Details

analyze868.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	50%	0.1%	7
50%	50%	0.1%	8
50%	50%	0.1%	9
50%	50%	0.1%	10
50%	50%	0.1%	11
50%	50%	0.1%	12
50%	50%	0.1%	13
50%	50%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample12.6s (81%)

Results

9.8s	8003×	body	8192	exit
1.4s	1979×	body	1024	valid
592.0ms	4610×	body	128	valid
422.0ms	1010×	body	512	valid
199.0ms	190×	body	2048	valid
132.0ms	467×	body	256	valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1×	`swap-a-b`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	9	20
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 8 to 6 computations (25% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10

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)))

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	29.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	3.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series88.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
666×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	138	18
2	1818	18

Stop Event

1×	node limit

Counts

2 → 57

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

Outputs

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

((#(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 (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 (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 (+.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 (-.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 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 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 (+.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 a) 2) (pow.f64 (exp.f64 b) 2)) (-.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 /.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 (-.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 pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(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 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(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 (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 1) (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 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 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 (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))))) (#(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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-neg_binary64`
396×	`associate-+l+_binary64`
328×	`fma-def_binary64`
238×	`times-frac_binary64`
220×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	746
1	248	742
2	902	714
3	4283	710

Stop Event

1×	node limit

Counts

105 → 89

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

prune76.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

0.6b

Counts

90 → 5

Alt Table

Status	Error	Program
	30.6b	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	29.9b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
	30.3b	(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 1530 to 781 computations (49% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
✓	0.0b	(/.f64 1/2 (+.f64 1 (exp.f64 a)))
✓	0.0b	(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))

series64.0ms (0.4%)

Counts

4 → 44

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
19.0ms	a	@	-inf	(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
16.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
2.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
1.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

188×	`add-sqr-sqrt_binary64`
182×	`*-un-lft-identity_binary64`
182×	`pow1_binary64`
176×	`add-log-exp_binary64`
175×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	365	72

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
383×	`times-frac_binary64`
364×	`fma-def_binary64`
353×	`associate-+l+_binary64`
265×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1293
1	278	1280
2	889	1128
3	3744	1127

Stop Event

1×	node limit

Counts

158 → 154

Calls

Call 1

Inputs
1/4
(+.f64 1/4 (*.f64 1/8 a))
(-.f64 (+.f64 1/4 (.f64 1/8 a)) (.f64 1/96 (pow.f64 a 3)))
(-.f64 (+.f64 1/4 (+.f64 (.f64 1/8 a) (.f64 1/960 (pow.f64 a 5)))) (*.f64 1/96 (pow.f64 a 3)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
1/4
(-.f64 1/4 (*.f64 1/8 a))
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (.f64 1/8 a))
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (+.f64 (.f64 1/8 a) (*.f64 1/960 (pow.f64 a 5))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 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 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 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 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 1/2 b)
(-.f64 (.f64 1/2 b) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b)) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b)) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/480 (*.f64 (pow.f64 a 5) b))))

