Details

analyze184.0ms (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)

sample11.1s (68.5%)

Results

8.7s	7811×	body	8192	exit
1.1s	1925×	body	1024	valid
680.0ms	5116×	body	256	valid
366.0ms	1004×	body	512	valid
161.0ms	211×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.4b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

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)

series62.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify79.0ms (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))

eval32.0ms (0.2%)

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

prune37.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Error

0.4b

Counts

116 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	1.8b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	30.2b	(log1p.f64 (exp.f64 b))
▶	29.7b	(log1p.f64 (exp.f64 a))
▶	29.2b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	27.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	29.0b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
▶	30.1b	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 144 to 110 computations (23.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series51.0ms (0.3%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	a	@	-inf	(/.f64 b (+.f64 1 (exp.f64 a)))
11.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
2.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

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

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

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

simplify174.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-+r+`
1018×	`+-commutative`
690×	`associate-r`
610×	`associate-/l*`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	587	12058
1	1636	11562
2	7416	11412

Stop Event

1×	node limit

Counts

250 → 336

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.3b	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	153	9
2	1770	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1286×	`fma-def`
1150×	`distribute-lft-in`
1032×	`*-commutative`
994×	`distribute-rgt-in`
726×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	401
1	162	369
2	568	365
3	2476	353
4	6475	353

Stop Event

1×	node limit

Counts

25 → 41

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	3.2b	(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
13.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
12.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

168 → 246

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 b)
✓	0.0b	(+.f64 (exp.f64 a) (expm1.f64 b))
✓	0.7b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series29.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	180	39
2	2264	39

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1192×	`distribute-lft-in`
1162×	`unswap-sqr`
1072×	`distribute-rgt-in`
718×	`*-commutative`
496×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3073
1	546	2975
2	2506	2963

Stop Event

1×	node limit

Counts

133 → 140

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

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

eval378.0ms (2.3%)

Compiler: Compiled 19322 to 11108 computations (42.5% saved)

prune184.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	867	12	879
Fresh	1	2	3
Picked	1	0	1
Done	4	1	5
Total	873	15	888

Error

0.4b

Counts

888 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	19.3b	(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))))
▶	32.4b	(/.f64 b (+.f64 2 (expm1.f64 a)))
▶	1.2b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
	30.8b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	1.8b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
▶	3.5b	(log1p.f64 (+.f64 (exp.f64 a) b))
	30.2b	(log1p.f64 (exp.f64 b))
✓	29.7b	(log1p.f64 (exp.f64 a))
▶	32.4b	(log.f64 (+.f64 a 2))
	31.1b	(log.f64 (+.f64 2 b))
	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
	63.0b	(log.f64 b)
▶	31.4b	(log.f64 2)
	16.3b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 367 to 264 computations (28.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.0b	(/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	0.1b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 56 to 28 computations (50% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	inf	(/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	-inf	(/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	0	(/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
0.0ms	b	@	inf	(/.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`associate-/r*`
954×	`distribute-lft-in`
914×	`associate-/l*`
790×	`associate-/r/`
318×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	282	68
2	3554	68

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 a)))) (*.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))) (/.f64 b (+.f64 1 (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 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (log.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 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simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1042×	`+-commutative`
982×	`associate-/r/`
844×	`associate-/l/`
558×	`associate-r`
482×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	12108
1	1375	11404
2	5736	11388

Stop Event

1×	node limit

Counts

174 → 239

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1428×	`*-un-lft-identity`
1336×	`add-cube-cbrt`
1324×	`add-cbrt-cube`
1312×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	145	11
2	1755	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1146×	`distribute-lft-in`
1008×	`distribute-rgt-in`
874×	`associate-+l+`
860×	`associate-+r+`
732×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	683
1	241	611
2	791	607
3	3173	607

Stop Event

1×	node limit

Counts

33 → 57

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	191	22
2	2476	22

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/l*`
1480×	`associate-*r/`
1196×	`associate-*l/`
662×	`associate-/r*`
620×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	4001
1	821	3699
2	3268	3687

Stop Event

1×	node limit

Counts

143 → 162

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 31

Calls

12 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	@	0	(+.f64 (exp.f64 a) b)

rewrite57.0ms (0.4%)

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	26
1	163	26
2	2070	26

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def`
784×	`associate-+r-`
784×	`unswap-sqr`
748×	`times-frac`
668×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	2466
1	523	2230
2	2023	2208
3	7862	2208

Stop Event

1×	node limit

Counts

82 → 125

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

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

eval336.0ms (2.1%)

Compiler: Compiled 18491 to 11482 computations (37.9% saved)

prune162.0ms (1%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	777	7	784
Fresh	3	6	9
Picked	0	1	1
Done	1	4	5
Total	781	18	799

