Details

analyze348.0ms (1.7%)

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample13.3s (63.6%)

Results

10.5s	7831×	body	8192	exit
1.3s	1974×	body	1024	valid
852.0ms	5071×	body	256	valid
352.0ms	1000×	body	512	valid
197.0ms	211×	body	2048	valid

preprocess19.0ms (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 10 to 8 computations (20% saved)

simplify7.0ms (0%)

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)))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series78.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
23.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite61.0ms (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`
650×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	138	18
2	1822	18

Stop Event

1×	node limit

Counts

2 → 56

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

Outputs

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

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
670×	`distribute-lft-in_binary64`
483×	`associate-*l/_binary64`
432×	`associate-*r/_binary64`
377×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	440
1	214	434
2	668	428
3	3076	416

Stop Event

1×	node limit

Counts

72 → 86

Calls

Call 1

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

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

eval30.0ms (0.1%)

Compiler: Compiled 1332 to 669 computations (49.8% saved)

prune17.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	7	87

Error

0.6b

Counts

87 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.0b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	28.4b	(log1p.f64 (exp.f64 a))
▶	28.1b	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
	27.3b	(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
▶	29.0b	(log1p.f64 (exp.f64 b))
✓	27.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 116 to 84 computations (27.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series51.0ms (0.2%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
14.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
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))))
1.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`prod-diff_binary64`
453×	`log-prod_binary64`
317×	`fma-def_binary64`
291×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	189	22
2	2662	22

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

431×	`sub-neg_binary64`
320×	`distribute-rgt-neg-in_binary64`
313×	`*-commutative_binary64`
311×	`+-commutative_binary64`
294×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	439
1	155	416
2	534	407
3	2215	405
4	5141	405

Stop Event

1×	node limit

Counts

144 → 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 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))

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))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 b (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 (.f64 b -1/48) (neg.f64 (pow.f64 a 3)) (fma.f64 a (.f64 a 1/8) (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (fma.f64 a (.f64 a 1/8) (fma.f64 (pow.f64 a 3) (.f64 b 1/48) (log.f64 2)))))
(+.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))))

localize5.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series33.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
14.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
1.0ms	b	@	0	(log1p.f64 (exp.f64 b))

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

318×	`pow1_binary64`
312×	`associate-l_binary64`
305×	`add-sqr-sqrt_binary64`
300×	`*-un-lft-identity_binary64`
291×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	73	5
2	819	5

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) 1) (+.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b)))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b)))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) 2))))))

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/l/_binary64`
556×	`associate-/r/_binary64`
462×	`associate-l_binary64`
426×	`associate-/l*_binary64`
421×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	51	85
2	99	85
3	248	79
4	683	79
5	2197	79
6	3574	79
7	4013	79
8	4912	79

Stop Event

1×	node limit

Counts

56 → 53

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	3.7b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series84.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
65.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
14.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`pow1_binary64`
851×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	166	20
2	2284	20

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

718×	`associate-*l/_binary64`
510×	`distribute-rgt-in_binary64`
505×	`distribute-lft-in_binary64`
403×	`associate-/r/_binary64`
348×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	773
1	278	743
2	865	732
3	3782	724

Stop Event

1×	node limit

Counts

106 → 98

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.5b	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
✓	4.7b	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))

Compiler

Compiled 37 to 12 computations (67.6% saved)

series41.0ms (0.2%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	b	@	inf	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
8.0ms	a	@	inf	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
8.0ms	b	@	-inf	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
8.0ms	a	@	-inf	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
2.0ms	a	@	0	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
807×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	204	28
2	2266	28

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs

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

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-def_binary64`
567×	`associate-l_binary64`
512×	`associate-r_binary64`
340×	`distribute-lft-in_binary64`
340×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1492
1	418	1429
2	1429	1255
3	7251	1025

Stop Event

1×	node limit

Counts

138 → 128

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 a (+.f64 1 (exp.f64 b))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 2 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (pow.f64 a 2))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (.f64 -6 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 2 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (pow.f64 a 2))) (log.f64 (+.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (-.f64 (.f64 2 (/.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1/2) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (-.f64 (.f64 2 (/.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/6 (.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 -6 (/.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (pow.f64 b 3))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))) (exp.f64 b))))
(+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))) (exp.f64 b)))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1/2) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2))))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(sqrt.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 a 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))
(sqrt.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 (-.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b))))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 (-.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a))))) (pow.f64 b 3)))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))))

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

eval143.0ms (0.7%)

Compiler: Compiled 7819 to 4369 computations (44.1% saved)

prune73.0ms (0.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	450	14	464
Fresh	1	0	1
Picked	1	0	1
Done	3	2	5
Total	455	16	471

