 1 (-.f64 2 (expm1.f64 a))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (/.f64 1 (/.f64 1 (-.f64 2 (expm1.f64 a)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (/.f64 1 (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (/.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (/.f64 (-.f64 2 (expm1.f64 a)) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (/.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (/.f64 (-.f64 2 (expm1.f64 a)) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) (+.f64 (exp.f64 a) -3))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) 1) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 1) (-.f64 2 (expm1.f64 a)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 1 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (neg.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (+.f64 (exp.f64 a) -3))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 1) (neg.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) 1) (+.f64 (exp.f64 a) -3))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (-.f64 16 (.f64 (pow.f64 (expm1.f64 a) 2) (pow.f64 (expm1.f64 a) 2))) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))
(/.f64 (.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 (+.f64 16 (.f64 (pow.f64 (expm1.f64 a) 2) (pow.f64 (expm1.f64 a) 2))) (*.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (.f64 (-.f64 64 (.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (-.f64 (+.f64 64 (.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 1) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (sqrt.f64 (-.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) 1) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(pow.f64 (+.f64 2 (expm1.f64 a)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (expm1.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))
(fma.f64 1 (expm1.f64 a) 2)
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (*.f64 b a))))
(fma.f64 b 1/2 (fma.f64 -1/4 (.f64 b a) (.f64 a (*.f64 a 0))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (fma.f64 b 1/2 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0)))) (.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
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(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
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(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
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(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 a 2) (.f64 (pow.f64 a 3) 1/6)))
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(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)
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(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) -1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) 1/3)
(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 b (+.f64 1 (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3))
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(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))) 1)
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(-.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
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(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) 1)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(*.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 1)
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(*.f64 1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
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(/.f64 (.f64 (-.f64 16 (.f64 (pow.f64 (expm1.f64 a) 2) (pow.f64 (expm1.f64 a) 2))) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))
(/.f64 (-.f64 16 (pow.f64 (expm1.f64 a) 4)) (/.f64 (+.f64 4 (pow.f64 (expm1.f64 a) 2)) (/.f64 1 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 16 (pow.f64 (expm1.f64 a) 4)) (*.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) 4) (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 (+.f64 16 (.f64 (pow.f64 (expm1.f64 a) 2) (pow.f64 (expm1.f64 a) 2))) (*.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (.f64 (/.f64 1 (-.f64 2 (expm1.f64 a))) (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3))) (+.f64 16 (+.f64 (pow.f64 (expm1.f64 a) 4) (.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (-.f64 2 (expm1.f64 a))) (fma.f64 4 (pow.f64 (expm1.f64 a) 2) (+.f64 16 (pow.f64 (expm1.f64 a) 4))))
(/.f64 (.f64 (-.f64 64 (.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))
(/.f64 (.f64 (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (-.f64 64 (pow.f64 (expm1.f64 a) 6))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))
(/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (*.f64 (-.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4)))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (-.f64 (+.f64 64 (.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (/.f64 (+.f64 64 (-.f64 (pow.f64 (expm1.f64 a) 6) (.f64 8 (pow.f64 (expm1.f64 a) 3)))) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (.f64 (+.f64 64 (-.f64 (pow.f64 (expm1.f64 a) 6) (.f64 8 (pow.f64 (expm1.f64 a) 3)))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 1) (-.f64 2 (expm1.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (+.f64 -2 (expm1.f64 a)))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (+.f64 (expm1.f64 a) -2))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (sqrt.f64 (-.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (+.f64 -2 (expm1.f64 a)))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (+.f64 (expm1.f64 a) -2))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (+.f64 -2 (expm1.f64 a)))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (+.f64 (expm1.f64 a) -2))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) 1) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(pow.f64 (+.f64 2 (expm1.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) 2)
(+.f64 1 (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 3)
(+.f64 1 (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3) 1/3)
(+.f64 1 (exp.f64 a))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 a)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))
(fabs.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (expm1.f64 a)))))
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))
(+.f64 1 (exp.f64 a))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (expm1.f64 a) 2)
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(+.f64 1 (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)
(+.f64 1 (exp.f64 a))

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series4.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`add-sqr-sqrt`
1666×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1532×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	163	15
2	2070	15

