Details

analyze187.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample10.9s (59.1%)

Results

8.5s	7682×	body	8192	exit
1.2s	1994×	body	1024	valid
737.0ms	5082×	body	256	valid
293.0ms	976×	body	512	valid
148.0ms	204×	body	2048	valid

Bogosity

preprocess45.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	5.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series106.0ms (0.6%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
15.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

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

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

eval48.0ms (0.3%)

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

prune22.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Error

0.4b

Counts

116 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	29.2b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	2.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	30.2b	(log1p.f64 (exp.f64 b))
▶	30.0b	(log1p.f64 (exp.f64 a))
	29.4b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	28.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	29.3b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	30.2b	(log.f64 (+.f64 1 (exp.f64 b)))
	29.0b	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 172 to 132 computations (23.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series44.0ms (0.2%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	a	@	-inf	(/.f64 b (+.f64 1 (exp.f64 a)))
11.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	229	48
2	3055	48

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

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

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

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-/r/`
1054×	`associate-+r+`
832×	`associate-+l+`
790×	`+-commutative`
536×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	415	9413
1	1171	8983
2	5197	8983

Stop Event

1×	node limit

Counts

169 → 231

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.7b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series67.0ms (0.4%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	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))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))
✓	0.0b	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	3.3b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series87.0ms (0.5%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
67.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
16.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	a	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-*r/`
1380×	`associate-*l/`
602×	`associate-+l+`
382×	`associate-+r+`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	299	100
2	4054	100

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

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

simplify187.0ms (1%)

Algorithm

1×	egg-herbie

Rules

896×	`associate-+r-`
760×	`associate-r`
718×	`fma-def`
670×	`+-commutative`
642×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	689	17011
1	1848	16167
2	7805	16167

Stop Event

1×	node limit

Counts

319 → 416

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
✓	0.2b	(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
✓	5.3b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series91.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	b	@	-inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
18.0ms	a	@	-inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
12.0ms	a	@	inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
12.0ms	b	@	inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
2.0ms	a	@	0	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1804×	`add-cube-cbrt`
1784×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	196	57
2	2450	57

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1810×	`distribute-lft-in`
1776×	`distribute-rgt-in`
638×	`+-commutative`
494×	`associate-+r+`
390×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	5557
1	783	5319
2	3043	5295

Stop Event

1×	node limit

Counts

161 → 175

Calls

Call 1

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

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

eval374.0ms (2%)

Compiler: Compiled 23713 to 14024 computations (40.9% saved)

prune184.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	901	12	913
Fresh	3	1	4
Picked	1	0	1
Done	4	1	5
Total	909	14	923

Error

0.4b

Counts

923 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.9b	(/.f64 b (+.f64 1 (exp.f64 a)))
	29.6b	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)
	30.9b	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	30.5b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
	30.4b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	1.0b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1))
	26.9b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	30.7b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
▶	30.2b	(log1p.f64 (exp.f64 b))
✓	30.0b	(log1p.f64 (exp.f64 a))
	30.6b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	30.7b	(log.f64 (+.f64 2 b))
▶	31.0b	(log.f64 2)
▶	2.2b	(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 285 to 222 computations (22.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 22 computations (46.3% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

18 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`associate-*l/`
1180×	`associate-/r*`
780×	`associate-/l*`
508×	`associate-/r/`
304×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	274	65
2	3526	65

Stop Event

1×	node limit

Counts

3 → 290

Calls

Call 1

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

Outputs

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-/l*`
936×	`associate-r`
776×	`*-commutative`
688×	`associate-l`
682×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	774	17904
1	2114	17686

Stop Event

1×	node limit

Counts

342 → 484

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series15.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.0b	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	0.0b	(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series37.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	a	@	inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
15.0ms	a	@	-inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	0	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite138.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify178.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

268 → 225

Calls

Call 1

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

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

eval357.0ms (1.9%)

Compiler: Compiled 24334 to 13828 computations (43.2% saved)

prune183.0ms (1%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	932	8	940
Fresh	0	8	8
Picked	1	0	1
Done	1	4	5
Total	934	20	954

