Details

analyze186.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.2s (77.7%)

Results

8.8s	7734×	body	8192	exit
1.1s	1971×	body	1024	valid
751.0ms	5076×	body	256	valid
303.0ms	1000×	body	512	valid
168.0ms	209×	body	2048	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

44.1%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	5.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series67.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite68.0ms (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))))))

simplify84.0ms (0.6%)

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))

eval30.0ms (0.2%)

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

prune20.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Error

0.32%

Counts

116 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	0.79%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	47.81%	(log1p.f64 (exp.f64 b))
▶	46.9%	(log1p.f64 (exp.f64 a))
▶	45.71%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
	45.33%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
	47.81%	(log.f64 (+.f64 1 (exp.f64 b)))
▶	47.11%	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 136 to 104 computations (23.5% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.77%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series28.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

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

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (exp.f64 a))

Compiler

Compiled 8 to 4 computations (50% saved)

series37.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
11.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
0.0ms	a	@	0	(log1p.f64 (exp.f64 a))

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 45

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1 (exp.f64 a))
✓	0.2%	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 92

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	4.92%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series29.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
12.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

168 → 246

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(log1p.f64 (exp.f64 a))
	0.01%	(+.f64 1 (exp.f64 a))

Compiler

Compiled 30 to 14 computations (53.3% saved)

eval158.0ms (1.1%)

Compiler: Compiled 9956 to 5747 computations (42.3% saved)

prune84.0ms (0.6%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	516	9	525
Fresh	0	3	3
Picked	0	1	1
Done	0	4	4
Total	516	17	533

Error

0.32%

Counts

533 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.3%	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	1%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	1%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
	40.04%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
	48.25%	(+.f64 (log.f64 2) (/.f64 b (+.f64 1 (exp.f64 a))))
✓	0.79%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	2.85%	(log1p.f64 (+.f64 (exp.f64 a) b))
	47.81%	(log1p.f64 (exp.f64 b))
✓	46.9%	(log1p.f64 (exp.f64 a))
✓	45.71%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
	48.41%	(log.f64 (+.f64 2 b))
▶	50.48%	(log.f64 (+.f64 2 a))
	45.33%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	47.81%	(log.f64 (+.f64 1 (exp.f64 b)))
✓	47.11%	(log.f64 (+.f64 1 (exp.f64 a)))
	98.7%	(log.f64 b)
▶	48.72%	(log.f64 2)

Compiler

Compiled 233 to 183 computations (21.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(log1p.f64 (exp.f64 a))
	0.01%	(+.f64 1 (exp.f64 a))
✓	0.03%	(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
✓	0.78%	(log1p.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 45 to 25 computations (44.4% saved)

series58.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	a	@	-inf	(log1p.f64 (+.f64 1 (exp.f64 a)))
12.0ms	a	@	inf	(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
0.0ms	a	@	inf	(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`add-sqr-sqrt`
1466×	`*-un-lft-identity`
1364×	`add-cube-cbrt`
1350×	`add-cbrt-cube`
1336×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	175	26
2	1859	26

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/l*`
862×	`associate-/r*`
762×	`associate-*r/`
636×	`fma-def`
634×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1375
1	326	1315
2	1204	1237
3	4252	1237

Stop Event

1×	node limit

Counts

75 → 79

Calls

Call 1

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

Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (.f64 1/3 a) (+.f64 (.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 a (*.f64 a 1/9) (log.f64 3)))
(+.f64 (.f64 1/81 (pow.f64 a 3)) (+.f64 (.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 a (*.f64 a 1/9) (log.f64 3))))
(fma.f64 1/3 a (fma.f64 1/81 (pow.f64 a 3) (fma.f64 a (*.f64 a 1/9) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 a (fma.f64 a (*.f64 a 1/2) 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 a 2) (.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 2) (fma.f64 a (*.f64 a 1/2) a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)
(log.f64 (+.f64 2 (exp.f64 a)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))
(log.f64 (+.f64 2 (exp.f64 a)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1))
(log.f64 (+.f64 2 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) 1) (+.f64 (+.f64 2 (exp.f64 a)) 1))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(/.f64 (-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 3) 1) (+.f64 (.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (+.f64 1 (.f64 (+.f64 2 (exp.f64 a)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 3) -1) (fma.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a)) (+.f64 2 (+.f64 (exp.f64 a) 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (fma.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a)) (+.f64 3 (exp.f64 a))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 3 (exp.f64 a)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 (expm1.f64 a) 4))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))

localize3.0ms (0%)