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-*r/`
1292×	`associate-*l/`
1136×	`associate-r`
968×	`+-commutative`
850×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1394
1	306	1352
2	1141	1330
3	5148	1318

Stop Event

1×	node limit

Counts

40 → 77

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series20.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
4.0ms	b	@	inf	(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
3.0ms	b	@	-inf	(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
2.0ms	b	@	0	(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
0.0ms	a	@	0	(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`distribute-lft-in`
1230×	`associate-/r*`
810×	`associate-/l*`
470×	`associate-/r/`
276×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	255	50
2	3657	50

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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(cbrt.f64 (log.f64 b)) 2) (cbrt.f64 (log.f64 b)) (/.f64 1 b))))))

simplify147.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-+r+`
762×	`associate-r`
588×	`distribute-lft-in`
586×	`associate-l`
546×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	530	12732
1	1581	12334
2	7547	12334

Stop Event

1×	node limit

Counts

196 → 280

Calls

Call 1

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

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

eval271.0ms (1.6%)

Compiler: Compiled 20051 to 10936 computations (45.5% saved)

prune145.0ms (0.8%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	726	10	736
Fresh	2	8	10
Picked	1	0	1
Done	0	8	8
Total	729	26	755

Error

0.6b

Counts

755 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.2b	(/.f64 (+.f64 1 (exp.f64 a)) b)
	1.0b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
	2.2b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) 1/8 (log1p.f64 (exp.f64 a))))
	32.0b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	32.7b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	1.6b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 3))
▶	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))
✓	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
	26.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
	31.9b	(+.f64 (log.f64 2) (/.f64 b (+.f64 2 (expm1.f64 a))))
▶	62.3b	(*.f64 1/2 a)
✓	1.5b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓	2.5b	(log1p.f64 (+.f64 (exp.f64 a) b))
	32.0b	(log1p.f64 (exp.f64 b))
✓	31.1b	(log1p.f64 (exp.f64 a))
▶	29.8b	(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))
✓	29.7b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	29.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	31.2b	(log.f64 (+.f64 2 (expm1.f64 a)))
	32.2b	(log.f64 (+.f64 2 b))
	29.4b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
	63.1b	(log.f64 b)
✓	32.7b	(log.f64 2)
	1.2b	(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
▶	32.0b	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
	17.8b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 469 to 364 computations (22.4% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
✓	0.0b	(*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
✓	0.5b	(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
✓	0.5b	(cbrt.f64 (-.f64 2 (expm1.f64 a)))

Compiler

Compiled 141 to 88 computations (37.6% saved)

series16.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
3.0ms	a	@	-inf	(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
2.0ms	a	@	inf	(cbrt.f64 (-.f64 2 (expm1.f64 a)))
2.0ms	a	@	inf	(*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
1.0ms	a	@	-inf	(*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-/r/`
1632×	`associate-/l/`
316×	`add-sqr-sqrt`
308×	`*-un-lft-identity`
304×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	142
1	315	90
2	4463	90

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 2 (expm1.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
(*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))

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

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

942×	`associate-r`
708×	`times-frac`
670×	`associate-l`
656×	`associate-/r*`
600×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	531	10152
1	1552	9092