Error

0.4b

Counts

954 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.9b	(/.f64 b (+.f64 1 (exp.f64 a)))
	29.6b	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)
	30.9b	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	30.5b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
	60.6b	(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
▶	30.4b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	25.5b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 2 b) -1))
	28.8b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) -1))
	26.9b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))) -1))
▶	26.9b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	60.6b	(.f64 b (+.f64 1/2 (.f64 -1/4 a)))
▶	30.7b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
▶	56.5b	(*.f64 1/2 b)
✓	30.2b	(log1p.f64 (exp.f64 b))
✓	30.0b	(log1p.f64 (exp.f64 a))
	30.6b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	30.7b	(log.f64 (+.f64 2 b))
✓	31.0b	(log.f64 2)
▶	2.8b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
	31.1b	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))

Compiler

Compiled 404 to 316 computations (21.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	0.0b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
✓	0.3b	(cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
✓	0.3b	(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)

Compiler

Compiled 83 to 43 computations (48.2% saved)

series68.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
9.0ms	a	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
9.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
6.0ms	b	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
5.0ms	b	@	-inf	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`associate-*r/`
1412×	`associate-*l/`
932×	`associate-/r*`
296×	`add-sqr-sqrt`
284×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	333	105
2	3795	105

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)

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

(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))

Outputs

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

simplify334.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate-+r+`
1044×	`distribute-lft-in`
1040×	`distribute-rgt-in`
1032×	`+-commutative`
752×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	942	63263
1	3131	63021

Stop Event

1×	node limit

Counts

207 → 312

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9))) (.f64 1/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9)))) b))
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(.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))) (pow.f64 1 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))) 4) 1) 1/9) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b))) (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))) (pow.f64 1 1/3)) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))) 4) 1) 1/9) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 -1 (-.f64 -1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))

Outputs
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)))
(log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9))) (.f64 1/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9)))) b))
(+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (.f64 (.f64 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a))))) (*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4) 1/18))) 1) b))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))) (.f64 (pow.f64 (.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))) (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9))))))) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9))) (.f64 1/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (*.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9)))) b)))
(fma.f64 (fma.f64 2/9 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18))) (fma.f64 (cbrt.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) (fma.f64 -2/3 (.f64 (fma.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18))) (/.f64 1/2 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2)))) (cbrt.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))))) (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4)) 1/18))))) (.f64 -1/3 (fma.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18))) (/.f64 1/2 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))))))) (.f64 b b) (+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (.f64 (.f64 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a))))) (*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4) 1/18))) 1) b)))
(fma.f64 (+.f64 (.f64 (/.f64 2/9 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18))) (fma.f64 (cbrt.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) (fma.f64 -2/3 (.f64 (+.f64 (.f64 (/.f64 1/3 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18))) (/.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))))) (.f64 (/.f64 1/9 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4)) 1/18)))) (.f64 -1/3 (+.f64 (.f64 (/.f64 1/3 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))) 1/18))) (/.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2)))))) (.f64 b b) (+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (.f64 (.f64 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a))))) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 4) 1/18))) 1) b)))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))) (.f64 (pow.f64 (.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))) (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9))))))) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9))) (.f64 1/3 (.f64 (/.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 4)) 1/9)))) b) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/3) (+.f64 (.f64 -2/9 (.f64 (/.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))) (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) 8)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/3) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)))) (+.f64 (.f64 -2/3 (.f64 (/.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))) (pow.f64 (/.f64 1 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) 1/9))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))) (.f64 (+.f64 1 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(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 -1 (-.f64 -1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 b) 1)
✓	1.7b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series111.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
98.0ms	b	@	inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
12.0ms	b	@	-inf	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
1.0ms	b	@	0	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
0.0ms	b	@	0	(+.f64 (exp.f64 b) 1)
0.0ms	b	@	inf	(+.f64 (exp.f64 b) 1)

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1448×	`add-cube-cbrt`
1434×	`add-cbrt-cube`
1420×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	173	26
2	2040	26

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-/l*`
826×	`associate-/r*`
782×	`fma-def`
682×	`unswap-sqr`
598×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1982
1	423	1706
2	1805	1466
3	5426	1466

