Details

analyze832.0ms (23.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (30.7%)

Results

860.0ms	8256×	body	128	valid
217.0ms	1883×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess27.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

55×	`associate-/l*_binary64`
32×	`associate-/r/_binary64`
31×	`associate-/r*_binary64`
30×	`associate-*r/_binary64`
23×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	73	70
2	158	70
3	262	70
4	289	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
3
2

Call 2

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (.f64 a2 a1) (.f64 b1 b2))
(/.f64 (.f64 b1 a2) (.f64 a1 b2))
(/.f64 (.f64 b2 a2) (.f64 b1 a1))
(/.f64 (.f64 a1 b1) (.f64 a2 b2))
(/.f64 (.f64 a1 b2) (.f64 b1 a2))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(/.f64 (.f64 a2 a1) (.f64 b1 b2))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(/.f64 (.f64 b1 a2) (.f64 a1 b2))
(*.f64 (/.f64 b1 a1) (/.f64 a2 b2))
(*.f64 (/.f64 b1 b2) (/.f64 a2 a1))
(.f64 a2 (/.f64 b1 (.f64 a1 b2)))
(/.f64 (.f64 b2 a2) (.f64 b1 a1))
(*.f64 (/.f64 b2 b1) (/.f64 a2 a1))
(*.f64 (/.f64 a2 b1) (/.f64 b2 a1))
(.f64 a2 (/.f64 b2 (.f64 a1 b1)))
(*.f64 b2 (/.f64 (/.f64 a2 b1) a1))
(/.f64 (.f64 a1 b1) (.f64 a2 b2))
(/.f64 (/.f64 (*.f64 a1 b1) a2) b2)
(*.f64 (/.f64 a1 a2) (/.f64 b1 b2))
(/.f64 (/.f64 a1 a2) (/.f64 b2 b1))
(/.f64 (.f64 a1 b2) (.f64 b1 a2))
(*.f64 (/.f64 a1 b1) (/.f64 b2 a2))
(*.f64 (/.f64 a1 a2) (/.f64 b2 b1))
(*.f64 a1 (/.f64 (/.f64 b2 b1) a2))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	38	10
3	67	10
4	79	10
5	79	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

7.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	12.0b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
▶	11.6b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 62 to 37 computations (40.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.2b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

series20.0ms (0.6%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	0	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
2.0ms	b1	@	inf	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
2.0ms	a2	@	inf	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
2.0ms	a2	@	0	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
2.0ms	a1	@	inf	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite43.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
237×	`pow2_binary64`
170×	`pow1/3_binary64`
161×	`expm1-udef_binary64`
161×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	10
2	2503	10

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a1 (.f64 a2 (/.f64 1 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a2 (.f64 a1 (/.f64 1 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a1 a2) (/.f64 1 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (pow.f64 (cbrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2) (cbrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a1 a2)) 2) (.f64 (cbrt.f64 (.f64 a1 a2)) (/.f64 1 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (sqrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a1 a2)) (.f64 (sqrt.f64 (.f64 a1 a2)) (/.f64 1 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a1 (neg.f64 a2)) (/.f64 1 (.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 b1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 b2) (/.f64 a1 b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b1 b2)) (.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 1) (/.f64 a2 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 b1) (/.f64 a1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 1) (/.f64 a1 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 a2)) 2) 1) (/.f64 (cbrt.f64 (.f64 a1 a2)) (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) 1) (/.f64 (sqrt.f64 (.f64 a1 a2)) (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) b1) (/.f64 (sqrt.f64 (.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 b2) (/.f64 a2 b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 a2)) 2) b1) (/.f64 (cbrt.f64 (.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) b2) (/.f64 (sqrt.f64 (.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b2) (/.f64 a2 (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 a2)) 2) b2) (/.f64 (cbrt.f64 (.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 (.f64 b1 b2)) a2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a1 (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 (.f64 a1 a2) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 a2)) 2) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (cbrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 (sqrt.f64 (.f64 a1 a2)) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 (sqrt.f64 (.f64 b1 b2))) (/.f64 a2 (sqrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 (sqrt.f64 (.f64 b1 b2))) (/.f64 a1 (sqrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 b1 b2))) (/.f64 (.f64 a1 a2) (sqrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 a2)) 2) (sqrt.f64 (.f64 b1 b2))) (/.f64 (cbrt.f64 (.f64 a1 a2)) (sqrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 a1 a2) 3) (pow.f64 (.f64 b1 b2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (/.f64 b1 a1) (/.f64 b2 a2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 a1 a2) (.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 a1 a2) 3) (pow.f64 (.f64 b1 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a2 (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 a1 (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a1 a2)) 2) (*.f64 (cbrt.f64 (*.f64 a1 a2)) (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a1 a2)) (*.f64 (sqrt.f64 (*.f64 a1 a2)) (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a2)) (/.f64 1 (*.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 b1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 b2) (/.f64 a1 b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b1 b2)) (*.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 a2 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 b1) (/.f64 a1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 a1 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 a2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 a1 a2)) (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) 1) (/.f64 (sqrt.f64 (*.f64 a1 a2)) (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) b1) (/.f64 (sqrt.f64 (*.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 b2) (/.f64 a2 b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 a2)) 2) b1) (/.f64 (cbrt.f64 (*.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) b2) (/.f64 (sqrt.f64 (*.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b2) (/.f64 a2 (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 a2)) 2) b2) (/.f64 (cbrt.f64 (*.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (*.f64 b1 b2)) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 a1 (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 (*.f64 a1 a2) (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 a2)) 2) (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 (sqrt.f64 (*.f64 a1 a2)) (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 (*.f64 b1 b2))) (/.f64 a2 (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 (*.f64 b1 b2))) (/.f64 a1 (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b1 b2))) (/.f64 (*.f64 a1 a2) (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 a2)) 2) (sqrt.f64 (*.f64 b1 b2))) (/.f64 (cbrt.f64 (*.f64 a1 a2)) (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 (*.f64 b1 b2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 (*.f64 b1 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	480
1	17	480
2	38	480
3	67	480
4	79	480
5	79	480