Stop Event

1×	node limit

Counts

218 → 282

Calls

Call 1

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

Outputs
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) a)))
(+.f64 (cbrt.f64 2) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) a)))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) a) (cbrt.f64 2))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 a 2) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (cbrt.f64 2) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) a))))
(fma.f64 -1/3 (/.f64 (.f64 a a) (/.f64 (pow.f64 (cbrt.f64 2) 2) (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))))) (+.f64 (cbrt.f64 2) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) a))))
(fma.f64 -1/3 (.f64 (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) 1/2)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) a) (cbrt.f64 2)))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 a 2) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (+.f64 1/6 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))))) (pow.f64 (cbrt.f64 2) 2))) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) a)))))
(fma.f64 -1/3 (/.f64 (.f64 a a) (/.f64 (pow.f64 (cbrt.f64 2) 2) (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))))) (+.f64 (cbrt.f64 2) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 2) 2)) 1/6) (.f64 2/3 (.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))))))) (.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) a)))))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 2) 2)) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 2) 2)) (fma.f64 2/3 (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))) 1/6))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) a))) (fma.f64 -1/3 (.f64 (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) 1/2)) (cbrt.f64 2)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(pow.f64 (-.f64 3 (exp.f64 a)) 1/3)
(cbrt.f64 (-.f64 3 (exp.f64 a)))
(*.f64 4 (cbrt.f64 1/4))
(+.f64 (.f64 4 (cbrt.f64 1/4)) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) a)))
(fma.f64 4 (cbrt.f64 1/4) (.f64 1/3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))
(fma.f64 1/3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 4 (cbrt.f64 1/4)))
(+.f64 (.f64 4 (cbrt.f64 1/4)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 4/3 (/.f64 (-.f64 5/16 (.f64 1/48 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 -1 (cbrt.f64 1/4)))) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) a))))
(fma.f64 4 (cbrt.f64 1/4) (fma.f64 (.f64 a a) (fma.f64 4/3 (/.f64 (+.f64 5/16 (.f64 -1/48 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (pow.f64 (cbrt.f64 1/4) 2)) (neg.f64 (cbrt.f64 1/4))) (.f64 1/3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))))
(fma.f64 4 (cbrt.f64 1/4) (fma.f64 (.f64 a a) (-.f64 (/.f64 (+.f64 5/12 (.f64 4/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/48))) (pow.f64 (cbrt.f64 1/4) 2)) (cbrt.f64 1/4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 a 1/3))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 4/3 (/.f64 (-.f64 17/48 (+.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 5/16 (.f64 1/48 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3)) (.f64 -1 (cbrt.f64 1/4))))) (+.f64 (.f64 4 (cbrt.f64 1/4)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 4/3 (/.f64 (-.f64 5/16 (.f64 1/48 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 -1 (cbrt.f64 1/4)))) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) a)))))
(fma.f64 (pow.f64 a 3) (fma.f64 4/3 (/.f64 (-.f64 (-.f64 17/48 (/.f64 1/1728 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 1/6 (.f64 (+.f64 5/16 (.f64 -1/48 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))))) (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (neg.f64 (cbrt.f64 1/4)))) (fma.f64 4 (cbrt.f64 1/4) (fma.f64 (.f64 a a) (fma.f64 4/3 (/.f64 (+.f64 5/16 (.f64 -1/48 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (pow.f64 (cbrt.f64 1/4) 2)) (neg.f64 (cbrt.f64 1/4))) (.f64 1/3 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 4/3 (/.f64 (-.f64 17/48 (fma.f64 1/6 (.f64 (+.f64 5/16 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/48)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/1728 (pow.f64 (cbrt.f64 1/4) 2)))) (pow.f64 (cbrt.f64 1/4) 2)) (-.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) -1/12) (cbrt.f64 1/4))) (fma.f64 4 (cbrt.f64 1/4) (fma.f64 (.f64 a a) (-.f64 (/.f64 (+.f64 5/12 (.f64 4/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/48))) (pow.f64 (cbrt.f64 1/4) 2)) (cbrt.f64 1/4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 a 1/3)))))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 3 (exp.f64 a)) 2))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(cbrt.f64 4)
(+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3) a)) (cbrt.f64 4))
(fma.f64 -4/3 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3) a)) (+.f64 (cbrt.f64 4) (.f64 -1/3 (/.f64 (.f64 (pow.f64 a 2) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)) 1)) (pow.f64 (cbrt.f64 4) 2)))))
(+.f64 (fma.f64 -4/3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4)) (.f64 -1/3 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (cbrt.f64 4) 2) (fma.f64 16/3 (cbrt.f64 (/.f64 1 (cbrt.f64 4))) 1)))))