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

localize5.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 1/2 a) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite57.0ms (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 a) (log.f64 2))

Outputs

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 1 (exp.f64 b))
✓	0.8%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series23.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	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))

rewrite59.0ms (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)))))

simplify61.0ms (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))

eval81.0ms (0.6%)

Compiler: Compiled 4644 to 2760 computations (40.6% saved)

prune53.0ms (0.4%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	1	6	7
Picked	0	1	1
Done	1	8	9
Total	309	19	328

Error

0.32%

Counts

328 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	48.33%	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	49.3%	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	1%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	40.04%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
▶	48.25%	(+.f64 (log.f64 2) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	97.41%	(*.f64 1/2 a)
✓	0.79%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	2.85%	(log1p.f64 (+.f64 (exp.f64 a) b))
	47.81%	(log1p.f64 (exp.f64 b))
✓	46.9%	(log1p.f64 (exp.f64 a))
▶	48.24%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
✓	45.71%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	48.41%	(log.f64 (+.f64 2 b))
✓	50.48%	(log.f64 (+.f64 2 a))
	45.33%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
✓	47.81%	(log.f64 (+.f64 1 (exp.f64 b)))
✓	47.11%	(log.f64 (+.f64 1 (exp.f64 a)))
	98.7%	(log.f64 b)
✓	48.72%	(log.f64 2)

Compiler

Compiled 234 to 185 computations (20.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (+.f64 (exp.f64 a) b))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (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	15
1	163	15
2	2070	15

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 77

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.04%	(log.f64 (+.f64 2 b))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1136×	`distribute-lft-in`
1014×	`distribute-rgt-in`
814×	`associate-+r+`
732×	`associate-r`
568×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	699
1	251	609
2	827	609
3	3253	609

Stop Event

1×	node limit

Counts

33 → 61

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/2 (.f64 b b))
✓	0.01%	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
✓	0.04%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	239	59
2	3166	59

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

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

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-+l+`
1132×	`associate-+r+`
954×	`+-commutative`
556×	`associate--r+`
516×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	393	9115
1	1117	8111
2	5121	8111

Stop Event

1×	node limit

Counts

173 → 243

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/12 (pow.f64 b 3))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/12 (pow.f64 b 3) (log.f64 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -16/3 (pow.f64 b 3))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 16/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 (.f64 b b)) (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (.f64 b b)) (-.f64 (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (-.f64 (/.f64 2 b) (/.f64 16/3 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 0)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 0 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (log.f64 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4))) (log.f64 (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) 1)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (log.f64 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4))) (log.f64 (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))) 1)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 1)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 1 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 1)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 3)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3) 1/3)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))
(fabs.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
(log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 1)))
(-.f64 (exp.f64 (log.f64 (+.f64 3 b))) (-.f64 1 (.f64 b (.f64 b 1/2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(-.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (+.f64 2 (.f64 b (.f64 b 1/2)))))
(-.f64 (exp.f64 (log1p.f64 b)) (-.f64 -1 (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) 2) (expm1.f64 (log1p.f64 b)))
(+.f64 1 (fma.f64 1/2 (*.f64 b b) (exp.f64 (log1p.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) (-.f64 1 (+.f64 2 b)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (/.f64 (pow.f64 b 4) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) 1/4)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))
(-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2))))
(+.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (/.f64 (.f64 b b) (-.f64 2 b))) (.f64 1/2 (*.f64 b b)))
(-.f64 (fma.f64 1/2 (.f64 b b) (/.f64 4 (-.f64 2 b))) (.f64 (/.f64 b (-.f64 2 b)) b))
(-.f64 (+.f64 (+.f64 2 b) (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))) 1)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 2 b) 4) (.f64 (.f64 (pow.f64 b 4) (pow.f64 b 4)) 1/16)) (.f64 (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b)))) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 4) (.f64 (pow.f64 b 8) -1/16)) (-.f64 b (fma.f64 1/2 (.f64 b b) -2))) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (.f64 (pow.f64 (pow.f64 b 4) 3) 1/64)) (.f64 (+.f64 2 (-.f64 b (.f64 1/2 (.f64 b b)))) (+.f64 (+.f64 (pow.f64 (+.f64 2 b) 4) (.f64 (.f64 (pow.f64 b 4) (pow.f64 b 4)) 1/16)) (.f64 (pow.f64 b 4) (.f64 1/4 (pow.f64 (+.f64 2 b) 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 6) (.f64 (pow.f64 (pow.f64 b 4) 3) -1/64)) (.f64 (-.f64 b (fma.f64 1/2 (.f64 b b) -2)) (fma.f64 (pow.f64 b 4) (.f64 1/4 (pow.f64 (+.f64 2 b) 2)) (fma.f64 (pow.f64 b 8) 1/16 (pow.f64 (+.f64 2 b) 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 2 b) 6) (pow.f64 (.f64 1/2 (.f64 b b)) 6)) (.f64 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 6) (.f64 (pow.f64 (pow.f64 b 4) 3) -1/64)) (-.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (*.f64 b b) -2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (-.f64 (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (pow.f64 (.f64 1/2 (.f64 b b)) 3) 3)) (.f64 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))) (-.f64 (+.f64 (pow.f64 (+.f64 2 b) 6) (pow.f64 (.f64 1/2 (.f64 b b)) 6)) (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (*.f64 b b)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 3)) (fma.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (-.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (pow.f64 (+.f64 2 b) 3)) (pow.f64 (+.f64 2 b) 6))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) 1) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))
(fabs.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1 (+.f64 2 b) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(+.f64 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2) (+.f64 2 b))
(+.f64 (+.f64 2 b) (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2))
(+.f64 2 (+.f64 b (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 2 b))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 1/2 (*.f64 b b))) (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(.f64 1/2 (.f64 b b))
(pow.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) 1/3)
(.f64 1/2 (.f64 b b))
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 b 1/2)) b))
(.f64 1/2 (.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(.f64 1/2 (.f64 b b))
(cbrt.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3))
(.f64 1/2 (.f64 b b))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(+.f64 1 (exp.f64 a))