Stop Event

1×

saturated

Counts

107 → 61

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))

prune45.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	56	7	63

Error

Counts

63 → 7

Alt Table

Status	Error	Program
	11.0b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
	9.5b	(*.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))
▶	9.2b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
	30.9b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3))
	10.0b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	12.0b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	9.7b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))

Compiler

Compiled 907 to 338 computations (62.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.9b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series5.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a1	@	0	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
0.0ms	a2	@	-inf	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
0.0ms	a1	@	-inf	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
0.0ms	b1	@	inf	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
0.0ms	b1	@	-inf	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite44.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
178×	`pow1/3_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`
165×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	10
2	2581	10

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (.f64 b1 (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (.f64 (/.f64 b2 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (.f64 b1 b2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 b1 (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a1 b1) (/.f64 b2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (.f64 (/.f64 b1 a1) b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (.f64 b2 (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a2 b2) (/.f64 b1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 b1 a1) (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 b2 a2) (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b1 (.f64 a1 (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b2 (.f64 (/.f64 a1 b1) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a2) (.f64 (/.f64 b1 a1) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a1) (.f64 (/.f64 b2 a2) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 a2) (.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (/.f64 a2 b2)) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a1 b1) a2) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a1 a2)) (neg.f64 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a1 (/.f64 a2 b2))) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (/.f64 a1 b1) a2)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a1) a2) (.f64 (neg.f64 b1) b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a1) 1) (.f64 (neg.f64 b1) (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (neg.f64 a2)) (.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a1) (neg.f64 a2)) (.f64 (neg.f64 b1) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a2) a1) (.f64 (neg.f64 b2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a2) 1) (.f64 (neg.f64 b2) (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (neg.f64 a1)) (.f64 b2 (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a2) (neg.f64 a1)) (.f64 (neg.f64 b2) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 (/.f64 a2 b2)) 1) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 (/.f64 a2 b2)) (pow.f64 (cbrt.f64 b1) 2)) (cbrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 (/.f64 a2 b2)) (sqrt.f64 b1)) (sqrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 a1 b1) a2) 1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 a1 b1) a2) (pow.f64 (cbrt.f64 b2) 2)) (cbrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 a1 b1) a2) (sqrt.f64 b2)) (sqrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a1) (/.f64 a2 b2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a2) (/.f64 a1 b1)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a1 b1) (neg.f64 a2)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a2 b2) (neg.f64 a1)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 a1 b1) 3) (pow.f64 (/.f64 a2 b2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 a2 b2) 3) (pow.f64 (/.f64 a1 b1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 b2 a2) (/.f64 b1 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 b1 b2) (.f64 a1 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b1 (.f64 a1 (/.f64 a2 b2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b2 (.f64 (/.f64 a1 b1) a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 a1 b1) 3) (pow.f64 (/.f64 a2 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 a2 b2) 3) (pow.f64 (/.f64 a1 b1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (*.f64 b1 (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (*.f64 (/.f64 b2 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (*.f64 b1 b2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 b1 (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a1 b1) (/.f64 b2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (*.f64 (/.f64 b1 a1) b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (*.f64 b2 (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a2 b2) (/.f64 b1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 b2 a2) (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b2 (*.f64 (/.f64 a1 b1) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a2) (*.f64 (/.f64 b1 a1) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a1) (*.f64 (/.f64 b2 a2) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a2) (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (/.f64 a2 b2)) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a1 b1) a2) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a2)) (neg.f64 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 (/.f64 a2 b2))) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 a1 b1) a2)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) a2) (*.f64 (neg.f64 b1) b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) 1) (*.f64 (neg.f64 b1) (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a2)) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) (neg.f64 a2)) (*.f64 (neg.f64 b1) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) a1) (*.f64 (neg.f64 b2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) 1) (*.f64 (neg.f64 b2) (/.f64 b1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (neg.f64 a1)) (*.f64 b2 (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) (neg.f64 a1)) (*.f64 (neg.f64 b2) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (/.f64 a2 b2)) 1) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (/.f64 a2 b2)) (pow.f64 (cbrt.f64 b1) 2)) (cbrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (/.f64 a2 b2)) (sqrt.f64 b1)) (sqrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a1 b1) a2) 1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a1 b1) a2) (pow.f64 (cbrt.f64 b2) 2)) (cbrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a1 b1) a2) (sqrt.f64 b2)) (sqrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) (/.f64 a2 b2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) (/.f64 a1 b1)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a1 b1) (neg.f64 a2)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 b2) (neg.f64 a1)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 a1 b1) 3) (pow.f64 (/.f64 a2 b2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 a2 b2) 3) (pow.f64 (/.f64 a1 b1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b2 a2) (/.f64 b1 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b2 (*.f64 (/.f64 a1 b1) a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 a2 b2)) (/.f64 a1 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a1 b1) 3) (pow.f64 (/.f64 a2 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 b2) 3) (pow.f64 (/.f64 a1 b1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	480
1	17	480
2	38	480
3	67	480
4	79	480
5	79	480