Error

0.6b

Counts

471 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
▶	30.6b	(log.f64 (+.f64 b (+.f64 2 a)))
	29.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
✓	29.0b	(log1p.f64 (exp.f64 b))
	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))
	29.7b	(log.f64 (+.f64 2 b))
	29.6b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	1.9b	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
	33.9b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	28.4b	(log1p.f64 (exp.f64 a))
	1.3b	(+.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))))))
	63.2b	(log.f64 b)
▶	29.9b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
▶	29.9b	(log.f64 2)
	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 372 to 254 computations (31.7% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
✓	0.5b	(log1p.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 45 to 25 computations (44.4% saved)

series33.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	(log1p.f64 (+.f64 1 (exp.f64 a)))
13.0ms	a	@	-inf	(log1p.f64 (+.f64 1 (exp.f64 a)))
1.0ms	a	@	0	(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`prod-diff_binary64`
491×	`log-prod_binary64`
331×	`fma-def_binary64`
270×	`pow2_binary64`
185×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	209	30
2	2870	30

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

434×	`sub-neg_binary64`
318×	`distribute-rgt-neg-in_binary64`
315×	`distribute-rgt-out_binary64`
299×	`fma-def_binary64`
274×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	596
1	184	573
2	607	564
3	2435	562
4	5422	562

Stop Event

1×	node limit

Counts

194 → 174

Calls

Call 1

Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (.f64 1/3 a) (+.f64 (.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (.f64 1/81 (pow.f64 a 3)) (+.f64 (.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))

Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (.f64 1/3 a) (+.f64 (.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 a (*.f64 a 1/9) (log.f64 3)))
(+.f64 (.f64 1/81 (pow.f64 a 3)) (+.f64 (.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(fma.f64 1/3 a (fma.f64 1/81 (pow.f64 a 3) (fma.f64 a (*.f64 a 1/9) (log.f64 3))))
(+.f64 (log.f64 3) (.f64 a (+.f64 1/3 (.f64 a (+.f64 1/9 (*.f64 a 1/81))))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (fma.f64 (pow.f64 a 3) 1/6 a)))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (-.f64 1/2 (*.f64 b 1/4)) (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (-.f64 1/2 (.f64 b 1/4)) (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 (*.f64 a a) 1/8 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (-.f64 1/2 (.f64 b 1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 (.f64 a a) 1/8 (fma.f64 1/2 b (log.f64 2)))) (.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 a 3) (.f64 b 1/48) (fma.f64 (.f64 a a) 1/8 (fma.f64 1/2 b (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(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 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))

localize4.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`pow1_binary64`
865×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	159	9
2	2236	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-neg_binary64`
502×	`associate-+l+_binary64`
368×	`fma-def_binary64`
362×	`distribute-rgt-in_binary64`
360×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	656
1	314	588
2	1066	564
3	4566	560

Stop Event

1×	node limit

Counts

44 → 57

Calls

Call 1

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

Outputs
(log.f64 (+.f64 2 a))
(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(+.f64 (/.f64 b (+.f64 2 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (log.f64 (+.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (/.f64 b (+.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 a)) (.f64 (+.f64 (/.f64 (.f64 b -1/2) (+.f64 2 a)) 1) (/.f64 b (+.f64 2 a))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (pow.f64 (+.f64 2 a) 2)) (+.f64 (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))) (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3)))))
(+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3)) (/.f64 b (+.f64 2 a))) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (log.f64 (+.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 2 a)) 3) (/.f64 b (+.f64 2 a)))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 2 a)) 3) (log.f64 (+.f64 2 a))) (.f64 (+.f64 (/.f64 (.f64 b -1/2) (+.f64 2 a)) 1) (/.f64 b (+.f64 2 a))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (/.f64 a b) (+.f64 (log.f64 b) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (.f64 b b))))))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 2 b))))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (.f64 b b)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (+.f64 (log.f64 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (/.f64 2 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (.f64 2 (/.f64 1 b)))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (/.f64 a b) (+.f64 (log.f64 b) (/.f64 2 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (.f64 b b))))))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 2 b))))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (.f64 b b)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (+.f64 (log.f64 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (/.f64 2 b))))
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (/.f64 (.f64 -1/2 (.f64 a a)) (pow.f64 (+.f64 2 b) 2)))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (log.f64 (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) a) (/.f64 a (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (.f64 (+.f64 (/.f64 (.f64 a -1/2) (+.f64 2 b)) 1) (/.f64 a (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2))) (.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (fma.f64 -1/2 (/.f64 (.f64 a a) (pow.f64 (+.f64 2 b) 2)) (/.f64 (.f64 1/3 (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 3))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 -1/2 (/.f64 (.f64 a a) (pow.f64 (+.f64 2 b) 2)) (.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) a) (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (log.f64 (+.f64 2 b)))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (log.f64 (+.f64 2 b))) (.f64 (+.f64 (/.f64 (.f64 a -1/2) (+.f64 2 b)) 1) (/.f64 a (+.f64 2 b))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (/.f64 b a) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 2 (/.f64 1 a))))
(+.f64 (/.f64 b a) (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (/.f64 2 a)))
(+.f64 (/.f64 b a) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 2 (/.f64 1 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (.f64 a a)))))
(+.f64 (log.f64 a) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a)) (/.f64 b a)))
(+.f64 (/.f64 2 a) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a))))
(+.f64 (/.f64 b a) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 2 (/.f64 1 a)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (.f64 a a))))))
(+.f64 (log.f64 a) (+.f64 (+.f64 (/.f64 2 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (.f64 a a)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))))) (/.f64 b a)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 b) a) 3) (/.f64 2 a)) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 a)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (/.f64 b a) (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (/.f64 2 a)))
(+.f64 (/.f64 b a) (+.f64 (.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (.f64 a a)))))
(+.f64 (log.f64 a) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a)) (/.f64 b a)))
(+.f64 (/.f64 2 a) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a))))
(+.f64 (/.f64 b a) (+.f64 (.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (.f64 a a))))))
(+.f64 (log.f64 a) (+.f64 (+.f64 (/.f64 2 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (.f64 a a)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))))) (/.f64 b a)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 b) a) 3) (/.f64 2 a)) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