Stop Event

1×	node limit

Counts

80 → 96

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 b (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 b (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 b 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 b (pow.f64 (sqrt.f64 2) 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 b 3))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 b 2))))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
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 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 b))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4)) (log.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4)))
(-.f64 (+.f64 1 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 1)
(.f64 1 (.f64 1/2 (log1p.f64 (exp.f64 b))))
(.f64 (.f64 1/2 (log1p.f64 (exp.f64 b))) 1)
(.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(*.f64 1 (+.f64 (exp.f64 b) 1))
(*.f64 (+.f64 (exp.f64 b) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))
(.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4) (.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))
(.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)))
(*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (/.f64 1 (expm1.f64 b)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (+.f64 (exp.f64 b) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 b) 1) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(/.f64 1 (/.f64 (expm1.f64 b) (fma.f64 (exp.f64 b) (exp.f64 b) -1)))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1)) (neg.f64 (expm1.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b)))))
(pow.f64 (+.f64 (exp.f64 b) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))
(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 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 b (pow.f64 (sqrt.f64 2) 2))))
(fma.f64 1/2 (/.f64 b 2) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/4 b))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 b (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 b 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 b (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (*.f64 b b)))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/2 (/.f64 b 2) (.f64 (.f64 b b) 1/16)))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 (.f64 b 1/16) b (.f64 1/4 b)))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 (.f64 b b) 1/16 (.f64 1/4 b)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 b (pow.f64 (sqrt.f64 2) 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 b 3))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 b 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/2 (/.f64 b (pow.f64 (sqrt.f64 2) 2)) (fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 b 3)) (.f64 1/2 (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 b b))))))
(+.f64 (fma.f64 1/2 (/.f64 b 2) (log.f64 (sqrt.f64 2))) (fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (pow.f64 b 3)) (.f64 (*.f64 b b) 1/16)))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 (.f64 b b) 1/16 (fma.f64 (pow.f64 b 3) 0 (.f64 1/4 b))))
(+.f64 (fma.f64 (pow.f64 b 3) 0 (.f64 1/4 b)) (fma.f64 (.f64 b b) 1/16 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
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 (fma.f64 b (*.f64 1/2 b) b))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.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 2 (+.f64 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 b (*.f64 1/2 b) b)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) (log.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (log.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4)) (log.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(-.f64 (+.f64 1 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 1)
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(.f64 1 (.f64 1/2 (log1p.f64 (exp.f64 b))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(.f64 (.f64 1/2 (log1p.f64 (exp.f64 b))) 1)
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 2))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 1)
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 2)
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))) 3)
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 3) 1/3)
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 2))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) 3))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 b)))) 1))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b)))))
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (log1p.f64 (exp.f64 b)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 -1 (expm1.f64 b)))
(/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) -1) (expm1.f64 b))
(*.f64 1 (+.f64 (exp.f64 b) 1))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 (exp.f64 b) 1) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4) (.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))
(.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (/.f64 1 (expm1.f64 b)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 -1 (expm1.f64 b)))
(/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) -1) (expm1.f64 b))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 b) 2)) (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 b) 3)) (-.f64 (expm1.f64 b) (pow.f64 (exp.f64 b) 2)))
(.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (+.f64 (exp.f64 b) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 b) 1) 1/4))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))
(.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))
(/.f64 1 (/.f64 (expm1.f64 b) (fma.f64 (exp.f64 b) (exp.f64 b) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 -1 (expm1.f64 b)))
(/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) -1) (expm1.f64 b))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 b) 2)) (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 b) 3)) (-.f64 (expm1.f64 b) (pow.f64 (exp.f64 b) 2)))
(/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 -1 (expm1.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) -1) (expm1.f64 b))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 b) 2)) (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 b) 3)) (-.f64 (expm1.f64 b) (pow.f64 (exp.f64 b) 2)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 b) 2)) (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 b) 3)) (-.f64 (expm1.f64 b) (pow.f64 (exp.f64 b) 2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 -1 (expm1.f64 b)))
(/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) -1) (expm1.f64 b))
(/.f64 (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1)) (neg.f64 (expm1.f64 b)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 -1 (expm1.f64 b)))
(/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) -1) (expm1.f64 b))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 1 (exp.f64 b)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 b) 2)) (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 b) 3)) (-.f64 (expm1.f64 b) (pow.f64 (exp.f64 b) 2)))
(pow.f64 (+.f64 (exp.f64 b) 1) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2) 1/2)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
✓	0.1b	(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
✓	3.3b	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series49.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	b	@	0	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
10.0ms	b	@	-inf	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
10.0ms	a	@	inf	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
6.0ms	b	@	inf	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 254