Compiler

Compiled 29 to 18 computations (37.9% saved)

eval176.0ms (1.2%)

Compiler: Compiled 9604 to 6850 computations (28.7% saved)

prune72.0ms (0.5%)

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	427	5	432
Fresh	0	5	5
Picked	0	1	1
Done	3	10	13
Total	430	21	451

Error

0.32%

Counts

451 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	48.33%	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	49.3%	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	1%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	40.04%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
✓	48.25%	(+.f64 (log.f64 2) (/.f64 b (+.f64 1 (exp.f64 a))))
✓	97.41%	(*.f64 1/2 a)
✓	0.79%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓	2.85%	(log1p.f64 (+.f64 (exp.f64 a) b))
	48.23%	(log1p.f64 (+.f64 b (+.f64 (.f64 1/2 (.f64 b b)) 1)))
	48.41%	(log1p.f64 (+.f64 b 1))
	47.81%	(log1p.f64 (exp.f64 b))
✓	46.9%	(log1p.f64 (exp.f64 a))
	48.23%	(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
✓	45.71%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
	48.23%	(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	50.48%	(log.f64 (+.f64 2 a))
	45.33%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
✓	47.11%	(log.f64 (+.f64 1 (exp.f64 a)))
	98.35%	(log.f64 (.f64 1/2 (.f64 b b)))
	98.7%	(log.f64 b)
✓	48.72%	(log.f64 2)

Compiler

Compiled 185 to 144 computations (22.2% saved)

regimes45.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	a
12.0ms	b
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.79%	1	`a`
0.79%	1	`b`
0.79%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.79%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.79%	1	`(exp.f64 a)`
0.79%	1	`(exp.f64 b)`

Compiler

Compiled 218 to 134 computations (38.5% saved)

regimes55.0ms (0.4%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	b
11.0ms	a
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
2.85%	1	`a`
1.24%	2	`b`
1.26%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.26%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.85%	1	`(exp.f64 a)`
1.24%	2	`(exp.f64 b)`

Compiler

Compiled 181 to 116 computations (35.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000001152658	1.0000000303878918

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes31.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	a
10.0ms	b
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.85%	1	`a`
2.85%	1	`b`
2.85%	1	`(exp.f64 a)`
2.85%	1	`(exp.f64 b)`

Compiler

Compiled 160 to 103 computations (35.6% saved)

regimes43.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

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

Calls

4 calls:

26.0ms	b
9.0ms	a
2.0ms	(exp.f64 b)
2.0ms	(exp.f64 a)

Results

Error	Segments	Branch
46.9%	1	`a`
45.25%	3	`b`
46.9%	1	`(exp.f64 a)`
46.9%	1	`(exp.f64 b)`

Compiler

Compiled 119 to 81 computations (31.9% saved)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	68.83508676173552	30859.30527595423
21.0ms	1.0772647773848722e-141	2.5195902679829632e-141

