Details

analyze194.0ms (0.9%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.3s (78.7%)

Results

12.8s	7628×	body	8192	exit
1.6s	1944×	body	1024	valid
1.1s	5034×	body	256	valid
506.0ms	1074×	body	512	valid
303.0ms	204×	body	2048	valid

Bogosity

preprocess23.0ms (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)

simplify9.0ms (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)))

eval1.0ms (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

30.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.1b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	4.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series128.0ms (0.6%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
39.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite98.0ms (0.5%)

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))))))

simplify48.0ms (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)))

eval23.0ms (0.1%)

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

prune19.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	7	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	8	87

Error

0.2b

Counts

87 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.4b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	32.4b	(log1p.f64 (exp.f64 a))
	30.8b	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
▶	31.7b	(log1p.f64 (exp.f64 b))
	30.1b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
✓	30.1b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	32.4b	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 128 to 100 computations (21.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series68.0ms (0.3%)

Counts

4 → 44

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
18.0ms	a	@	-inf	(/.f64 b (+.f64 1 (exp.f64 a)))
13.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite125.0ms (0.6%)

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	36
1	189	36
2	2662	36

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

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

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-neg_binary64`
529×	`fma-def_binary64`
383×	`distribute-rgt-in_binary64`
310×	`associate-+l+_binary64`
301×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	602
1	246	560
2	938	532
3	4147	527

Stop Event

1×	node limit

Counts

236 → 224

Calls

Call 1

Inputs
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
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
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 -1/4 a)))
(*.f64 b (fma.f64 -1/4 a 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 -1/4 a)))
(*.f64 b (fma.f64 -1/4 a 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 (.f64 a a) 0)) (.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (.f64 b (fma.f64 -1/4 a 1/2)) (.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(.f64 b (-.f64 (fma.f64 -1/4 a 1/2) (.f64 -1/48 (pow.f64 a 3))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 (.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (.f64 (.f64 a a) 1/8)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 (.f64 a a) 1/8 (.f64 -1/192 (pow.f64 a 4))))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
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 1/2 (*.f64 a a) 2))
(+.f64 a (fma.f64 a (*.f64 1/2 a) 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 a 2) (.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 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 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (.f64 a 1/8) (log.f64 2)))) (.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(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))))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 4 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series59.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
33.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
24.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
1.0ms	b	@	0	(log1p.f64 (exp.f64 b))

rewrite76.0ms (0.4%)

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))))))

simplify90.0ms (0.4%)

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))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	3.0b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series102.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
83.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
14.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
2.0ms	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)))

rewrite70.0ms (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))))))

simplify53.0ms (0.3%)

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)))

eval144.0ms (0.7%)

Compiler: Compiled 7211 to 3969 computations (45% saved)

prune77.0ms (0.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	474	11	485
Fresh	2	0	2
Picked	1	0	1
Done	2	3	5
Total	479	14	493

Error

0.2b

Counts

493 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
	32.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
	34.3b	(log.f64 (+.f64 a 2))
	63.1b	(log.f64 b)
	2.0b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
	32.5b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	1.8b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
▶	32.7b	(log.f64 (+.f64 2 b))
▶	33.3b	(log.f64 2)
✓	31.7b	(log1p.f64 (exp.f64 b))
	31.7b	(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
▶	33.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	32.4b	(log1p.f64 (exp.f64 a))
✓	32.4b	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 207 to 168 computations (18.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 25 computations (46.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
784×	`expm1-log1p-u_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	164	9
2	2107	9

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

560×	`cancel-sign-sub-inv_binary64`
510×	`fma-neg_binary64`
497×	`associate-+l+_binary64`
358×	`unsub-neg_binary64`
293×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	254
1	117	237
2	468	220
3	2312	217
4	7793	217

Stop Event

1×	node limit

Counts

70 → 53

Calls

Call 1

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

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

localize8.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
513×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
505×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	108	6
2	1340	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-l_binary64`
499×	`fma-def_binary64`
482×	`fma-neg_binary64`
385×	`cancel-sign-sub-inv_binary64`
344×	`associate--l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	189
1	139	159
2	347	159
3	1025	153
4	2981	153
5	7960	153

Stop Event

1×	node limit

Counts

32 → 39

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))))

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

localize17.0ms (0.1%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval160.0ms (0.8%)

Compiler: Compiled 5604 to 3185 computations (43.2% saved)

prune56.0ms (0.3%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	352	5	357
Fresh	3	3	6
Picked	0	1	1
Done	1	6	7
Total	356	15	371