Stop Event

1×

saturated

Counts

112 → 66

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))

prune42.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Error

Counts

73 → 6

Alt Table

Status	Error	Program
	11.0b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
▶	9.3b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	10.0b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	12.7b	(/.f64 a2 (*.f64 (/.f64 b1 a1) b2))
	12.0b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	9.7b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))

Compiler

Compiled 792 to 294 computations (62.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.0b	(*.f64 (/.f64 a1 b1) a2)
✓	5.6b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)

series14.0ms (0.4%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a2	@	inf	(*.f64 (/.f64 a1 b1) a2)
2.0ms	a1	@	inf	(*.f64 (/.f64 a1 b1) a2)
1.0ms	a2	@	0	(*.f64 (/.f64 a1 b1) a2)
1.0ms	a1	@	0	(*.f64 (/.f64 a1 b1) a2)
1.0ms	a1	@	-inf	(*.f64 (/.f64 a1 b1) a2)

rewrite45.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2499	17

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(*.f64 (/.f64 a1 b1) a2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 b1) (/.f64 1 (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 b1) (*.f64 a2 (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 (/.f64 a1 b1) (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a1 b1) a2) (/.f64 1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))) (pow.f64 (cbrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))) 2) (cbrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))) (sqrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) a2)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) a2)) (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (neg.f64 (/.f64 a1 b1))) (/.f64 1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b2) (*.f64 (/.f64 a1 b1) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 b1) 1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 (/.f64 a1 b1) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 b1) b2) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) a2)) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 b1) (pow.f64 (cbrt.f64 b2) 2)) (/.f64 a2 (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (pow.f64 (cbrt.f64 b2) 2)) (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b2) 2)) (/.f64 (*.f64 (/.f64 a1 b1) a2) (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) 2) (pow.f64 (cbrt.f64 b2) 2)) (cbrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) a2)) (pow.f64 (cbrt.f64 b2) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) a2)) (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 b1) (sqrt.f64 b2)) (/.f64 a2 (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 b2)) (/.f64 (/.f64 a1 b1) (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b2)) (/.f64 (*.f64 (/.f64 a1 b1) a2) (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) 2) (sqrt.f64 b2)) (/.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a1 b1) a2) 3) (pow.f64 b2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b2 a2) (/.f64 b1 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 a1 b1) a2) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a1 b1) a2) 3) (pow.f64 b2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a1 (*.f64 (/.f64 b2 a2) b1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a1 b1) a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a1 b1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a1 b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a1 b1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (/.f64 a1 b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 b1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 b1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b1 (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a2) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) 1) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) (pow.f64 (cbrt.f64 b1) 2)) (cbrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) (sqrt.f64 b1)) (sqrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) a2) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (neg.f64 a1)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 b1) a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a1 b1) a2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) a2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 a1 b1) 3) (pow.f64 a2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a1 b1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b1 (*.f64 a1 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (/.f64 a1 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 b1) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) a2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a1 b1) 3) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a1 b1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a1 b1) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 b1) a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 b1) a2)))))))