Outputs
1/4
(+.f64 1/4 (*.f64 1/8 a))
(fma.f64 1/8 a 1/4)
(-.f64 (+.f64 1/4 (.f64 1/8 a)) (.f64 1/96 (pow.f64 a 3)))
(+.f64 (+.f64 1/4 (.f64 1/8 a)) (.f64 -1/96 (pow.f64 a 3)))
(+.f64 1/4 (fma.f64 1/8 a (*.f64 (pow.f64 a 3) -1/96)))
(fma.f64 (pow.f64 a 3) -1/96 (fma.f64 1/8 a 1/4))
(-.f64 (+.f64 1/4 (+.f64 (.f64 1/8 a) (.f64 1/960 (pow.f64 a 5)))) (*.f64 1/96 (pow.f64 a 3)))
(+.f64 1/4 (-.f64 (fma.f64 1/8 a (.f64 1/960 (pow.f64 a 5))) (.f64 1/96 (pow.f64 a 3))))
(+.f64 1/4 (+.f64 (.f64 1/960 (pow.f64 a 5)) (fma.f64 1/8 a (.f64 (pow.f64 a 3) -1/96))))
(fma.f64 (pow.f64 a 3) -1/96 (fma.f64 1/8 a (fma.f64 1/960 (pow.f64 a 5) 1/4)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
1/4
(-.f64 1/4 (*.f64 1/8 a))
(+.f64 1/4 (*.f64 -1/8 a))
(fma.f64 a -1/8 1/4)
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (.f64 1/8 a))
(+.f64 (fma.f64 1/96 (pow.f64 a 3) 1/4) (*.f64 -1/8 a))
(fma.f64 1/96 (pow.f64 a 3) (-.f64 1/4 (*.f64 1/8 a)))
(fma.f64 1/96 (pow.f64 a 3) (fma.f64 a -1/8 1/4))
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (+.f64 (.f64 1/8 a) (*.f64 1/960 (pow.f64 a 5))))
(-.f64 (fma.f64 1/96 (pow.f64 a 3) 1/4) (fma.f64 1/8 a (*.f64 1/960 (pow.f64 a 5))))
(fma.f64 1/96 (pow.f64 a 3) (+.f64 (fma.f64 a -1/8 1/4) (*.f64 (pow.f64 a 5) -1/960)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 1/2 b)))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)))
(fma.f64 1/8 (*.f64 b b) (fma.f64 1/2 b (log.f64 2)))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)))) (.f64 -1/4 (.f64 a b)))
(fma.f64 a 1/2 (+.f64 (+.f64 (log.f64 2) (.f64 1/8 (.f64 b b))) (.f64 b (-.f64 1/2 (.f64 1/4 a)))))
(fma.f64 (.f64 a b) -1/4 (fma.f64 a 1/2 (fma.f64 1/8 (.f64 b b) (fma.f64 1/2 b (log.f64 2)))))
(+.f64 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2))) (.f64 b (fma.f64 1/8 b (.f64 a -1/4))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b))))) (fma.f64 1/4 (.f64 a b) (.f64 1/32 (.f64 (.f64 b b) (.f64 a a)))))
(fma.f64 1/8 (.f64 a a) (-.f64 (+.f64 (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)) (fma.f64 a 1/2 (log.f64 2))) (fma.f64 1/4 (.f64 a b) (.f64 1/32 (.f64 (.f64 a b) (.f64 a b))))))
(fma.f64 1/8 (.f64 a a) (-.f64 (fma.f64 a 1/2 (fma.f64 1/8 (.f64 b b) (fma.f64 1/2 b (log.f64 2)))) (.f64 b (+.f64 (.f64 1/4 a) (.f64 (.f64 a a) (*.f64 1/32 b))))))
(+.f64 (fma.f64 a 1/2 (fma.f64 1/8 (.f64 b b) (fma.f64 1/2 b (log.f64 2)))) (fma.f64 a (-.f64 (.f64 1/8 a) (.f64 1/4 b)) (.f64 (.f64 b b) (.f64 (*.f64 a a) -1/32))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/48 (.f64 (pow.f64 a 3) b) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)))))) (fma.f64 1/4 (.f64 a b) (.f64 1/32 (.f64 (.f64 b b) (*.f64 a a)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (fma.f64 1/48 (.f64 (pow.f64 a 3) b) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b))) (fma.f64 a 1/2 (log.f64 2)))) (fma.f64 1/4 (.f64 a b) (.f64 1/32 (.f64 (.f64 a b) (*.f64 a b)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 a 1/2 (fma.f64 b (fma.f64 (pow.f64 a 3) 1/48 1/2) (fma.f64 1/8 (.f64 b b) (log.f64 2))))) (.f64 b (+.f64 (.f64 1/4 a) (.f64 (.f64 a a) (*.f64 1/32 b)))))
(+.f64 (fma.f64 b (fma.f64 (pow.f64 a 3) 1/48 1/2) (fma.f64 1/8 (.f64 b b) (log.f64 2))) (fma.f64 a (+.f64 1/2 (.f64 1/8 a)) (fma.f64 (.f64 b b) (.f64 (.f64 a a) -1/32) (.f64 a (*.f64 b -1/4)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (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 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(.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 b b) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(.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 b b) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))
(*.f64 1/2 b)
(-.f64 (.f64 1/2 b) (.f64 1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(.f64 b (-.f64 1/2 (.f64 1/4 a)))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b)) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/48 (.f64 (pow.f64 a 3) b) (.f64 1/2 b)) (.f64 -1/4 (.f64 a b)))
(fma.f64 1/48 (.f64 (pow.f64 a 3) b) (.f64 b (-.f64 1/2 (*.f64 1/4 a))))
(.f64 b (-.f64 (fma.f64 (pow.f64 a 3) 1/48 1/2) (.f64 1/4 a)))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b)) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/480 (*.f64 (pow.f64 a 5) b))))
(-.f64 (fma.f64 1/48 (.f64 (pow.f64 a 3) b) (.f64 1/2 b)) (fma.f64 1/4 (.f64 a b) (.f64 1/480 (*.f64 (pow.f64 a 5) b))))
(-.f64 (.f64 b (+.f64 1/2 (.f64 (pow.f64 a 3) 1/48))) (.f64 b (+.f64 (.f64 1/4 a) (*.f64 (pow.f64 a 5) 1/480))))
(.f64 b (-.f64 (fma.f64 (pow.f64 a 3) 1/48 1/2) (fma.f64 1/4 a (.f64 (pow.f64 a 5) 1/480))))