Error

0.2b

Counts

371 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
▶	32.3b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
▶	56.2b	(/.f64 b 2)
▶	34.3b	(log.f64 (+.f64 a 2))
	60.6b	(/.f64 b (+.f64 a 2))
▶	27.5b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
✓	32.7b	(log.f64 (+.f64 2 b))
✓	33.3b	(log.f64 2)
✓	31.7b	(log1p.f64 (exp.f64 b))
	32.7b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
	32.5b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	33.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	2.0b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
✓	32.4b	(log1p.f64 (exp.f64 a))
✓	32.4b	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 193 to 158 computations (18.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
	0.0b	(log1p.f64 (exp.f64 a))
✓	0.6b	(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)

Compiler

Compiled 50 to 28 computations (44% saved)

series20.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
2.0ms	a	@	inf	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
2.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
2.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
1.0ms	b	@	0	(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary64`
872×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
852×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	211	20
2	2400	20

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/l*_binary64`
549×	`associate-+l+_binary64`
536×	`associate-/r/_binary64`
505×	`associate-+r+_binary64`
350×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1702
1	565	1428
2	2331	1372
3	5479	1361

Stop Event

1×	node limit

Counts

98 → 92

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/72 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))))) (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))) (cbrt.f64 1/2)))) (.f64 1/144 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/72 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))))) (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))) (cbrt.f64 1/2)))) (.f64 1/144 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))) (.f64 (pow.f64 a 3) (+.f64 (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/18 (.f64 (pow.f64 (.f64 (pow.f64 1 4) b) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 8)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/1728 (.f64 (pow.f64 (.f64 1 (pow.f64 b 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))))))) (cbrt.f64 1/2))))))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))) (cbrt.f64 1/2)))) (.f64 1/144 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/1728 (.f64 (pow.f64 (.f64 1 (pow.f64 b 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (.f64 -1/2 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))))))))))))))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 7)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 7)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/1728 (.f64 (pow.f64 (.f64 1 (pow.f64 b 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))))) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 7)) 1/9) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (*.f64 1 b) 1/3) (cbrt.f64 1/2)))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)

Outputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) b))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a))
(fma.f64 1/2 b (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1/4) a))
(fma.f64 1/2 b (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 -1/4 a)))
(fma.f64 1/2 b (.f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 1/2))) (.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) -1/4)) a))
(fma.f64 1/2 b (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) -1/4)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) b)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/12 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))) a) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/72 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))))) (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 (+.f64 (.f64 1/8 b) (+.f64 (.f64 -1/8 b) (.f64 1/48 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 b 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))))) (cbrt.f64 1/2)))) (.f64 1/144 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 b 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(fma.f64 1/2 b (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1/4) a (.f64 (.f64 a a) (fma.f64 1/72 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (+.f64 (.f64 -1/3 (+.f64 (.f64 b 0) (.f64 (.f64 1/48 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 (+.f64 (.f64 b 0) (.f64 (.f64 1/48 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (.f64 1/144 (.f64 (.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))))))))))))
(fma.f64 1/2 b (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) -1/4)) a (.f64 a (.f64 a (fma.f64 1/72 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (fma.f64 -1/3 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) 0) (.f64 (cbrt.f64 1/2) (.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) 0) (cbrt.f64 1/2))) (.f64 1/144 (.f64 (*.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))))) (cbrt.f64 b)))))))))
(fma.f64 1/2 b (.f64 a (+.f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 1/2))) (.f64 (.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) -1/4)) (.f64 a (fma.f64 1/72 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) (.f64 (cbrt.f64 1/2) (.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) (cbrt.f64 1/2))) (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (.f64 (.f64 1/144 (pow.f64 (pow.f64 b 14) 1/18)) (pow.f64 (pow.f64 b 14) 1/18)))) (cbrt.f64 b)))))))))
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(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 (fma.f64 -1/1728 (/.f64 (cbrt.f64 (pow.f64 b 7)) (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 0 (.f64 (.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) 0) (.f64 (.f64 (pow.f64 (pow.f64 b 4) 1/18) (pow.f64 (pow.f64 b 4) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))))) 1/6))) (.f64 b -1/48)))) (fma.f64 -1/12 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (pow.f64 (pow.f64 b 7) 1/18) (.f64 (pow.f64 (pow.f64 b 7) 1/18) a))) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (.f64 (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) 0)))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 b) b)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 (fma.f64 -1/1728 (/.f64 (cbrt.f64 (pow.f64 b 7)) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (.f64 (.f64 (pow.f64 (pow.f64 b 4) 1/18) (pow.f64 (pow.f64 b 4) 1/18)) 1/6))) (.f64 b -1/48)))) (fma.f64 -1/12 (.f64 a (.f64 (.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48))) (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 b) b)))))))
(+.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (.f64 (.f64 -1/12 (.f64 a (.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 (/.f64 -1/3 (/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (/.f64 1 b) b)))) (+.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (/.f64 (cbrt.f64 1/2) (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) 1/48))) (.f64 a a)) (.f64 (/.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (+.f64 (fma.f64 -1/1728 (/.f64 (cbrt.f64 (pow.f64 b 7)) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 b 17) 1/18) (pow.f64 (pow.f64 b 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/48)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))) (.f64 (.f64 (pow.f64 (pow.f64 b 4) 1/18) (pow.f64 (pow.f64 b 4) 1/18)) 1/6)))) (.f64 b -1/48))))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))