(fma.f64 -4/3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (fma.f64 -1/3 (.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 4) 2)) (fma.f64 16/3 (cbrt.f64 (/.f64 1 (cbrt.f64 4))) 1)) (cbrt.f64 4)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3) a)) (+.f64 (cbrt.f64 4) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 64/27 (/.f64 1 (pow.f64 (cbrt.f64 4) 2))) 1/3) (.f64 8/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 5)) 1/3) (+.f64 (.f64 16/3 (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)) 1))))) (pow.f64 (cbrt.f64 4) 2))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 a 2) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)) 1)) (pow.f64 (cbrt.f64 4) 2))))))
(+.f64 (fma.f64 -4/3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4)) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (cbrt.f64 4) 2) (-.f64 (+.f64 1/3 (/.f64 64/27 (pow.f64 (cbrt.f64 4) 2))) (.f64 (.f64 8/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 5)))) (fma.f64 16/3 (cbrt.f64 (/.f64 1 (cbrt.f64 4))) 1))))) (.f64 -1/3 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (cbrt.f64 4) 2) (fma.f64 16/3 (cbrt.f64 (/.f64 1 (cbrt.f64 4))) 1))))))
(+.f64 (fma.f64 -4/3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 4) 2)) (+.f64 (/.f64 64/27 (pow.f64 (cbrt.f64 4) 2)) (+.f64 1/3 (.f64 (.f64 -8/3 (fma.f64 16/3 (cbrt.f64 (/.f64 1 (cbrt.f64 4))) 1)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 5))))))) (.f64 -1/3 (.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 4) 2)) (fma.f64 16/3 (cbrt.f64 (/.f64 1 (cbrt.f64 4))) 1)))))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 3 (exp.f64 a)) 2))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 a (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 2 a) (.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 (*.f64 a a) 1/2 2))
(/.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (-.f64 3 (exp.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 3 (exp.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (-.f64 3 (exp.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 3 (exp.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (-.f64 (exp.f64 a) 1) 2)) (-.f64 3 (exp.f64 a)))
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(/.f64 (*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 (exp.f64 a) -1))) (/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2)))
(.f64 (/.f64 (.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2)) (cbrt.f64 (-.f64 8 (pow.f64 (expm1.f64 a) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 2 (expm1.f64 a))))))
(.f64 (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 2 (expm1.f64 a))))) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 8 (pow.f64 (expm1.f64 a) 3))) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2)) (/.f64 (cbrt.f64 (-.f64 8 (pow.f64 (expm1.f64 a) 3))) (cbrt.f64 (fma.f64 (expm1.f64 a) (-.f64 (exp.f64 a) -1) 4))))
(.f64 (/.f64 1 (/.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 (.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2))) 2))) (cbrt.f64 (*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 2)) (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 2)) (/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 2)) (-.f64 2 (expm1.f64 a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2))) 2) (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (cbrt.f64 (*.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) 1) (.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 4))) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) 2)))
(.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) 2)) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 4)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2))) (+.f64 -4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2))))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (neg.f64 (-.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2) 1)) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) -2) (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 2)))) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 2))))
(/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (/.f64 (-.f64 2 (expm1.f64 a)) (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 2))))
(pow.f64 (+.f64 2 (expm1.f64 a)) 1)
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) 2)
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 3)
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3) 1/3)
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(pow.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) -1)
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2))))
(*.f64 (+.f64 (pow.f64 (expm1.f64 a) 2) -4) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2))))
(/.f64 (fma.f64 (expm1.f64 a) (expm1.f64 a) -4) (neg.f64 (-.f64 2 (expm1.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))
(fabs.f64 (-.f64 (exp.f64 a) -1))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (expm1.f64 a)))))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(expm1.f64 (log.f64 (+.f64 3 (expm1.f64 a))))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 2 (expm1.f64 a))) 1))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 a) -1)