prune178.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	154	5	159

Error

0.6b

Counts

159 → 5

Alt Table

Status	Error	Program
	30.6b	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
▶	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	29.9b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
✓	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
	30.3b	(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 5714 to 3414 computations (40.3% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	a	@	0	(log1p.f64 (exp.f64 a))
0.0ms	a	@	0	(+.f64 1 (exp.f64 a))
0.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`prod-diff_binary64`
317×	`fma-def_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`
153×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	189	27
2	2657	27

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs

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

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

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-neg_binary64`
419×	`associate-+l+_binary64`
381×	`associate-l_binary64`
306×	`associate-+r+_binary64`
298×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	515
1	141	508
2	407	496
3	1447	492
4	4056	491

Stop Event

1×	node limit

Counts

150 → 135

Calls

Call 1

Inputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 2 a)))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.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))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (log.f64 2)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (log.f64 2))) (*.f64 1/192 (pow.f64 a 4)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))

Outputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(fma.f64 a (*.f64 a 1/2) (+.f64 2 a))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 2 a)))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) (+.f64 2 a)))
(fma.f64 a (*.f64 a 1/2) (+.f64 2 (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 a (fma.f64 a (*.f64 a 1/2) (fma.f64 1/6 (pow.f64 a 3) 2)))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(+.f64 (+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/2 b)) (.f64 -1/4 (*.f64 a b)))
(+.f64 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2))) (.f64 (.f64 -1/4 b) a))
(fma.f64 (*.f64 a b) -1/4 (fma.f64 1/2 b (fma.f64 a 1/2 (log.f64 2))))
(fma.f64 (*.f64 a b) -1/4 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2))))
(-.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (fma.f64 b 1/4 -1/2)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/2 b))) (.f64 -1/4 (.f64 a b)))
(+.f64 (fma.f64 (.f64 a a) 1/8 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2)))) (.f64 (*.f64 -1/4 b) a))
(fma.f64 a (.f64 a 1/8) (fma.f64 (.f64 a b) -1/4 (fma.f64 1/2 b (fma.f64 a 1/2 (log.f64 2)))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 a (+.f64 1/2 (fma.f64 a 1/8 (.f64 b -1/4)))))
(+.f64 (log.f64 2) (fma.f64 1/2 (+.f64 a b) (.f64 a (fma.f64 a 1/8 (.f64 b -1/4)))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/48 (.f64 (pow.f64 a 3) b) (.f64 1/2 b)))) (.f64 -1/4 (*.f64 a b)))
(+.f64 (+.f64 (fma.f64 (.f64 a a) 1/8 (fma.f64 a 1/2 (log.f64 2))) (.f64 b (+.f64 (.f64 (pow.f64 a 3) 1/48) 1/2))) (.f64 (*.f64 -1/4 b) a))
(fma.f64 (.f64 a b) -1/4 (fma.f64 a 1/2 (fma.f64 a (.f64 a 1/8) (fma.f64 b (fma.f64 (pow.f64 a 3) 1/48 1/2) (log.f64 2)))))
(+.f64 (fma.f64 b (fma.f64 (pow.f64 a 3) 1/48 1/2) (log.f64 2)) (.f64 a (+.f64 1/2 (fma.f64 a 1/8 (.f64 b -1/4)))))
(+.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 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 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 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 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 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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (log.f64 2)))
(fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2)))
(fma.f64 (*.f64 a a) 1/8 (fma.f64 a 1/2 (log.f64 2)))
(fma.f64 a (*.f64 a 1/8) (fma.f64 a 1/2 (log.f64 2)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (log.f64 2))) (*.f64 1/192 (pow.f64 a 4)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (log.f64 2))) (.f64 -1/192 (pow.f64 a 4)))
(+.f64 (fma.f64 (.f64 a a) 1/8 (fma.f64 a 1/2 (log.f64 2))) (.f64 (pow.f64 a 4) -1/192))
(fma.f64 (pow.f64 a 4) -1/192 (fma.f64 (*.f64 a a) 1/8 (fma.f64 a 1/2 (log.f64 2))))
(fma.f64 (pow.f64 a 4) -1/192 (fma.f64 a (*.f64 a 1/8) (fma.f64 a 1/2 (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))

prune164.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	171	6	177

Error

0.6b

Counts

177 → 6

Alt Table

Status	Error	Program
	29.9b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
✓	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
	30.6b	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
▶	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
	30.3b	(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	2.0b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 2996 to 1621 computations (45.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
✓	0.0b	(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
✓	0.8b	(cbrt.f64 (log1p.f64 (exp.f64 a)))

series152.0ms (1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
72.0ms	b	@	inf	(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
26.0ms	b	@	0	(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
23.0ms	a	@	inf	(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
17.0ms	a	@	-inf	(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
4.0ms	a	@	0	(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`prod-diff_binary64`
123×	`add-sqr-sqrt_binary64`
121×	`pow1_binary64`
119×	`*-un-lft-identity_binary64`
118×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	250	42
2	3169	42

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))
((#(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 (/.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 (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 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (+.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 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) 1))))))) (#(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 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.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 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(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 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (+.f64 (exp.f64 a) 1))))))) (#(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 log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(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 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))))

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary64`
643×	`associate-r_binary64`
619×	`associate-l_binary64`
548×	`cancel-sign-sub-inv_binary64`
139×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1691
1	418	1673
2	1499	1655