Error

0.4b

Counts

799 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	60.8b	(/.f64 b (+.f64 2 a))
	30.8b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	45.0b	(/.f64 1 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (/.f64 1 b) (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))
▶	30.8b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	1.8b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
	60.6b	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
▶	56.6b	(*.f64 b 1/2)
✓	3.5b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.1b	(log1p.f64 (+.f64 b 1))
	30.2b	(log1p.f64 (exp.f64 b))
✓	29.7b	(log1p.f64 (exp.f64 a))
▶	34.8b	(log1p.f64 b)
✓	32.4b	(log.f64 (+.f64 a 2))
▶	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
✓	31.4b	(log.f64 2)
	16.3b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 280 to 218 computations (22.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.6b	(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)

Compiler

Compiled 50 to 28 computations (44% saved)

series15.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
4.0ms	a	@	inf	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
2.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
1.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
1.0ms	a	@	0	(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`associate-*r/`
928×	`*-commutative`
776×	`associate-/r*`
738×	`associate-*l/`
586×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	249	38
2	2854	38

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))

Outputs

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#<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2) 3) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) (neg.f64 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simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-+r+`
928×	`associate-r`
890×	`associate-/l*`
802×	`associate-l`
774×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	658	11585
1	1766	10857
2	7076	10857

Stop Event

1×	node limit

Counts

251 → 334

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a))
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(.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 b)))
(/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(/.f64 (sqrt.f64 (cbrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (cbrt.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (cbrt.f64 b))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 b)) (cbrt.f64 (cbrt.f64 b))) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (cbrt.f64 b))))
(/.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 (-.f64 -1 (exp.f64 a))))
(/.f64 (cbrt.f64 (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (sqrt.f64 b))))
(/.f64 (neg.f64 (cbrt.f64 b)) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 1 (cbrt.f64 (neg.f64 b))) (cbrt.f64 (-.f64 -1 (exp.f64 a))))
(/.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (sqrt.f64 (cbrt.f64 b))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2) (cbrt.f64 (cbrt.f64 b))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 b)))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 b)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (neg.f64 b))) (cbrt.f64 (-.f64 -1 (exp.f64 a))))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 b))) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) 1/3) (cbrt.f64 (cbrt.f64 b))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 b)) 1) (cbrt.f64 (-.f64 -1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 b)) 1) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 b)) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) 1/3)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (cbrt.f64 b) 1) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(/.f64 (/.f64 (cbrt.f64 b) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))

Outputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) b))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a))
(fma.f64 1/2 b (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1/4) a))
(fma.f64 1/2 b (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) -1/4)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/72 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))))) (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))) (cbrt.f64 1/2)))) (.f64 1/144 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(fma.f64 1/2 b (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1/4) a (.f64 (.f64 a a) (fma.f64 1/72 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (+.f64 (.f64 -1/3 (+.f64 (.f64 b 0) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/48))) (.f64 (.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 (+.f64 (.f64 b 0) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/48)) (cbrt.f64 1/2))) (.f64 1/144 (.f64 (.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))) (cbrt.f64 b)))))))
(fma.f64 1/2 b (fma.f64 (.f64 a a) (fma.f64 1/72 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (fma.f64 -1/3 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) 0) (.f64 (cbrt.f64 1/2) (.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) 0) (cbrt.f64 1/2))) (.f64 (.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) 1/144))) (cbrt.f64 b))))) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) -1/4)) a)))
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(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1/3))
(exp.f64 (*.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(cbrt.f64 (/.f64 b (exp.f64 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))

localize3.0ms (0%)

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 5 to 3 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`associate-r`
704×	`add-sqr-sqrt`
694×	`*-un-lft-identity`
656×	`pow1`
642×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	78	5
2	884	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(log1p.f64 b)

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-r`
1222×	`associate-l`
814×	`distribute-lft-out`
690×	`associate-/r*`
612×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1310
1	323	1102
2	987	1078
3	5207	1078

Stop Event

1×	node limit

Counts

50 → 95

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.8b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series55.0ms (0.3%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

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

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

eval313.0ms (1.9%)

Compiler: Compiled 17747 to 11240 computations (36.7% saved)

prune161.0ms (1%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	764	2	766
Fresh	3	5	8
Picked	0	1	1
Done	3	6	9
Total	770	14	784

Error

Counts

784 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	60.8b	(/.f64 b (+.f64 2 a))
✓	30.8b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	31.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	60.6b	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
✓	56.6b	(*.f64 b 1/2)
✓	3.5b	(log1p.f64 (+.f64 (exp.f64 a) b))
	31.1b	(log1p.f64 (+.f64 b 1))
	30.2b	(log1p.f64 (exp.f64 b))
✓	29.7b	(log1p.f64 (exp.f64 a))
	31.0b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
✓	32.4b	(log.f64 (+.f64 a 2))
✓	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
✓	31.4b	(log.f64 2)
	31.6b	b