localize3.0ms (0%)

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

localize6.0ms (0%)

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

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/8 (pow.f64 b 2))
✓	0.0b	(+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))
✓	0.0b	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))

Compiler

Compiled 39 to 32 computations (17.9% saved)

series7.0ms (0%)

Counts

3 → 19

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))
1.0ms	b	@	0	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
1.0ms	b	@	inf	(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
1.0ms	b	@	inf	(*.f64 1/8 (pow.f64 b 2))
0.0ms	b	@	0	(*.f64 1/8 (pow.f64 b 2))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`fma-def_binary64`
505×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
291×	`pow2_binary64`
288×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	243	31
2	3162	31

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))
(*.f64 1/8 (pow.f64 b 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 b b) 1/4) (-.f64 (*.f64 1/2 b) (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 2) (-.f64 (*.f64 1/2 b) (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 3)) (/.f64 1 (fma.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) (-.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) (*.f64 1/2 b)) (*.f64 (*.f64 b b) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) (-.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) (*.f64 1/2 b)) (*.f64 (*.f64 b b) 1/4)) (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) 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b)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) (-.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) (*.f64 1/2 b)) (*.f64 (*.f64 b b) 1/4)) (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 1/2 b) (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 1/8) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 (*.f64 b b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 1/8 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (*.f64 b 1/8)) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 1/8)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 1/64 (pow.f64 b 4))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/64 (pow.f64 b 4))) (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (log.f64 2))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 b b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 b b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 b 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/512 (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/512 (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 b) (log.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (sqrt.f64 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/512 (pow.f64 b 6))) 1/3))))))

simplify157.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
540×	`associate-l_binary64`
540×	`cube-prod_binary64`
528×	`fabs-mul_binary64`
513×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	199
1	28	179
2	48	177
3	93	161
4	207	161
5	544	161
6	1820	161
7	3149	161
8	3355	161
9	3569	161
10	3789	161
11	4103	161
12	4505	161
13	5018	161
14	5585	161
15	6269	161
16	7102	161
17	7494	161
18	7782	161

Stop Event

1×	node limit

Counts

176 → 167

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 1/8 (pow.f64 b 2))
(+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(*.f64 1/8 (pow.f64 b 2))
(+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(log.f64 2)
(*.f64 1/8 (pow.f64 b 2))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(*.f64 1/8 (pow.f64 b 2))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 1/8 (pow.f64 b 2))
(.f64 1/8 (.f64 b b))
(.f64 b (.f64 b 1/8))
(+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))
(fma.f64 1/2 b (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (.f64 b b) (.f64 1/2 b))
(.f64 b (+.f64 1/2 (.f64 b 1/8)))
(*.f64 b (fma.f64 b 1/8 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 1/8 (.f64 b b)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 1/8 (.f64 b b)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(*.f64 1/8 (pow.f64 b 2))
(.f64 1/8 (.f64 b b))
(.f64 b (.f64 b 1/8))
(+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))
(fma.f64 1/2 b (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (.f64 b b) (.f64 1/2 b))
(.f64 b (+.f64 1/2 (.f64 b 1/8)))
(*.f64 b (fma.f64 b 1/8 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 1/8 (.f64 b b)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 1/8 (.f64 b b)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(log.f64 2)
(*.f64 1/8 (pow.f64 b 2))
(.f64 1/8 (.f64 b b))
(.f64 b (.f64 b 1/8))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (*.f64 b b) (log.f64 2))
(fma.f64 b (*.f64 b 1/8) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (*.f64 b b) (log.f64 2))
(fma.f64 b (*.f64 b 1/8) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (*.f64 b b) (log.f64 2))
(fma.f64 b (*.f64 b 1/8) (log.f64 2))
(*.f64 1/8 (pow.f64 b 2))
(.f64 1/8 (.f64 b b))
(.f64 b (.f64 b 1/8))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (*.f64 b b) (log.f64 2))
(fma.f64 b (*.f64 b 1/8) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (*.f64 b b) (log.f64 2))
(fma.f64 b (*.f64 b 1/8) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))
(+.f64 (log.f64 2) (.f64 1/8 (.f64 b b)))
(fma.f64 1/8 (*.f64 b b) (log.f64 2))
(fma.f64 b (*.f64 b 1/8) (log.f64 2))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`expm1-log1p-u_binary64`
897×	`log1p-expm1-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	193	19
2	2466	19