Stop Event

1×	node limit

Counts

184 → 152

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (.f64 1/24 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 5/648 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))) (+.f64 (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (.f64 1/24 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) (+.f64 (.f64 1/72 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/9))) (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9)))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(/.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 1/2 b)
(-.f64 (.f64 1/2 b) (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (.f64 1/2 b)) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/16 (*.f64 (pow.f64 a 2) b))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (+.f64 (.f64 1/32 (.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/2 b))) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (+.f64 (.f64 1/96 (.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/3))) (.f64 1/16 (*.f64 (pow.f64 a 2) 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 (log.f64 2) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 (*.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (+.f64 (log.f64 2) (.f64 1/2 b))))) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/16 (*.f64 (pow.f64 a 2) b))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/32 (.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (+.f64 (log.f64 2) (.f64 1/2 b)))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/96 (.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/3))))))
(+.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))))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 1/3 (.f64 a (pow.f64 (log.f64 2) 1/9))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (log.f64 2)) 1/3))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 1/3 (.f64 a (pow.f64 (log.f64 2) 1/9))))) (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (log.f64 2)) 1/3))) (+.f64 (.f64 1/162 (/.f64 (pow.f64 a 3) (log.f64 2))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 1/3 (.f64 a (pow.f64 (log.f64 2) 1/9)))))) (+.f64 (.f64 1/72 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (.f64 1/36 (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))))
(fma.f64 1/6 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2)))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (.f64 1/24 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))
(+.f64 (cbrt.f64 (log.f64 2)) (-.f64 (fma.f64 1/6 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 1/24 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (.f64 1/36 (.f64 (.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))))))
(+.f64 (cbrt.f64 (log.f64 2)) (+.f64 (fma.f64 1/6 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 1/24 (.f64 a a)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) a)) -1/36)))
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 (.f64 a a) (-.f64 (.f64 1/24 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))))))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 5/648 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))) (+.f64 (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (.f64 1/24 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) (+.f64 (.f64 1/72 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/9))) (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9)))))
(+.f64 (cbrt.f64 (log.f64 2)) (-.f64 (fma.f64 5/648 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))) (fma.f64 1/6 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 1/24 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))))) (fma.f64 1/72 (.f64 (pow.f64 a 3) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/18))) (.f64 1/36 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))))))
(+.f64 (cbrt.f64 (log.f64 2)) (-.f64 (fma.f64 5/648 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))) (fma.f64 1/6 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 1/24 (.f64 a a))))) (fma.f64 1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) a)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/18)) (.f64 (pow.f64 a 3) 1/72)))))
(+.f64 (fma.f64 5/648 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 1/6 a) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 a (.f64 a 1/24)) (cbrt.f64 (log.f64 2))))) (fma.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) -1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 11)) 1/18)) (*.f64 (pow.f64 a 3) -1/72))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (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 1/2 b)
(*.f64 b 1/2)
(-.f64 (.f64 1/2 b) (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))