Calls

Call 1

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

Outputs

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

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simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	696	20452
1	1935	19830

Stop Event

1×	node limit

Counts

326 → 431

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 2)))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))
(.f64 (+.f64 (.f64 a -1/2) 1) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (.f64 1/24 (.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (fma.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))) (.f64 1/24 (*.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (pow.f64 a 3)))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (.f64 a -1/2) (*.f64 1/24 (pow.f64 a 3)))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (.f64 -1/240 (.f64 (pow.f64 a 5) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (fma.f64 -1/2 (.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))) (fma.f64 1/24 (.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (pow.f64 a 3)) (.f64 (.f64 -1/240 (pow.f64 a 5)) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))))))
(+.f64 (.f64 (+.f64 (.f64 a -1/2) 1) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))) (.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (.f64 1/24 (pow.f64 a 3)) (*.f64 -1/240 (pow.f64 a 5)))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 3)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 6) (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 6) (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 3)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 6) (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (pow.f64 (log1p.f64 (exp.f64 a)) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))

eval1.3s (7%)

Compiler: Compiled 73890 to 51777 computations (29.9% saved)

prune188.0ms (1%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	945	6	951
Fresh	2	9	11
Picked	1	0	1
Done	1	7	8
Total	949	22	971

Error

0.4b

Counts

971 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.9b	(/.f64 b (+.f64 1 (exp.f64 a)))
	31.1b	(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
	30.9b	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	30.5b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
	60.6b	(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
✓	30.4b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	25.5b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 2 b) -1))
	28.8b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) -1))
	39.0b	(+.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
	60.6b	(.f64 b (+.f64 1/2 (.f64 -1/4 a)))
✓	30.7b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
✓	56.5b	(*.f64 1/2 b)
✓	30.2b	(log1p.f64 (exp.f64 b))
✓	30.0b	(log1p.f64 (exp.f64 a))
	30.6b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	30.7b	(log.f64 (+.f64 2 b))
✓	31.0b	(log.f64 2)
	63.7b	(expm1.f64 (pow.f64 (fma.f64 1/3 (.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a)))) b) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (neg.f64 (log1p.f64 (exp.f64 a)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (neg.f64 (log1p.f64 (exp.f64 a)))) 2)) 1/18))) (cbrt.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (neg.f64 (log1p.f64 (exp.f64 a)))))) 3))
	63.7b	(expm1.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))) 2)) 1/9) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b))) (pow.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b)))) 1/3)) 3))
	3.0b	(expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)) 3))
	31.6b	(expm1.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) 3))
	31.1b	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))

Compiler

Compiled 329 to 258 computations (21.6% saved)

regimes62.0ms (0.3%)

Counts

36 → 1

Calls

Call 1

Inputs
(*.f64 1/2 b)
(.f64 b (+.f64 1/2 (.f64 -1/4 a)))
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(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 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 2 b) -1))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) -1))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))) -1))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
(expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)) 3))
(expm1.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))) 2)) 1/9) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b))) (pow.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b)))) 1/3)) 3))
(expm1.f64 (pow.f64 (fma.f64 1/3 (.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a)))) b) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (neg.f64 (log1p.f64 (exp.f64 a)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (neg.f64 (log1p.f64 (exp.f64 a)))) 2)) 1/18))) (cbrt.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (neg.f64 (log1p.f64 (exp.f64 a)))))) 3))

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

Calls

6 calls:

17.0ms	b
16.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

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

Compiler

Compiled 457 to 292 computations (36.1% saved)

regimes60.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
0.5b	2	`a`
0.8b	2	`b`
0.8b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.8b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.5b	2	`(exp.f64 a)`
0.8b	2	`(exp.f64 b)`

Compiler

Compiled 174 to 120 computations (31% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.4304110962726406e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes84.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