series10.0ms (0%)

Counts

3 → 39

Calls

15 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`prod-diff_binary64`
440×	`log-prod_binary64`
294×	`fma-def_binary64`
278×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	183	28
2	2651	28

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

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

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
617×	`fma-neg_binary64`
448×	`sub-neg_binary64`
435×	`associate-+l+_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	765
1	400	687
2	1170	660
3	4410	629

Stop Event

1×	node limit

Counts

187 → 200

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 -1/8 (pow.f64 b 2))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(*.f64 1/2 a)
(+.f64 (.f64 1/2 a) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1/4 (.f64 a b)) (.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(log.f64 (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1 (.f64 (+.f64 1/8 (.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (.f64 (-.f64 1/2 (.f64 1/4 a)) b))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1 (.f64 (+.f64 1/8 (.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (+.f64 (.f64 (pow.f64 b 3) (-.f64 1/24 (.f64 1/16 a))) (.f64 (-.f64 1/2 (.f64 1/4 a)) b)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 a b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))))) (.f64 -4 (/.f64 a (pow.f64 b 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 b 3))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 -1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 -1/8 (.f64 b b)))
(fma.f64 1/2 b (fma.f64 -1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b -1/8) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (.f64 -1/8 (.f64 b b)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (*.f64 b b) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b -1/8) (fma.f64 1/24 (pow.f64 b 3) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (+.f64 (log.f64 b) (/.f64 -2 (*.f64 b b)))))
(+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (+.f64 (log.f64 b) (/.f64 -2 (*.f64 b b)))))
(+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))))
(*.f64 1/2 a)
(+.f64 (.f64 1/2 a) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 a (.f64 -1/4 (.f64 b a)))
(fma.f64 1/2 a (.f64 b (.f64 a -1/4)))
(.f64 a (+.f64 1/2 (.f64 b -1/4)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 a (fma.f64 1/8 (.f64 (.f64 b b) a) (.f64 -1/4 (.f64 b a))))
(fma.f64 1/2 a (fma.f64 -1/4 (.f64 b a) (.f64 (.f64 b b) (.f64 a 1/8))))
(fma.f64 1/2 a (.f64 b (+.f64 (.f64 a -1/4) (.f64 a (.f64 1/8 b)))))
(.f64 a (+.f64 1/2 (.f64 b (+.f64 -1/4 (*.f64 1/8 b)))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1/4 (.f64 a b)) (.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(fma.f64 1/2 a (fma.f64 1/8 (.f64 (.f64 b b) a) (fma.f64 -1/4 (.f64 b a) (.f64 -1/16 (*.f64 (pow.f64 b 3) a)))))
(fma.f64 1/2 a (fma.f64 1/8 (.f64 b (.f64 b a)) (fma.f64 -1/4 (.f64 b a) (.f64 (pow.f64 b 3) (*.f64 a -1/16)))))
(fma.f64 1/2 a (fma.f64 b (.f64 a -1/4) (.f64 a (+.f64 (.f64 b (.f64 b 1/8)) (*.f64 (pow.f64 b 3) -1/16)))))
(.f64 a (+.f64 (.f64 b (+.f64 -1/4 (.f64 1/8 b))) (+.f64 (.f64 (pow.f64 b 3) -1/16) 1/2)))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(+.f64 (/.f64 a b) (.f64 (/.f64 a (.f64 b b)) (+.f64 -2 (/.f64 4 b))))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(+.f64 (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b)) (.f64 (/.f64 a (.f64 b b)) (+.f64 -2 (/.f64 4 b))))
(+.f64 (/.f64 a b) (.f64 (/.f64 a (.f64 b b)) (+.f64 (/.f64 4 b) (+.f64 -2 (/.f64 -8 (*.f64 b b))))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(+.f64 (/.f64 a b) (.f64 (/.f64 a (.f64 b b)) (+.f64 -2 (/.f64 4 b))))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(+.f64 (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b)) (.f64 (/.f64 a (.f64 b b)) (+.f64 -2 (/.f64 4 b))))
(+.f64 (/.f64 a b) (.f64 (/.f64 a (.f64 b b)) (+.f64 (/.f64 4 b) (+.f64 -2 (/.f64 -8 (*.f64 b b))))))
(log.f64 (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 b (+.f64 1/2 (.f64 -1/4 a))))
(fma.f64 1/2 a (fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 b (fma.f64 a -1/4 1/2) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1 (.f64 (+.f64 1/8 (.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (.f64 (-.f64 1/2 (.f64 1/4 a)) b))))
