Details

analyze771.0ms (19.4%)

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)

sample1.0s (26.1%)

Results

834.0ms	8256×	body	128	valid
187.0ms	1917×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess26.0ms (0.7%)

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)

simplify7.0ms (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

6.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	11.6b	(.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)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series26.0ms (0.7%)

Counts

1 → 48

Calls

12 calls:

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

rewrite44.0ms (1.1%)

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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))))))))

simplify18.0ms (0.4%)

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)))

prune43.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	7	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Error

0.0b

Counts

63 → 8

Alt Table

Status	Error	Program
	10.9b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
	11.6b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
▶	10.2b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
	11.4b	(*.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))
	11.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
	30.4b	(.f64 (sqrt.f64 (.f64 a1 a2)) (.f64 (sqrt.f64 (.f64 a1 a2)) (/.f64 1 (*.f64 b1 b2))))
	28.9b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)
	11.7b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Compiler

Compiled 941 to 356 computations (62.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.8b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

series29.0ms (0.7%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	inf	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
3.0ms	a1	@	-inf	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
3.0ms	a2	@	-inf	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
3.0ms	b2	@	inf	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
2.0ms	a1	@	inf	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

rewrite42.0ms (1%)

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 a2 b1) (/.f64 a1 b2))

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

Outputs

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

simplify18.0ms (0.4%)

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)))

prune60.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	65	9	74

Error

Counts

74 → 9

Alt Table

Status	Error	Program
	10.9b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
	11.6b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
✓	10.2b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
	11.4b	(*.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))
	11.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
	30.4b	(.f64 (sqrt.f64 (.f64 a1 a2)) (.f64 (sqrt.f64 (.f64 a1 a2)) (/.f64 1 (*.f64 b1 b2))))
	28.9b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)
	11.7b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
▶	10.8b	(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))

Compiler

Compiled 869 to 344 computations (60.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.8b	(*.f64 b1 (/.f64 b2 a1))
✓	7.3b	(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))

series38.0ms (1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite44.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`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	2488	17

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	732
1	20	732
2	41	732
3	69	732
4	79	732

Stop Event

1×

saturated

Counts

163 → 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 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)
(/.f64 (*.f64 b2 b1) a1)

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

prune55.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Error

Counts

92 → 9

Alt Table

Status	Error	Program
	11.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
▶	10.9b	(*.f64 (/.f64 (/.f64 a2 b1) b2) a1)
	10.9b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
✓	10.2b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
	11.4b	(*.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))
	30.4b	(.f64 (sqrt.f64 (.f64 a1 a2)) (.f64 (sqrt.f64 (.f64 a1 a2)) (/.f64 1 (*.f64 b1 b2))))
	28.9b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)
	11.7b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
✓	10.8b	(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))

Compiler

Compiled 1147 to 443 computations (61.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 (/.f64 a2 b1) b2)
✓	6.9b	(*.f64 (/.f64 (/.f64 a2 b1) b2) a1)

series41.0ms (1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`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	2479	17

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify23.0ms (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	9	732
1	20	732
2	41	732
3	69	732
4	79	732
5	79	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 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))

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

prune48.0ms (1.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	83	9	92

Error

Counts

92 → 9

Alt Table

Status	Error	Program
	11.2b	(.f64 (.f64 a2 (*.f64 (/.f64 1 b1) (/.f64 1 b2))) a1)
✓	10.2b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
	11.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
✓	10.9b	(*.f64 (/.f64 (/.f64 a2 b1) b2) a1)
	10.9b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
	11.4b	(*.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))
	28.9b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2))) 2)
	11.7b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
✓	10.8b	(/.f64 a2 (*.f64 b1 (/.f64 b2 a1)))

Compiler

Compiled 1059 to 420 computations (60.3% saved)

regimes1.1s (27.9%)

Accuracy

Total 2.7b remaining (99.6%)

Threshold costs 0b (0%)

Counts

68 → 5

Compiler

Compiled 6740 to 4454 computations (33.9% 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
5e+289	∈ [	4.712926732954524e+289	,	9.812985702861538e+295	]
-0.0	∈ [	-0.0	,	9.642344703280603e-303	]
-2e-296	∈ [	-2.1671881165328279e-296	,	-2.7841413653508167e-303	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-2.1959808742499496e+300	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

50×	`distribute-rgt-neg-in_binary64`
45×	`cancel-sign-sub-inv_binary64`
39×	`distribute-lft-neg-out_binary64`
37×	`distribute-lft-neg-in_binary64`
36×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	121
1	61	121
2	99	113
3	145	113
4	215	113
5	267	113
6	318	113
7	382	113
8	424	113
9	432	113

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -inf.0) (/.f64 a2 (*.f64 b2 (/.f64 b1 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (*.f64 (neg.f64 a1) (neg.f64 a2)) (*.f64 (neg.f64 b2) (neg.f64 b1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2))) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2))))))

Outputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -inf.0) (/.f64 a2 (*.f64 b2 (/.f64 b1 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (*.f64 (neg.f64 a1) (neg.f64 a2)) (*.f64 (neg.f64 b2) (neg.f64 b1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2))) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2))))))

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -inf.0) (/.f64 a2 (*.f64 b2 (/.f64 b1 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (*.f64 (neg.f64 a1) (neg.f64 a2)) (*.f64 b2 (neg.f64 (neg.f64 b1)))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2))) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2))))))

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -inf.0) (/.f64 a2 (*.f64 b2 (/.f64 b1 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2))) (/.f64 (/.f64 a1 b2) (/.f64 b1 a2))))))

end392.0ms (9.9%)

Stop Event

1×

fuel

Compiler

Compiled 596 to 242 computations (59.4% saved)

Iter	Nodes	Cost
0	37	121
1	61	121
2	99	113
3	145	113
4	215	113
5	267	113
6	318	113
7	382	113
8	424	113
9	432	113

Iter	Nodes	Cost
0	37	121
1	61	121
2	99	113
3	145	113
4	215	113
5	267	113
6	318	113
7	382	113
8	424	113
9	432	113

Details

analyze771.0ms (19.4%)

sample1.0s (26.1%)

preprocess26.0ms (0.7%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series26.0ms (0.7%)

rewrite44.0ms (1.1%)

simplify18.0ms (0.4%)

prune43.0ms (1.1%)

localize5.0ms (0.1%)

series29.0ms (0.7%)

rewrite42.0ms (1%)

simplify18.0ms (0.4%)

prune60.0ms (1.5%)

localize5.0ms (0.1%)

series38.0ms (1%)

rewrite44.0ms (1.1%)

simplify21.0ms (0.5%)

prune55.0ms (1.4%)

localize5.0ms (0.1%)

series41.0ms (1%)

rewrite46.0ms (1.2%)

simplify23.0ms (0.6%)

prune48.0ms (1.2%)

regimes1.1s (27.9%)

bsearch1.0ms (0%)

simplify9.0ms (0.2%)

end392.0ms (9.9%)

Profiling

Iter	Nodes	Cost
0	37	121
1	61	121
2	99	113
3	145	113
4	215	113
5	267	113
6	318	113
7	382	113
8	424	113
9	432	113