6 calls:

45.0ms	b
17.0ms	a
5.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.6b	2	`a`
16.5b	6	`b`
0.8b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.8b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.6b	2	`(exp.f64 a)`
27.7b	3	`(exp.f64 b)`

Compiler

Compiled 141 to 97 computations (31.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.4304110962726406e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes71.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	b
16.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.9b	2	`a`
16.7b	6	`b`
0.9b	2	`(exp.f64 a)`
28.1b	2	`(exp.f64 b)`

Compiler

Compiled 120 to 84 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.4304110962726406e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes68.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	b
15.0ms	a
4.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.0b	2	`a`
16.7b	6	`b`
1.0b	2	`(exp.f64 a)`
28.2b	2	`(exp.f64 b)`

Compiler

Compiled 107 to 77 computations (28% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.4304110962726406e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes62.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	b
14.0ms	a
4.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.1b	2	`a`
16.7b	6	`b`
1.1b	2	`(exp.f64 a)`
28.8b	2	`(exp.f64 b)`

Compiler

Compiled 88 to 63 computations (28.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.4304110962726406e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes50.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	b
11.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
17.1b	6	`b`
1.3b	2	`(exp.f64 a)`

Compiler

Compiled 76 to 55 computations (27.6% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	-2782120244708.543	-12.123495718546659

Results

21.0ms	83×	body	512	valid
11.0ms	63×	body	256	valid
7.0ms	12×	body	1024	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 163 to 130 computations (20.2% saved)

regimes49.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	b
11.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.4b	2	`a`
17.5b	6	`b`
1.4b	2	`(exp.f64 a)`

Compiler

Compiled 73 to 54 computations (26% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.4304110962726406e-6	0.9924796246519527

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes44.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	b
10.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.5b	2	`a`
17.5b	6	`b`
1.5b	2	`(exp.f64 a)`

Compiler

Compiled 59 to 43 computations (27.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.4304110962726406e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes42.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	b
9.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.5b	2	`a`
17.6b	6	`b`
1.5b	2	`(exp.f64 a)`

Compiler

Compiled 49 to 36 computations (26.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.4304110962726406e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes16.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
5.0ms	b

Results

Error	Segments	Branch
26.1b	2	`a`
30.4b	1	`b`

Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-2782120244708.543	-12.123495718546659

Results

16.0ms	124×	body	256	valid
8.0ms	15×	body	1024	valid
6.0ms	20×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 163 to 140 computations (14.1% saved)

regimes14.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.2b	2	`a`
30.7b	1	`b`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	-2782120244708.543	-12.123495718546659

Results

22.0ms	87×	body	512	valid
11.0ms	16×	body	1024	valid
7.0ms	56×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 143 to 120 computations (16.1% saved)

regimes13.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.5b	2	`a`
31.0b	1	`b`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch41.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	-2782120244708.543	-12.123495718546659

Results

23.0ms	121×	body	256	valid
9.0ms	16×	body	1024	valid
6.0ms	22×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 123 to 110 computations (10.6% saved)

regimes8.0ms (0%)

Accuracy

Total -4.1b remaining (-7.3%)

Threshold costs -4.1b (-7.3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 b)

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
56.5b	1	`a`
56.5b	1	`b`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
14×	`*-commutative`
4×	`distribute-lft-neg-in`
4×	`sub-neg`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	588
1	92	588
2	101	588
3	105	588
4	108	588
5	109	588

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -290) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 5902958103587057/590295810358705651712) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -100) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -145) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -98) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -290) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -290) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 5902958103587057/590295810358705651712) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5902958103587057/590295810358705651712) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (.f64 a (+.f64 1/2 (.f64 -1/4 b))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5902958103587057/590295810358705651712) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (.f64 a (-.f64 1/2 (.f64 b 1/4))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (.f64 1/2 (.f64 b b)) (+.f64 b 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -100) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -100) (.f64 b 1/2) (+.f64 (.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -145) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -145) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -98) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -98) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)

Compiler

Compiled 240 to 168 computations (30% saved)

soundness169.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 101 to 42 computations (58.4% saved)

end115.0ms (0.6%)

Compiler: Compiled 252 to 154 computations (38.9% saved)