Results

19.0ms	170×	body	256	valid
15.0ms	38×	body	1024	valid

Compiler

Compiled 193 to 164 computations (15% saved)

regimes22.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	b
7.0ms	a
2.0ms	(exp.f64 a)

Results

Error	Segments	Branch
46.9%	1	`a`
46.9%	1	`b`
46.9%	1	`(exp.f64 a)`

Compiler

Compiled 102 to 70 computations (31.4% saved)

regimes18.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
7.0ms	b

Results

Error	Segments	Branch
48.23%	1	`a`
48.23%	1	`b`

Compiler

Compiled 95 to 65 computations (31.6% saved)

regimes14.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
6.0ms	b

Results

Error	Segments	Branch
48.33%	1	`a`
48.33%	1	`b`

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes12.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
5.0ms	b

Results

Error	Segments	Branch
48.41%	1	`a`
48.41%	1	`b`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
4.0ms	b

Results

Error	Segments	Branch
48.41%	1	`a`
48.41%	1	`b`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -32.4b remaining (-104%)

Threshold costs -32.4b (-104%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log.f64 2)

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
48.72%	1	`a`
48.72%	1	`b`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	223
1	57	223

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 b) 4503599717442489/4503599627370496) (log1p.f64 (+.f64 (exp.f64 a) b)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(if (<=.f64 b 6521557777124079/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (log1p.f64 (exp.f64 a)) (if (<=.f64 b 720) (log1p.f64 (exp.f64 b)) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 2 b))
(log.f64 2)
(*.f64 1/2 a)

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 b) 4503599717442489/4503599627370496) (log1p.f64 (+.f64 (exp.f64 a) b)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(if (<=.f64 b 6521557777124079/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (log1p.f64 (exp.f64 a)) (if (<=.f64 b 720) (log1p.f64 (exp.f64 b)) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 b 6521557777124079/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (log1p.f64 (exp.f64 a)) (if (<=.f64 b 720) (log1p.f64 (exp.f64 b)) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(log.f64 2)
(*.f64 1/2 a)
(*.f64 a 1/2)

Compiler

Compiled 101 to 77 computations (23.8% saved)

soundness91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 77 to 27 computations (64.9% saved)

end70.0ms (0.5%)

Compiler: Compiled 97 to 61 computations (37.1% saved)

Details

analyze186.0ms (1.3%)

sample11.2s (77.7%)

preprocess16.0ms (0.1%)

simplify11.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series67.0ms (0.5%)

rewrite68.0ms (0.5%)

simplify84.0ms (0.6%)

eval30.0ms (0.2%)

prune20.0ms (0.1%)

localize8.0ms (0.1%)

series28.0ms (0.2%)

rewrite56.0ms (0.4%)

simplify55.0ms (0.4%)

localize4.0ms (0%)

series37.0ms (0.3%)

rewrite49.0ms (0.3%)

simplify63.0ms (0.4%)

localize7.0ms (0%)

series0.0ms (0%)

rewrite55.0ms (0.4%)

simplify62.0ms (0.4%)

localize9.0ms (0.1%)

series29.0ms (0.2%)

rewrite91.0ms (0.6%)

simplify100.0ms (0.7%)

localize11.0ms (0.1%)

eval158.0ms (1.1%)

prune84.0ms (0.6%)

localize22.0ms (0.2%)

series58.0ms (0.4%)

rewrite59.0ms (0.4%)

simplify62.0ms (0.4%)

localize3.0ms (0%)

localize5.0ms (0%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite57.0ms (0.4%)

simplify64.0ms (0.4%)

localize7.0ms (0%)

series23.0ms (0.2%)

rewrite59.0ms (0.4%)

simplify61.0ms (0.4%)

eval81.0ms (0.6%)

prune53.0ms (0.4%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.4%)

simplify62.0ms (0.4%)

localize3.0ms (0%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite50.0ms (0.4%)

simplify49.0ms (0.3%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite87.0ms (0.6%)

simplify120.0ms (0.8%)

localize13.0ms (0.1%)

eval176.0ms (1.2%)

prune72.0ms (0.5%)

regimes45.0ms (0.3%)

regimes55.0ms (0.4%)

bsearch0.0ms (0%)

regimes31.0ms (0.2%)

regimes43.0ms (0.3%)

bsearch36.0ms (0.3%)

regimes22.0ms (0.1%)

regimes18.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

simplify8.0ms (0.1%)

soundness91.0ms (0.6%)

end70.0ms (0.5%)

Profiling