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

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

Outputs

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

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

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-neg_binary64`
561×	`sub-neg_binary64`
374×	`associate-/r*_binary64`
350×	`distribute-lft-out_binary64`
279×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	519
1	220	501
2	557	493
3	1718	491
4	4213	491

Stop Event

1×	node limit

Counts

134 → 121

Calls

Call 1

Inputs
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/8 (pow.f64 b 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (.f64 -1/8 (pow.f64 b 2)) (.f64 -1/64 (pow.f64 b 4)))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.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 -1/2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1/2))) (*.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 -1/2) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.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 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/8 (pow.f64 b 2)))
(fma.f64 1/2 b (.f64 -1/8 (.f64 b b)))
(fma.f64 1/2 b (.f64 b (.f64 b -1/8)))
(.f64 b (+.f64 (.f64 b -1/8) 1/2))
(.f64 b (+.f64 1/2 (.f64 b -1/8)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 2))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (.f64 -1/8 (.f64 b b))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (.f64 b (.f64 b -1/8))))
(fma.f64 1/24 (pow.f64 b 3) (.f64 b (+.f64 (.f64 b -1/8) 1/2)))
(.f64 b (+.f64 1/2 (.f64 b (+.f64 -1/8 (*.f64 b 1/24)))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (.f64 -1/8 (pow.f64 b 2)) (.f64 -1/64 (pow.f64 b 4)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (.f64 b b) (.f64 -1/64 (pow.f64 b 4)))))
(fma.f64 1/2 b (fma.f64 -1/64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 (*.f64 b 1/24) -1/8))))
(fma.f64 1/2 b (.f64 (.f64 b b) (+.f64 -1/8 (.f64 b (+.f64 1/24 (.f64 b -1/64))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 b))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 b))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 1/2) (log.f64 b)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 b) (/.f64 2 b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (-.f64 (+.f64 (log.f64 1/2) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (log.f64 b) (/.f64 2 b)) (/.f64 -2 (*.f64 b b))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 b) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (log.f64 1/2) (/.f64 8/3 (pow.f64 b 3))))) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (+.f64 (log.f64 1/2) (log.f64 b)) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b)))))
(+.f64 (/.f64 2 b) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 b) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 -2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (+.f64 (log.f64 b) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2))
(-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (.f64 2 (/.f64 1 b))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2)) (/.f64 2 b))
(+.f64 (/.f64 2 b) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 -1/2) (-.f64 (/.f64 2 b) (log.f64 (/.f64 -1 b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1/2))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b))))
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (/.f64 2 b) (log.f64 (/.f64 -1 b))) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 2 b) (+.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b))) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1/2) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (log.f64 -1/2)))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (+.f64 (/.f64 2 b) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b)))) (/.f64 8/3 (pow.f64 b 3))) (/.f64 -2 (*.f64 b b)))
(+.f64 (+.f64 (log.f64 -1/2) (-.f64 (/.f64 2 b) (log.f64 (/.f64 -1 b)))) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 -1/2) (-.f64 (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))) (log.f64 (/.f64 -1 b)))))
(+.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)))
(+.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 -1/192 (pow.f64 a 4) (.f64 a (.f64 a 1/8))))
(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))))
(+.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)))

eval229.0ms (1.1%)

Compiler: Compiled 10890 to 7497 computations (31.2% saved)

prune79.0ms (0.4%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	528	7	535
Fresh	1	2	3
Picked	1	0	1
Done	2	9	11
Total	532	18	550

Error

0.2b

Counts

550 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b 2)) 3))
✓	32.7b	(log.f64 (+.f64 2 b))
✓	33.3b	(log.f64 2)
	32.5b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	30.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	56.2b	(/.f64 b 2)
	32.6b	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (/.f64 b 2))))
✓	34.3b	(log.f64 (+.f64 a 2))
✓	32.4b	(log.f64 (+.f64 1 (exp.f64 a)))
	60.6b	(.f64 b (.f64 b 1/8))
	32.3b	(+.f64 (.f64 1/2 b) (+.f64 (+.f64 0 (.f64 b (*.f64 b 1/8))) (log.f64 2)))
	63.7b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 b) (/.f64 2 b)))))
✓	31.7b	(log1p.f64 (exp.f64 b))
	32.7b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
	60.6b	(/.f64 b (+.f64 a 2))
✓	33.5b	(+.f64 (*.f64 1/2 a) (log.f64 2))
	56.3b	(*.f64 b (fma.f64 b 1/8 1/2))
✓	32.4b	(log1p.f64 (exp.f64 a))