(fma.f64 1/2 a (fma.f64 -1 (.f64 (.f64 b b) (+.f64 1/8 (.f64 -1/8 a))) (+.f64 (log.f64 2) (.f64 b (+.f64 1/2 (*.f64 -1/4 a))))))
(fma.f64 1/2 a (-.f64 (fma.f64 b (+.f64 1/2 (.f64 a -1/4)) (log.f64 2)) (.f64 b (*.f64 b (fma.f64 -1/8 a 1/8)))))
(fma.f64 1/2 a (fma.f64 b (fma.f64 a -1/4 1/2) (-.f64 (log.f64 2) (.f64 b (.f64 b (fma.f64 -1/8 a 1/8))))))
(+.f64 (log.f64 2) (fma.f64 1/2 a (.f64 b (-.f64 (fma.f64 a -1/4 1/2) (.f64 b (fma.f64 -1/8 a 1/8))))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1 (.f64 (+.f64 1/8 (.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (+.f64 (.f64 (pow.f64 b 3) (-.f64 1/24 (.f64 1/16 a))) (.f64 (-.f64 1/2 (.f64 1/4 a)) b)))))
(fma.f64 1/2 a (fma.f64 -1 (.f64 (.f64 b b) (+.f64 1/8 (.f64 -1/8 a))) (+.f64 (log.f64 2) (fma.f64 (pow.f64 b 3) (+.f64 1/24 (.f64 -1/16 a)) (.f64 b (+.f64 1/2 (.f64 -1/4 a)))))))
(fma.f64 1/2 a (+.f64 (fma.f64 b (+.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 b 3) (+.f64 1/24 (.f64 a -1/16)))) (fma.f64 (neg.f64 (fma.f64 -1/8 a 1/8)) (.f64 b b) (log.f64 2))))
(-.f64 (fma.f64 1/2 a (fma.f64 b (fma.f64 a -1/4 1/2) (fma.f64 (pow.f64 b 3) (fma.f64 a -1/16 1/24) (log.f64 2)))) (.f64 b (.f64 b (fma.f64 -1/8 a 1/8))))
(+.f64 (fma.f64 (pow.f64 b 3) (fma.f64 a -1/16 1/24) (log.f64 2)) (fma.f64 1/2 a (.f64 b (-.f64 (fma.f64 a -1/4 1/2) (.f64 b (fma.f64 -1/8 a 1/8))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (.f64 2 (/.f64 1 b))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 2 b))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 a b)))
(+.f64 (log.f64 b) (/.f64 (+.f64 2 a) b))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 a b))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (.f64 b b)) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b))))
(+.f64 (/.f64 2 b) (-.f64 (+.f64 (log.f64 b) (/.f64 a b)) (/.f64 (fma.f64 2 a 2) (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (-.f64 (/.f64 a b) (/.f64 (fma.f64 2 a 2) (*.f64 b b)))))
(+.f64 (log.f64 b) (-.f64 (/.f64 (+.f64 2 a) b) (/.f64 (fma.f64 2 a 2) (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))))) (.f64 -4 (/.f64 a (pow.f64 b 3))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (.f64 b b)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 (*.f64 -4 a) (pow.f64 b 3))))
(+.f64 (/.f64 2 b) (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 b) (/.f64 a b)) (/.f64 (fma.f64 2 a 2) (.f64 b b))) (/.f64 8/3 (pow.f64 b 3))) (.f64 4 (/.f64 a (pow.f64 b 3)))))
(+.f64 (/.f64 2 b) (+.f64 (-.f64 (log.f64 b) (/.f64 (fma.f64 2 a 2) (*.f64 b b))) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (/.f64 a b)))))
(+.f64 (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 (+.f64 2 a) b)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 (fma.f64 2 a 2) (*.f64 b b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 2 b))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 a b)))
(+.f64 (log.f64 b) (/.f64 (+.f64 2 a) b))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (.f64 b b)) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b))))
(+.f64 (/.f64 2 b) (-.f64 (+.f64 (log.f64 b) (/.f64 a b)) (/.f64 (fma.f64 2 a 2) (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (-.f64 (/.f64 a b) (/.f64 (fma.f64 2 a 2) (*.f64 b b)))))
(+.f64 (log.f64 b) (-.f64 (/.f64 (+.f64 2 a) b) (/.f64 (fma.f64 2 a 2) (*.f64 b b))))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 b 3))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 2 a)) (.f64 b b)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 (*.f64 -4 a) (pow.f64 b 3))))
(+.f64 (/.f64 2 b) (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 b) (/.f64 a b)) (/.f64 (fma.f64 2 a 2) (.f64 b b))) (/.f64 8/3 (pow.f64 b 3))) (.f64 4 (/.f64 a (pow.f64 b 3)))))
(+.f64 (/.f64 2 b) (+.f64 (-.f64 (log.f64 b) (/.f64 (fma.f64 2 a 2) (*.f64 b b))) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (/.f64 a b)))))
(+.f64 (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 (+.f64 2 a) b)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 (fma.f64 2 a 2) (*.f64 b b)))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.1b	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
✓	0.4b	(pow.f64 (cbrt.f64 b) 2)
✓	0.6b	(cbrt.f64 b)