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
10×	`associate-/r/_binary64`
7×	`associate-*r/_binary64`
6×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	732
1	20	732
2	43	732
3	70	732
4	77	732

Stop Event

1×

saturated

Counts

164 → 83

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 a1 a2) b1)

Outputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 a1 (/.f64 b1 a2))
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))

prune47.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Error

Counts

89 → 6

Alt Table

Status	Error	Program
	11.0b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
✓	9.3b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	10.0b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	12.7b	(/.f64 a2 (*.f64 (/.f64 b1 a1) b2))
	12.0b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
▶	9.7b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))

Compiler

Compiled 1092 to 411 computations (62.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.9b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
✓	5.6b	(/.f64 (*.f64 a1 a2) b2)

series13.0ms (0.4%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	inf	(/.f64 (*.f64 a1 a2) b2)
1.0ms	a1	@	inf	(/.f64 (*.f64 a1 a2) b2)
1.0ms	a1	@	0	(/.f64 (*.f64 a1 a2) b2)
1.0ms	b1	@	-inf	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
1.0ms	a2	@	0	(/.f64 (*.f64 a1 a2) b2)

rewrite48.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
169×	`log-div_binary64`
160×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	208	17
2	2891	17

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(/.f64 (*.f64 a1 a2) b2)
(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a1 b2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b2) a2))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b2) a2))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 b2) a2)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 b2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 b2) a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 1 (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a2 (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 a1 (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a2) (/.f64 1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a1 b2) a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a1 b2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 a1 b2) a2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b2) a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b2) a2)) 2) (cbrt.f64 (*.f64 (/.f64 a1 b2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) (*.f64 (cbrt.f64 (*.f64 a1 a2)) (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 a1 b2) a2)) (sqrt.f64 (*.f64 (/.f64 a1 b2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a1 a2)) (*.f64 (sqrt.f64 (*.f64 a1 a2)) (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a2)) (/.f64 1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b2) (*.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 a1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 b2) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) 1) (/.f64 (cbrt.f64 (*.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) 1) (/.f64 (sqrt.f64 (*.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 (cbrt.f64 b2) 2)) (/.f64 a2 (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (pow.f64 (cbrt.f64 b2) 2)) (/.f64 a1 (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b2) 2)) (/.f64 (*.f64 a1 a2) (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) (pow.f64 (cbrt.f64 b2) 2)) (cbrt.f64 (*.f64 (/.f64 a1 b2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) (pow.f64 (cbrt.f64 b2) 2)) (/.f64 (sqrt.f64 (*.f64 a1 a2)) (cbrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 b2)) (/.f64 a2 (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 b2)) (/.f64 a1 (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b2)) (/.f64 (*.f64 a1 a2) (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) (sqrt.f64 b2)) (/.f64 (cbrt.f64 (*.f64 a1 a2)) (sqrt.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 b2) a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a1 b2) a2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b2) a2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b2) a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b2 (*.f64 a1 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a1 a2) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 b2) a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a1 b2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 b2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 b2) a2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 b2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 b2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a1 b2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 b2) a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 b2) a2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (*.f64 (/.f64 b2 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (*.f64 b1 (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (*.f64 b2 b1) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (*.f64 b2 b1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a2) (*.f64 b2 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a2) (/.f64 b1 (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a1 b2) a2) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 b2 (*.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 b1 (/.f64 b2 (*.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b2 b1) (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b1 (*.f64 (/.f64 a1 b2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b1) (/.f64 b2 (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b2) a2)) 2) (/.f64 b1 (cbrt.f64 (*.f64 (/.f64 a1 b2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) (/.f64 (*.f64 b2 b1) (cbrt.f64 (*.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 a1 b2) a2)) (/.f64 b1 (sqrt.f64 (*.f64 (/.f64 a1 b2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 a1 a2)) (/.f64 (*.f64 b2 b1) (sqrt.f64 (*.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 b2 (*.f64 a1 a2)) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 b1) (/.f64 b2 (*.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a2)) (neg.f64 (*.f64 b2 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a2)) (*.f64 (neg.f64 b1) b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a2)) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) b1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 a1 b2) a2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 a1 a2) b1)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 (neg.f64 a2)) 1) (*.f64 (neg.f64 b2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 -1) (*.f64 (/.f64 b2 a2) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a2) -1) (*.f64 b2 (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 (neg.f64 a2)) -1) (*.f64 (neg.f64 b2) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 a1) (*.f64 (neg.f64 b1) (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 a1 (neg.f64 a2))) (*.f64 (neg.f64 b1) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a1 b2) a2) (sqrt.f64 b1)) (sqrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a1 b2) a2) 1) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a1 b2) a2) (pow.f64 (cbrt.f64 b1) 2)) (cbrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a2) b1) 1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a2) b1) (pow.f64 (cbrt.f64 b2) 2)) (cbrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a2) b1) (sqrt.f64 b2)) (sqrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (/.f64 1 b1)) (/.f64 b2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 (neg.f64 a2)) (/.f64 1 b1)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (/.f64 a1 b2) a2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 a1 b2) a2) -1) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b1) a1) (/.f64 b2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b1) (*.f64 a1 (neg.f64 a2))) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a1 b2) a2) 3) (pow.f64 b1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a1 b2) a2) 3) (/.f64 (pow.f64 b1 -2) b1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 b1 -2) b1) (pow.f64 (*.f64 (/.f64 a1 b2) a2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	480
1	17	480
2	38	480
3	67	480
4	79	480
5	79	480