Compiler

Compiled 147 to 121 computations (17.7% saved)

regimes89.0ms (0.4%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

9 calls:

18.0ms	a
16.0ms	b
9.0ms	(+.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`
0.2b	3	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.2b	3	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.2b	3	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.2b	3	`(+.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 268 to 174 computations (35.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.133940551207119e+166	+inf
0.0ms	1.999999999990226	2.0

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes241.0ms (1.2%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

9 calls:

159.0ms	b
39.0ms	a
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.3b	2	`a`
17.8b	8	`b`
0.5b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.5b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0.5b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.5b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.3b	2	`(exp.f64 a)`
27.5b	2	`(exp.f64 b)`
27.5b	2	`(exp.f64 b)`

Compiler

Compiled 176 to 128 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999838543406737

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes203.0ms (1%)

Counts

19 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(.f64 b (.f64 b 1/8))
(/.f64 b (+.f64 a 2))
(log.f64 b)
(log.f64 2)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 b (fma.f64 b 1/8 1/2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (+.f64 0 (.f64 b (*.f64 b 1/8))) (log.f64 2)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))

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

Calls

5 calls:

140.0ms	b
33.0ms	a
7.0ms	(exp.f64 b)
7.0ms	(exp.f64 b)
7.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.6b	2	`a`
17.8b	8	`b`
0.6b	2	`(exp.f64 a)`
27.7b	2	`(exp.f64 b)`
27.7b	2	`(exp.f64 b)`

Compiler

Compiled 125 to 91 computations (27.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999838543406737

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes113.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(.f64 b (.f64 b 1/8))
(/.f64 b (+.f64 a 2))
(log.f64 b)
(log.f64 2)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 b (fma.f64 b 1/8 1/2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (+.f64 0 (.f64 b (*.f64 b 1/8))) (log.f64 2)))
(log1p.f64 (exp.f64 a))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (.f64 1/2 b) (+.f64 (+.f64 0 (.f64 b (*.f64 b 1/8))) (log.f64 2)))

Calls

3 calls:

85.0ms	b
17.0ms	a
6.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
18.5b	8	`b`
1.3b	2	`(exp.f64 a)`

Compiler

Compiled 90 to 66 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999838543406737

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes88.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	b
14.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.6b	2	`a`
20.0b	6	`b`
1.6b	2	`(exp.f64 a)`

Compiler

Compiled 73 to 54 computations (26% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	-86526.87079063947	-1.6145789668841126e-5

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes22.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	a
6.0ms	b

Results

Error	Segments	Branch
27.8b	2	`a`
32.5b	1	`b`

Compiler

Compiled 51 to 37 computations (27.5% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-86526.87079063947	-1.6145789668841126e-5

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
5.0ms	b

Results

Error	Segments	Branch
27.8b	2	`a`
32.7b	1	`b`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	-86526.87079063947	-1.6145789668841126e-5

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
6.0ms	b

Results

Error	Segments	Branch
28.3b	2	`a`
33.3b	1	`b`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-86526.87079063947	-1.6145789668841126e-5

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes28.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	a
8.0ms	b

Results

Error	Segments	Branch
28.5b	2	`a`
33.3b	1	`b`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch46.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	-86526.87079063947	-1.6145789668841126e-5

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes19.0ms (0.1%)

Accuracy

Total -7.0b remaining (-12.4%)

Threshold costs -7.0b (-12.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 b 2)

Calls

2 calls:

8.0ms	a
8.0ms	b

Results

Error	Segments	Branch
56.2b	1	`a`
56.2b	1	`b`

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`+-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	239
1	61	239

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024) (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 b) (+.f64 (+.f64 0 (.f64 b (*.f64 b 1/8))) (log.f64 2))))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Outputs
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024) (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024) (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 b) (+.f64 (+.f64 0 (.f64 b (*.f64 b 1/8))) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (.f64 b 1/2) (+.f64 (.f64 b (*.f64 b 1/8)) (log.f64 2))))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -5946081284336227/68719476736) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Compiler

Compiled 176 to 121 computations (31.3% saved)

soundness170.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 38 to 28 computations (26.3% saved)

end197.0ms (0.9%)

Compiler: Compiled 240 to 137 computations (42.9% saved)