(-.f64 (.f64 b 1/2) (.f64 1/4 (.f64 (.f64 a b) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)))))
(fma.f64 b 1/2 (.f64 (.f64 -1/4 (.f64 a b)) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))))
(fma.f64 b 1/2 (.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) b)) -1/4)))
(-.f64 (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (.f64 1/2 b)) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/16 (*.f64 (pow.f64 a 2) b))))
(-.f64 (fma.f64 1/16 (.f64 (.f64 (.f64 a a) b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (pow.f64 (pow.f64 (log.f64 2) 8) 1/18))) (.f64 b 1/2)) (fma.f64 1/4 (.f64 (.f64 a b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (.f64 1/16 (.f64 (*.f64 a a) b))))
(-.f64 (fma.f64 1/16 (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 a (.f64 a b)))) (.f64 b 1/2)) (fma.f64 1/16 (.f64 a (.f64 a b)) (.f64 (.f64 a b) (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/4))))
(fma.f64 1/16 (.f64 a (.f64 a (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) b)))) (fma.f64 b 1/2 (fma.f64 (.f64 (.f64 a b) -1/4) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (.f64 b (.f64 (.f64 a a) -1/16)))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (+.f64 (.f64 1/32 (.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/2 b))) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (+.f64 (.f64 1/96 (.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/3))) (.f64 1/16 (*.f64 (pow.f64 a 2) b)))))
(-.f64 (fma.f64 1/16 (.f64 (.f64 (.f64 a a) b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (pow.f64 (pow.f64 (log.f64 2) 8) 1/18))) (fma.f64 1/32 (.f64 (pow.f64 a 3) (.f64 b (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)))) (.f64 b 1/2))) (fma.f64 1/4 (.f64 (.f64 a b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (fma.f64 1/96 (.f64 (.f64 (pow.f64 a 3) b) (cbrt.f64 (pow.f64 (log.f64 2) 4))) (.f64 1/16 (.f64 (.f64 a a) b)))))
(-.f64 (fma.f64 1/16 (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 a (.f64 a b)))) (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 a 3) b))) (.f64 b 1/2))) (fma.f64 1/16 (.f64 a (.f64 a b)) (fma.f64 (.f64 (.f64 1/96 b) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (log.f64 2) 4)) (.f64 (.f64 a b) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/4)))))
(-.f64 (fma.f64 (.f64 (.f64 a (.f64 (.f64 a b) 1/16)) (pow.f64 (pow.f64 (log.f64 2) 8) 1/18)) (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (fma.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (.f64 b 1/32)) (.f64 b 1/2))) (fma.f64 a (.f64 b (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/4)) (fma.f64 (.f64 a a) (.f64 b 1/16) (.f64 (.f64 (pow.f64 a 3) b) (.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) 1/96)))))
(/.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 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(fma.f64 b 1/2 (log.f64 2))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 (*.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (.f64 b 1/2))) (.f64 -1/4 (.f64 (.f64 a b) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)))))
(+.f64 (fma.f64 a 1/2 (fma.f64 b 1/2 (log.f64 2))) (.f64 (.f64 -1/4 (.f64 a b)) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))))
(fma.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) b))) -1/4 (fma.f64 a 1/2 (fma.f64 b 1/2 (log.f64 2))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (+.f64 (log.f64 2) (.f64 1/2 b))))) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/16 (*.f64 (pow.f64 a 2) b))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (fma.f64 1/16 (.f64 (.f64 (.f64 a a) b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (pow.f64 (pow.f64 (log.f64 2) 8) 1/18))) (+.f64 (log.f64 2) (.f64 b 1/2))))) (fma.f64 1/4 (.f64 (.f64 a b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (.f64 1/16 (.f64 (.f64 a a) b))))
(-.f64 (fma.f64 (.f64 a a) 1/8 (fma.f64 a 1/2 (fma.f64 1/16 (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 a (.f64 a b)))) (fma.f64 b 1/2 (log.f64 2))))) (fma.f64 1/16 (.f64 a (.f64 a b)) (.f64 (.f64 a b) (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/4))))
(+.f64 (fma.f64 a 1/2 (fma.f64 1/16 (.f64 a (.f64 a (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) b)))) (fma.f64 b 1/2 (log.f64 2)))) (fma.f64 a (.f64 a 1/8) (fma.f64 (.f64 (.f64 a b) -1/4) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (.f64 b (.f64 (*.f64 a a) -1/16)))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (.f64 1/32 (.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (pow.f64 (log.f64 2) 8) 1/9))) (+.f64 (log.f64 2) (.f64 1/2 b)))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 1/4 (.f64 (.f64 a b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) (.f64 1/96 (.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (pow.f64 (log.f64 2) 4) 1/3))))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (fma.f64 1/32 (.f64 (pow.f64 a 3) (.f64 b (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)))) (fma.f64 1/16 (.f64 (.f64 (.f64 a a) b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (pow.f64 (pow.f64 (log.f64 2) 8) 1/18))) (+.f64 (log.f64 2) (.f64 b 1/2)))))) (fma.f64 1/4 (.f64 (.f64 a b) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (fma.f64 1/96 (.f64 (.f64 (pow.f64 a 3) b) (cbrt.f64 (pow.f64 (log.f64 2) 4))) (.f64 1/16 (.f64 (*.f64 a a) b)))))