Stop Event

1×

saturated

Counts

156 → 109

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))

prune57.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	109	6	115

Error

Counts

115 → 6

Alt Table

Status	Error	Program
	11.0b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
✓	9.3b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	12.7b	(/.f64 a2 (*.f64 (/.f64 b1 a1) b2))
	11.9b	(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
	12.0b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
✓	9.7b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))

Compiler

Compiled 1389 to 555 computations (60% saved)

regimes705.0ms (19.8%)

Accuracy

Total 2.7b remaining (99.2%)

Threshold costs 0b (0%)

Counts

39 → 5

Compiler

Compiled 413 to 157 computations (62% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Steps

Iters	Point		Range
1e+232	∈ [	6.975595892158193e+231	,	1.0868815440283683e+236	]
-0.0	∈ [	-0.0	,	7.4163e-318	]
-1e-284	∈ [	-1.3173655242477362e-284	,	-1.6595454900027518e-289	]
-2e+304	∈ [	-2.0109649897968016e+304	,	-5.715109633603123e+292	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	110
1	33	110

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (*.f64 (/.f64 a2 b1) (/.f64 a1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -6696928794914171/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a2 b1) (/.f64 a1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (/.f64 (/.f64 a1 b1) (/.f64 b2 a2))))))

Outputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (*.f64 (/.f64 a2 b1) (/.f64 a1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -6696928794914171/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a2 b1) (/.f64 a1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (/.f64 (/.f64 a1 b1) (/.f64 b2 a2))))))

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (*.f64 (/.f64 a2 b1) (/.f64 a1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -6696928794914171/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a2 b1) (/.f64 a1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (/.f64 (/.f64 a1 b1) (/.f64 b2 a2))))))

end359.0ms (10.1%)

Stop Event

1×

fuel

Compiler

Compiled 542 to 194 computations (64.2% saved)

Details

analyze832.0ms (23.4%)

sample1.1s (30.7%)

preprocess27.0ms (0.8%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series20.0ms (0.6%)

rewrite43.0ms (1.2%)

simplify19.0ms (0.5%)

prune45.0ms (1.3%)

localize5.0ms (0.2%)

series5.0ms (0.1%)

rewrite44.0ms (1.2%)

simplify18.0ms (0.5%)

prune42.0ms (1.2%)

localize5.0ms (0.2%)

series14.0ms (0.4%)

rewrite45.0ms (1.3%)

simplify23.0ms (0.6%)

prune47.0ms (1.3%)

localize6.0ms (0.2%)

series13.0ms (0.4%)

rewrite48.0ms (1.4%)

simplify20.0ms (0.6%)

prune57.0ms (1.6%)

regimes705.0ms (19.8%)

bsearch1.0ms (0%)

simplify8.0ms (0.2%)

end359.0ms (10.1%)

Profiling