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`add-sqr-sqrt`
1888×	`*-un-lft-identity`
1758×	`add-cube-cbrt`
1738×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	182	17
2	2330	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-/r*`
1092×	`associate-+r+`
1062×	`associate-+l+`
822×	`fma-def`
716×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	778
1	255	758
2	887	758
3	3350	758
4	6916	758

Stop Event

1×	node limit

Counts

36 → 47

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 2 b) (exp.f64 a))
✓	0.1b	(-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1)
✓	3.4b	(log.f64 (-.f64 (+.f64 (+.f64 2 b) (exp.f64 a)) 1))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-*r/`
1568×	`associate-*l/`
376×	`associate-+l+`
314×	`associate-/r*`
312×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	260	55
2	3478	55

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1202×	`associate-/r/`
662×	`associate--r+`
568×	`associate-/l*`
566×	`+-commutative`
544×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	629	12874
1	1604	12422
2	6127	12412

Stop Event

1×	node limit

Counts

298 → 443

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (log1p.f64 (exp.f64 b)))
✓	0.1b	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
✓	1.2b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series55.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	b	@	-inf	(log1p.f64 (log1p.f64 (exp.f64 b)))
12.0ms	b	@	inf	(log1p.f64 (log1p.f64 (exp.f64 b)))
12.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
11.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (log1p.f64 (exp.f64 b)))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`add-sqr-sqrt`
994×	`*-un-lft-identity`
940×	`pow1`
920×	`add-cube-cbrt`
908×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
1	133	31
2	1294	31

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

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

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-*r/`
760×	`*-commutative`
742×	`fma-def`
622×	`times-frac`
614×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1411
1	299	1393
2	1219	1361
3	4184	1355

Stop Event

1×	node limit

Counts

87 → 64

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))) (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 b 2)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 b 2))) (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(-.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 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) 1) (+.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) (+.f64 1 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))))
(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))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(-.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 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) 1) (+.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) (+.f64 1 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))))
(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))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)
(*.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))))
(pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))))
(exp.f64 (log.f64 (log1p.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))
(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))
(log.f64 (+.f64 1 (log.f64 2)))
(log1p.f64 (log.f64 2))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 1/2 (/.f64 b (+.f64 (log.f64 2) 1))))
(fma.f64 1/2 (/.f64 b (+.f64 (log.f64 2) 1)) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))) (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 b 2)))))
(+.f64 (log1p.f64 (log.f64 2)) (.f64 1/2 (+.f64 (/.f64 b (+.f64 (log.f64 2) 1)) (.f64 (*.f64 b b) (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 b (+.f64 (log.f64 2) 1)) (.f64 b (.f64 b (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))))) (log1p.f64 (log.f64 2)))
(fma.f64 1/2 (/.f64 b (+.f64 (log.f64 2) 1)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/8 (+.f64 (log.f64 2) 1)) (/.f64 -1/8 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (log1p.f64 (log.f64 2))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 b 2))) (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))))))
(+.f64 (log1p.f64 (log.f64 2)) (fma.f64 1/2 (/.f64 b (+.f64 (log.f64 2) 1)) (fma.f64 1/2 (.f64 (.f64 b b) (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (.f64 (.f64 1/6 (pow.f64 b 3)) (-.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2)))))))
(+.f64 (fma.f64 1/2 (+.f64 (/.f64 b (+.f64 (log.f64 2) 1)) (.f64 b (.f64 b (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))))) (log1p.f64 (log.f64 2))) (.f64 (pow.f64 b 3) (.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 -3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2))) 1/6)))
(fma.f64 1/2 (fma.f64 b (.f64 b (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (/.f64 b (+.f64 (log.f64 2) 1))) (fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 -3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (log1p.f64 (log.f64 2))))
(fma.f64 1/2 (fma.f64 b (*.f64 b (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (/.f64 b (+.f64 (log.f64 2) 1))) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1/24 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 -1/16 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (log1p.f64 (log.f64 2))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(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 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))
(log1p.f64 (exp.f64 b))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) 1) (+.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) (+.f64 1 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(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))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(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 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))
(log1p.f64 (exp.f64 b))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) 1) (+.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) (+.f64 (log1p.f64 (exp.f64 b)) 1)) (+.f64 1 (.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(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))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)
(log1p.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (log1p.f64 (exp.f64 b)))
(*.f64 1 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 2))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 2)
(log1p.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 3)
(log1p.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 3) 1/3)
(log1p.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 3))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (log1p.f64 (exp.f64 b)))

eval480.0ms (2.7%)

Compiler: Compiled 29589 to 19743 computations (33.3% saved)

prune247.0ms (1.4%)

Pruning

34 alts after pruning (23 fresh and 11 done)

	Pruned	Kept	Total
New	1054	12	1066
Fresh	2	11	13
Picked	0	1	1
Done	2	10	12
Total	1058	34	1092