(-.f64 (fma.f64 (.f64 a a) 1/8 (fma.f64 a 1/2 (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 a 3) b))) (fma.f64 1/16 (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 a (.f64 a b)))) (fma.f64 b 1/2 (log.f64 2)))))) (fma.f64 1/16 (.f64 a (.f64 a b)) (fma.f64 (.f64 (.f64 1/96 b) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (log.f64 2) 4)) (.f64 (.f64 a b) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/4)))))
(-.f64 (+.f64 (fma.f64 a 1/2 (fma.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (.f64 b 1/32)) (fma.f64 1/16 (.f64 a (.f64 a (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 8) 1/18) b)))) (fma.f64 b 1/2 (log.f64 2))))) (.f64 (.f64 a a) (-.f64 1/8 (.f64 1/16 b)))) (fma.f64 (pow.f64 a 3) (.f64 b (.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) 1/96)) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 a (.f64 b 1/4))))))
(+.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 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 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 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 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 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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.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 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 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 2) 2))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 1/3 (.f64 a (pow.f64 (log.f64 2) 1/9))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 1/3 (.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))))
(fma.f64 1/3 (.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(fma.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (.f64 (pow.f64 (log.f64 2) 1/18) 1/3)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (log.f64 2)) 1/3))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 1/3 (.f64 a (pow.f64 (log.f64 2) 1/9))))) (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))
(+.f64 (fma.f64 1/12 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (log.f64 2)))) (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 1/3 (.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))))) (.f64 -1/36 (.f64 (.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))))
(+.f64 (fma.f64 1/12 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (log.f64 2))))) (fma.f64 1/3 (.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) a)) -1/36))
(+.f64 (fma.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (.f64 (pow.f64 (log.f64 2) 1/18) 1/3)) (cbrt.f64 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 a a) (-.f64 (.f64 1/12 (cbrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (log.f64 2)) 1/3))) (+.f64 (.f64 1/162 (/.f64 (pow.f64 a 3) (log.f64 2))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 1/3 (.f64 a (pow.f64 (log.f64 2) 1/9)))))) (+.f64 (.f64 1/72 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (.f64 1/36 (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))
(-.f64 (fma.f64 1/12 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 1/162 (/.f64 (pow.f64 a 3) (log.f64 2)) (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 1/3 (.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))))) (fma.f64 1/72 (.f64 (pow.f64 a 3) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (.f64 1/36 (.f64 (.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))))
(-.f64 (fma.f64 1/12 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (log.f64 2))))) (fma.f64 1/162 (/.f64 (pow.f64 a 3) (log.f64 2)) (fma.f64 1/3 (.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2))))) (fma.f64 1/72 (.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18)) (.f64 1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) a)))))
(-.f64 (fma.f64 (.f64 a a) (.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) 1/12) (fma.f64 1/3 (.f64 a (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (fma.f64 1/162 (/.f64 (pow.f64 a 3) (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2))))) (fma.f64 (.f64 (pow.f64 a 3) (.f64 1/72 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (.f64 a (.f64 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) 1/36))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))