Compiler

Compiled 53 to 28 computations (47.2% saved)

series24.0ms (0.1%)

Counts

3 → 15

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
1.0ms	b	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
1.0ms	a	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
1.0ms	b	@	0	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
1.0ms	a	@	0	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
299×	`pow2_binary64`
211×	`pow1/3_binary64`
209×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	265	25
2	3125	25

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (*.f64 (pow.f64 b 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 b 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b b) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 b)) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 5) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 b) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 b)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 b))) 3))))))

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
770×	`associate-*r/_binary64`
535×	`distribute-lft-out_binary64`
376×	`*-commutative_binary64`
326×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	263
1	107	223
2	275	220
3	837	212
4	2937	212
5	3730	212
6	4977	212
7	5694	212

Stop Event

1×	node limit

Counts

102 → 99

Calls

Call 1

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

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

eval232.0ms (1.1%)

Compiler: Compiled 12940 to 7697 computations (40.5% saved)

prune109.0ms (0.5%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	681	10	691
Fresh	2	7	9
Picked	1	0	1
Done	3	3	6
Total	687	20	707

Error

0.6b

Counts

707 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(fma.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 b))) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
	33.9b	(/.f64 b (+.f64 (exp.f64 a) 1))
	30.9b	(log.f64 (+.f64 2 a))
▶	1.3b	(+.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))))))
▶	24.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
	1.4b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
▶	62.3b	(/.f64 a (+.f64 2 b))
	29.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
✓	29.0b	(log1p.f64 (exp.f64 b))
	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))
	29.7b	(log.f64 (+.f64 2 b))
	29.6b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	1.9b	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
✓	29.9b	(log.f64 2)
	63.2b	(log.f64 b)
▶	30.1b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
	24.3b	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 2)) (log1p.f64 (exp.f64 a)))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))
✓	28.4b	(log1p.f64 (exp.f64 a))

Compiler

Compiled 534 to 354 computations (33.7% saved)

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))
✓	0.5b	(log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
✓	0.6b	(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
✓	0.8b	(cbrt.f64 (log1p.f64 (exp.f64 a)))

Compiler

Compiled 174 to 65 computations (62.6% saved)

series280.0ms (1.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
158.0ms	a	@	-inf	(log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
59.0ms	a	@	inf	(log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
19.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
17.0ms	a	@	0	(log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
14.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log-prod_binary64`
477×	`pow-pow_binary64`
389×	`pow-unpow_binary64`
298×	`pow-prod-down_binary64`
275×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	261	30
2	2831	30

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

Inputs
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/9 (log.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/9 (log.f64 (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 1/9 (log.f64 (log1p.f64 (exp.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18)) 2))))))
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(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (.f64 2 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 8))) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 8))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)) (fma.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/2 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 8))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)) (.f64 2 (.f64 (cbrt.f64 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(pow.f64 (log1p.f64 (exp.f64 a)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 5/6)) (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8)) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 8)))) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (.f64 2 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 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((x pow.f64 (pow.f64 (exp.f64 1) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) 1) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 5/6)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 5/6)) 1) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 5/6)) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8))) 1) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 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exp.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8) (.f64 2 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8)) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 5/6))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 5/6))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (+.f64 (exp.f64 a) 1) 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 fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 a) 1) 1)) 2) (cbrt.f64 (+.f64 (+.f64 (exp.f64 a) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 a) 1) 1)) (sqrt.f64 (+.f64 (+.f64 (exp.f64 a) 1) 1)) -1)))))

simplify224.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

566×	`times-frac_binary64`
370×	`associate-r_binary64`
356×	`fma-def_binary64`
325×	`associate-l_binary64`
318×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	9243
1	1146	9082
2	4963	8698
3	7028	8694