Compiler

Compiled 92 to 74 computations (19.6% saved)

regimes49.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
1.1b	1	`a`
1.1b	1	`b`
1.1b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.1b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.1b	1	`(exp.f64 a)`
1.1b	1	`(exp.f64 b)`

Compiler

Compiled 299 to 183 computations (38.8% saved)

regimes69.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	b
21.0ms	a
6.0ms	(exp.f64 b)
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
0.5b	2	`a`
0.5b	2	`b`
0.5b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.5b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.5b	2	`(exp.f64 a)`
0.5b	2	`(exp.f64 b)`

Compiler

Compiled 156 to 104 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.015155277769026225	0.9997967494230414

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes76.0ms (0.5%)

Counts

23 → 3

Calls

Call 1

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

Calls

6 calls:

29.0ms	b
20.0ms	a
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 b)
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
0.9b	2	`a`
0.3b	3	`b`
0.9b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.9b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.9b	2	`(exp.f64 a)`
0.3b	3	`(exp.f64 b)`

Compiler

Compiled 150 to 101 computations (32.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0006216085097204	1.0011460793184155
0.0ms	0.9999999999999983	1.0

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes65.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	b
17.0ms	a
7.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.5b	2	`a`
19.0b	4	`b`
1.5b	2	`(exp.f64 a)`
25.7b	3	`(exp.f64 b)`

Compiler

Compiled 104 to 75 computations (27.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8.333777876566324e-18

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes50.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	b
14.0ms	a

Results

Error	Segments	Branch
2.4b	2	`a`
19.2b	5	`b`

Compiler

Compiled 80 to 59 computations (26.3% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	-1485248932.513877	-39.326214793927576

Results

14.0ms	107×	body	256	valid
9.0ms	19×	body	1024	valid
4.0ms	16×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

regimes41.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

Outputs
b
(log1p.f64 (+.f64 b 1))

Calls

2 calls:

27.0ms	b
12.0ms	a

Results

Error	Segments	Branch
2.5b	2	`a`
19.2b	5	`b`

Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	-1485248932.513877	-39.326214793927576

Results

15.0ms	28×	body	1024	valid
14.0ms	102×	body	256	valid
4.0ms	13×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 112 to 91 computations (18.8% saved)

regimes35.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	b
10.0ms	a

Results

Error	Segments	Branch
2.5b	2	`a`
19.3b	5	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-1485248932.513877	-39.326214793927576

Results

13.0ms	109×	body	256	valid
13.0ms	24×	body	1024	valid
3.0ms	9×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 112 to 91 computations (18.8% saved)

regimes32.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

Outputs
b
(log.f64 2)

Calls

2 calls:

21.0ms	b
9.0ms	a

Results

Error	Segments	Branch
2.8b	2	`a`
19.5b	5	`b`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	-1485248932.513877	-39.326214793927576

Results

14.0ms	111×	body	256	valid
11.0ms	20×	body	1024	valid
3.0ms	13×	body	512	valid

Compiler

Compiled 94 to 82 computations (12.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -29.5b remaining (-93.5%)

Threshold costs -29.5b (-93.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
b

Calls

2 calls:

5.0ms	a
3.0ms	b

Results

Error	Segments	Branch
31.6b	1	`a`
31.6b	1	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
2×	`1-exp`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	215
1	64	215

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 b) 5764607523034235/288230376151711744) b (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 b) 1) b (if (<=.f64 (exp.f64 b) 2254051613498933/2251799813685248) (log1p.f64 (+.f64 (exp.f64 a) b)) b))
(if (<=.f64 (exp.f64 a) 0) b (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -70) b (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -42) b (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -42) b (log.f64 (+.f64 2 b)))
(if (<=.f64 a -44) b (log.f64 2))
b

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 b) 5764607523034235/288230376151711744) b (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 b) 1) b (if (<=.f64 (exp.f64 b) 2254051613498933/2251799813685248) (log1p.f64 (+.f64 (exp.f64 a) b)) b))
(if (<=.f64 (exp.f64 a) 0) b (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -70) b (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -70) b (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -42) b (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -42) b (log.f64 (+.f64 2 b)))
(if (<=.f64 a -42) b (log.f64 (+.f64 b 2)))
(if (<=.f64 a -44) b (log.f64 2))
b

Compiler

Compiled 103 to 72 computations (30.1% saved)

soundness162.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 107 to 46 computations (57% saved)

end78.0ms (0.5%)

Compiler: Compiled 115 to 71 computations (38.3% saved)