Error

0.6b

Counts

1092 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	62.3b	(/.f64 (+.f64 a 2) b)
✓	61.2b	(/.f64 (+.f64 1 (exp.f64 a)) b)
	61.2b	(/.f64 2 b)
	1.0b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
	2.2b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) 1/8 (log1p.f64 (exp.f64 a))))
	62.3b	(+.f64 (/.f64 a b) (/.f64 2 b))
	32.0b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	32.7b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	1.6b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 3))
	1.5b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (cbrt.f64 (-.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))
	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a)))) 2) 3)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))
	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))
	25.6b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (cbrt.f64 4)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))
✓	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
	26.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
	31.9b	(+.f64 (log.f64 2) (/.f64 b (+.f64 2 (expm1.f64 a))))
✓	62.3b	(*.f64 1/2 a)
✓	1.5b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓	2.5b	(log1p.f64 (+.f64 (exp.f64 a) b))
	32.0b	(log1p.f64 (exp.f64 b))
✓	31.1b	(log1p.f64 (exp.f64 a))
	29.9b	(log.f64 (-.f64 (-.f64 (+.f64 (exp.f64 a) (+.f64 b 3)) 1) 1))
	33.1b	(log.f64 (-.f64 (+.f64 a (+.f64 b 3)) 1))
	32.2b	(log.f64 (-.f64 b -2))
	29.8b	(log.f64 (+.f64 (+.f64 b (expm1.f64 a)) 2))
✓	29.7b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	29.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	31.2b	(log.f64 (+.f64 2 (expm1.f64 a)))
	29.4b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
	63.1b	(log.f64 b)
✓	32.7b	(log.f64 2)
	32.1b	(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
✓	32.0b	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
	17.8b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 382 to 298 computations (22% saved)

regimes71.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

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

Outputs
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a))))

Calls

6 calls:

19.0ms	a
19.0ms	b
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 489 to 288 computations (41.1% saved)

regimes63.0ms (0.4%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	b
17.0ms	a
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.9b	1	`a`
0.9b	1	`b`
0.9b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.9b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.9b	1	`(exp.f64 a)`
0.9b	1	`(exp.f64 b)`

Compiler

Compiled 348 to 202 computations (42% saved)

regimes47.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	a
12.0ms	b
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.5b	1	`a`
1.5b	1	`b`
1.5b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.5b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.5b	1	`(exp.f64 a)`
1.5b	1	`(exp.f64 b)`

Compiler

Compiled 208 to 135 computations (35.1% saved)

regimes45.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	b
12.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
2.5b	1	`a`
2.5b	1	`b`
2.5b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.5b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.5b	1	`(exp.f64 a)`
2.5b	1	`(exp.f64 b)`

Compiler

Compiled 194 to 125 computations (35.6% saved)

regimes24.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (exp.f64 a))

Calls

4 calls:

7.0ms	b
7.0ms	a
3.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
31.1b	1	`a`
31.1b	1	`b`
31.1b	1	`(exp.f64 a)`
31.1b	1	`(exp.f64 b)`

Compiler

Compiled 83 to 59 computations (28.9% saved)

regimes18.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 2 b)
(/.f64 (+.f64 a 2) b)
(+.f64 (/.f64 a b) (/.f64 2 b))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(log.f64 (-.f64 b -2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 (+.f64 1 (exp.f64 a)) b)
(log.f64 (-.f64 (+.f64 a (+.f64 b 3)) 1))

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

Calls

3 calls:

6.0ms	a
6.0ms	b
2.0ms	(exp.f64 a)

Results

Error	Segments	Branch
32.0b	1	`a`
32.0b	1	`b`
32.0b	1	`(exp.f64 a)`

Compiler

Compiled 68 to 49 computations (27.9% saved)

regimes13.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	b
5.0ms	a

Results

Error	Segments	Branch
32.2b	1	`a`
32.2b	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes10.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(log.f64 2)

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
32.7b	1	`a`
32.7b	1	`b`

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -1.8b remaining (-2.9%)

Threshold costs -1.8b (-2.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 2 b)

Calls

2 calls:

5.0ms	b
4.0ms	a

Results

Error	Segments	Branch
61.2b	1	`a`
61.2b	1	`b`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	210
1	46	210

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 91 to 68 computations (25.3% saved)

soundness88.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 239 to 170 computations (28.9% saved)

end67.0ms (0.4%)

Compiler: Compiled 135 to 86 computations (36.3% saved)