Stop Event

1×	node limit

Counts

288 → 280

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 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)
(pow.f64 (log.f64 2) 1/9)
(+.f64 (.f64 1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) a)) (pow.f64 (log.f64 2) 1/9))
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(pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 -2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))) (+.f64 (.f64 2/27 (pow.f64 (.f64 1 (log.f64 2)) 1/3)) (.f64 6 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 1/162 (pow.f64 (.f64 1 (log.f64 2)) 1/3)))))))))) (.f64 1/6 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) 3)))))))) (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) 3)) (.f64 -6 (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) 2))))))))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/324 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (log.f64 2)) (pow.f64 1 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) 2)))))) (.f64 -1 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) 2))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3))))) (.f64 1/18 (pow.f64 1 1/9))) 3)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3))))) (.f64 1/18 (pow.f64 1 1/9))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) 2)))))) (.f64 -1 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))) 2))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 2) 1/3)))))) (.f64 (pow.f64 1 1/9) (.f64 (log.f64 2) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))))))))))))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))

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 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)))
(+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.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)) a)))
(fma.f64 1/6 (.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)) a) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))))))
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (.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)) a) (.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 a a)) (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))))))
(+.f64 (fma.f64 1/6 (.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)) a) (cbrt.f64 (log.f64 2))) (.f64 1/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 a a)))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))))))))
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (.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)) a) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (fma.f64 1/3 (.f64 (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (pow.f64 a 3)) (.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 a a)) (+.f64 1/8 (.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))))))))
(+.f64 (fma.f64 1/6 (.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)) a) (cbrt.f64 (log.f64 2))) (fma.f64 1/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 a a))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (fma.f64 1/3 (.f64 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (*.f64 (pow.f64 a 3) -1/3))))
(+.f64 (fma.f64 1/6 (.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)) a) (cbrt.f64 (log.f64 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/3 (.f64 a (.f64 a (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12))))) (.f64 -1/3 (.f64 (fma.f64 1/3 (.f64 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (pow.f64 a 3))))))
(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)))
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2) 1/18)))))))) (fma.f64 1/18 (.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) 0) (.f64 2 (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -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 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (fma.f64 1/6 (fma.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (fma.f64 -2 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 1/18 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -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)))))) (fma.f64 6 (fma.f64 1/9 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (.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))) (fma.f64 -2/3 (.f64 (fma.f64 1/3 (.f64 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 (.f64 1/3 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -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 (cbrt.f64 (log.f64 2)) 1/162)))) (.f64 (cbrt.f64 (log.f64 2)) 2/27))) (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 3)) (.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18)) (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))))))))))) (fma.f64 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) -6) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18)) (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) 0) (.f64 2 (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -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))))))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/27 (.f64 1/2 (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 2))))) (.f64 2 (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 3)))) (fma.f64 (log.f64 2) (+.f64 (/.f64 1/34992 (pow.f64 (log.f64 2) 3)) (fma.f64 1/324 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/216 (pow.f64 (log.f64 2) 3)) (/.f64 -1/144 (pow.f64 (log.f64 2) 2))))) (fma.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2))))) (fma.f64 1/36 (.f64 (.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 (.f64 2 (fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18)) (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) 0) (.f64 2 (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -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))))))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/27 (.f64 1/2 (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 2)))))) (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 2))) (fma.f64 (fma.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 1/18) (fma.f64 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) 1/2) (-.f64 (.f64 2 (fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18)) (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) 0) (.f64 2 (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -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))))))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/27 (.f64 1/2 (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 2)))))) (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 2)) (fma.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 (.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 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 1/18)))) (.f64 1/6 (pow.f64 (fma.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 1/18) 3)))))))))))))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/9))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/9)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series6.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(+.f64 (*.f64 1/2 a) (log.f64 2))
1.0ms	a	@	inf	(+.f64 (*.f64 1/2 a) (log.f64 2))
0.0ms	a	@	-inf	(+.f64 (*.f64 1/2 a) (log.f64 2))

rewrite48.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
681×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	150	7
2	1870	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11

Stop Event

1×

saturated

Counts

38 → 37

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
✓	1.0b	(log1p.f64 2)

Compiler

Compiled 29 to 19 computations (34.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
877×	`expm1-log1p-u_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	193	12
2	2424	12

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-def_binary64`
579×	`associate-/l/_binary64`
562×	`associate-/r/_binary64`
454×	`associate-l_binary64`
423×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	231
1	69	229
2	156	224
3	428	220
4	1126	220
5	2946	220
6	4335	220
7	4772	220
8	5671	220

Stop Event

1×	node limit

Counts

73 → 63

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 26 computations (63.4% saved)

series24.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(+.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))))))
7.0ms	b	@	0	(+.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))))))
4.0ms	b	@	inf	(+.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))))))
1.0ms	a	@	inf	(+.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))))))
1.0ms	a	@	-inf	(+.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))))))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`prod-diff_binary64`
554×	`log-prod_binary64`
305×	`pow2_binary64`
272×	`fma-def_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	250	38
2	3174	38

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)

(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))

(+.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))))))

Outputs

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

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

((#(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 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (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 (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 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (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 (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)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (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 (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 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (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 (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 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simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