prune249.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	185	6	191

Error

0.6b

Counts

191 → 6

Alt Table

Status	Error	Program
	30.3b	(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
	29.9b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
✓	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
	30.6b	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
	2.0b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 4911 to 2922 computations (40.5% saved)

regimes524.0ms (3.4%)

Accuracy

Total 0.4b remaining (44%)

Threshold costs 0.4b (44%)

Counts

243 → 1

Compiler

Compiled 3409 to 1590 computations (53.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	24	44
2	31	44
3	33	44
4	34	44

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end122.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 226 to 150 computations (33.6% saved)

Details

analyze868.0ms (5.6%)

sample12.6s (81%)

preprocess13.0ms (0.1%)

simplify11.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0%)

series88.0ms (0.6%)

rewrite51.0ms (0.3%)

simplify39.0ms (0.2%)

prune76.0ms (0.5%)

localize13.0ms (0.1%)

series64.0ms (0.4%)

rewrite52.0ms (0.3%)

simplify52.0ms (0.3%)

prune178.0ms (1.2%)

localize6.0ms (0%)

series8.0ms (0.1%)

rewrite54.0ms (0.4%)

simplify39.0ms (0.2%)

prune164.0ms (1.1%)

localize11.0ms (0.1%)

series152.0ms (1%)

rewrite59.0ms (0.4%)

simplify42.0ms (0.3%)

prune249.0ms (1.6%)

regimes524.0ms (3.4%)

simplify2.0ms (0%)

end122.0ms (0.8%)

Profiling