855×	`associate-+l+_binary64`
463×	`cancel-sign-sub-inv_binary64`
412×	`fma-neg_binary64`
298×	`+-commutative_binary64`
227×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	3624
1	683	3534
2	2850	3352
3	5973	3198

Stop Event

1×	node limit

Counts

154 → 140

Calls

Call 1

Inputs
(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 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a)))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) a))))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) a)) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 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)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) a))))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) a))) (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (.f64 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 a 2)))))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (+.f64 (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 1/162 (pow.f64 (.f64 1 (log.f64 2)) 1/3))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) a))) (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (.f64 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 a 2))))))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3))
(+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (.f64 a (-.f64 1/2 (/.f64 (.f64 b (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 2 (pow.f64 1 1/3)))))))
(+.f64 (log.f64 2) (+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (+.f64 (.f64 a (-.f64 1/2 (/.f64 (.f64 b (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 2 (pow.f64 1 1/3))))) (.f64 (-.f64 1/8 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2) b) (pow.f64 2 (pow.f64 1 1/3)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) b) (pow.f64 2 (pow.f64 1 1/3))))) (pow.f64 a 2)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 b (pow.f64 2 (pow.f64 1 1/3))) (+.f64 (.f64 a (-.f64 1/2 (/.f64 (.f64 b (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (pow.f64 2 (pow.f64 1 1/3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b)) (pow.f64 2 (pow.f64 1 1/3)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))))) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 3)) (.f64 1/6 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))) (+.f64 (.f64 2/27 (pow.f64 (.f64 1 (log.f64 2)) 1/3)) (.f64 6 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 1/162 (pow.f64 (.f64 1 (log.f64 2)) 1/3))))))))))))))) b) (pow.f64 2 (pow.f64 1 1/3))) (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))) (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) b) (pow.f64 2 (pow.f64 1 1/3))) (.f64 -1 (/.f64 (.f64 b (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (pow.f64 2 (pow.f64 1 1/3))))))))))) (.f64 (-.f64 1/8 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2) b) (pow.f64 2 (pow.f64 1 1/3)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/6 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/18 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) b) (pow.f64 2 (pow.f64 1 1/3))))) (pow.f64 a 2))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))

Outputs
(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 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a)))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 1/3 (.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) a)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) a) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) a))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))) (.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 a a) (.f64 1/3 (.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) a))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) a) (.f64 a (.f64 a (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12))) (.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 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 a (+.f64 (.f64 1/3 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (.f64 (fma.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 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))))) a))))
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(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/3))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.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 (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))))
(/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))))
(/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (exp.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

eval688.0ms (3.3%)

Compiler: Compiled 33965 to 24557 computations (27.7% saved)

prune113.0ms (0.5%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	788	12	800
Fresh	7	5	12
Picked	1	0	1
Done	2	5	7
Total	798	22	820

Error

0.6b

Counts

820 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(fma.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 b))) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
	33.9b	(/.f64 b (+.f64 (exp.f64 a) 1))
	30.9b	(log.f64 (+.f64 2 a))
✓	24.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
	24.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 3))))
	62.3b	(/.f64 a b)
✓	30.1b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	29.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
	62.8b	(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 a b))
✓	29.0b	(log1p.f64 (exp.f64 b))
	29.6b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	29.7b	(log.f64 (+.f64 2 b))
	24.3b	(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (exp.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 8) (.f64 2 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/2))))))
	63.4b	(+.f64 (/.f64 a b) (.f64 (/.f64 a (.f64 b b)) (+.f64 -2 (/.f64 4 b))))
✓	29.9b	(log.f64 2)
	63.4b	(+.f64 (/.f64 a b) (.f64 (/.f64 a (.f64 b b)) (+.f64 (/.f64 4 b) (+.f64 -2 (/.f64 -8 (*.f64 b b))))))
	56.8b	(*.f64 1/2 b)
	25.7b	(fma.f64 (cbrt.f64 (.f64 (.f64 b b) 1/4)) (cbrt.f64 (*.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
✓	28.4b	(log1p.f64 (exp.f64 a))
	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))

Compiler

Compiled 282 to 201 computations (28.7% saved)

regimes90.0ms (0.4%)

Counts

43 → 1

Calls

Call 1

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

Outputs

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))

Calls

9 calls:

24.0ms	a
19.0ms	b
6.0ms	(exp.f64 a)
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
1.3b	1	`a`
1.3b	1	`b`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(exp.f64 a)`
1.3b	1	`(exp.f64 b)`
1.3b	1	`(exp.f64 b)`

Compiler

Compiled 549 to 279 computations (49.2% saved)

regimes157.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))

Calls

9 calls:

37.0ms	a
35.0ms	b
10.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(exp.f64 b)
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
1.3b	1	`a`
1.3b	1	`b`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(exp.f64 a)`
1.3b	1	`(exp.f64 b)`
1.3b	1	`(exp.f64 b)`

Compiler

Compiled 516 to 266 computations (48.4% saved)

regimes144.0ms (0.7%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

9 calls:

34.0ms	a
33.0ms	b
10.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
1.3b	1	`a`
1.3b	1	`b`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(exp.f64 a)`
1.3b	1	`(exp.f64 b)`
1.3b	1	`(exp.f64 b)`

Compiler

Compiled 404 to 224 computations (44.6% saved)

regimes417.0ms (2%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

8 calls:

328.0ms	b
25.0ms	a
13.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
10.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
1.1b	2	`a`
17.9b	8	`b`
1.5b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.5b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.5b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.5b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.1b	2	`(exp.f64 a)`
27.3b	1	`(exp.f64 b)`

Compiler

Compiled 193 to 123 computations (36.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.494703383963798e-15

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes265.0ms (1.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

225.0ms	b
22.0ms	a
6.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.7b	2	`a`
18.2b	8	`b`
1.7b	2	`(exp.f64 a)`
28.0b	1	`(exp.f64 b)`
28.0b	1	`(exp.f64 b)`

Compiler

Compiled 161 to 102 computations (36.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.494703383963798e-15

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes103.0ms (0.5%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	b
18.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.3b	2	`a`
19.5b	8	`b`
2.3b	2	`(exp.f64 a)`
2.3b	2	`(exp.f64 a)`

Compiler

Compiled 132 to 82 computations (37.9% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-29.972915106746616	-0.014377270750648985

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes160.0ms (0.8%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

110.0ms	b
35.0ms	a
6.0ms	(exp.f64 a)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.3b	2	`a`
19.5b	8	`b`
2.3b	2	`(exp.f64 a)`
2.3b	2	`(exp.f64 a)`

Compiler

Compiled 122 to 75 computations (38.5% saved)

bsearch44.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-29.972915106746616	-0.014377270750648985

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes291.0ms (1.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

262.0ms	b
15.0ms	a
8.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.5b	2	`a`
19.5b	8	`b`
2.5b	2	`(exp.f64 a)`

Compiler

Compiled 100 to 60 computations (40% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.494703383963798e-15

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes57.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	a
7.0ms	b

Results

Error	Segments	Branch
25.4b	2	`a`
29.6b	1	`b`

Compiler

Compiled 84 to 48 computations (42.9% saved)

bsearch307.0ms (1.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
307.0ms	-764758030.0453472	-34.13684861312837

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes72.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	a
14.0ms	b

Results

Error	Segments	Branch
25.5b	2	`a`
29.7b	1	`b`

Compiler

Compiled 78 to 43 computations (44.9% saved)

bsearch195.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
194.0ms	-764758030.0453472	-34.13684861312837

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes22.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	a
7.0ms	b

Results

Error	Segments	Branch
25.5b	2	`a`
29.9b	1	`b`

Compiler

Compiled 74 to 40 computations (45.9% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-29.972915106746616	-0.014377270750648985

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes20.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	a
6.0ms	b

Results

Error	Segments	Branch
25.8b	2	`a`
29.9b	1	`b`

Compiler

Compiled 70 to 37 computations (47.1% saved)

bsearch294.0ms (1.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
294.0ms	-764758030.0453472	-34.13684861312837

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes29.0ms (0.1%)

Accuracy

Total -7.0b remaining (-12.3%)

Threshold costs -7.0b (-12.3%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 b)

Calls

2 calls:

13.0ms	a
12.0ms	b

Results

Error	Segments	Branch
56.8b	1	`a`
56.8b	1	`b`

Compiler

Compiled 68 to 35 computations (48.5% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	313
1	74	313

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -8436625581621973/281474976710656) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 a -8436625581621973/281474976710656) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -3284610728398151680/4294967296) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -3284610728398151680/4294967296) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -8436625581621973/281474976710656) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -3284610728398151680/4294967296) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)
(/.f64 a b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 9) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -8436625581621973/281474976710656) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 a -8436625581621973/281474976710656) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2))))
(if (<=.f64 a -8436625581621973/281474976710656) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -8436625581621973/281474976710656) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -3284610728398151680/4294967296) (.f64 1/2 b) (+.f64 (.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -400953458056415/524288) (.f64 b 1/2) (+.f64 (.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -3284610728398151680/4294967296) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -400953458056415/524288) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -8436625581621973/281474976710656) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -8436625581621973/281474976710656) (*.f64 b 1/2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -3284610728398151680/4294967296) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -400953458056415/524288) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)
(/.f64 a b)

Compiler

Compiled 227 to 156 computations (31.3% saved)

soundness155.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
670×	`distribute-lft-in_binary64`
483×	`associate-*l/_binary64`
434×	`sub-neg_binary64`
432×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	440
1	214	434
2	668	428
3	3076	416
0	67	596
1	184	573
2	607	564
3	2435	562
4	5422	562

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 42 to 30 computations (28.6% saved)

end137.0ms (0.7%)

Compiler: Compiled 239 to 141 computations (41% saved)