Details

analyze951.0ms (27.7%)

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
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
25.3%	74.3%	0.4%	12
33.5%	65.6%	0.9%	13
38.5%	59.7%	1.8%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (33.1%)

Results

922.0ms	8256×	body	128	valid
194.0ms	1905×	body	128	invalid

preprocess20.0ms (0.6%)

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)))

eval1.0ms (0%)

Compiler: Compiled 18 to 9 computations (50% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

7.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	12.1b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
▶	11.1b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.8b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

series10.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

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

rewrite45.0ms (1.3%)

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 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))))))) (#(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))))))

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 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))))))) (#(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))))))

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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)))

eval14.0ms (0.4%)

Compiler: Compiled 735 to 222 computations (69.8% saved)

prune57.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Error

0.0b

Counts

63 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(.f64 (/.f64 1 (sqrt.f64 (.f64 b1 b2))) (/.f64 (.f64 a1 a2) (sqrt.f64 (.f64 b1 b2))))
	13.9b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
▶	10.8b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	11.4b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
	11.4b	(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
	35.0b	(.f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) b2) (/.f64 (sqrt.f64 (*.f64 a1 a2)) b1))
	12.6b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
	11.4b	(*.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))

Compiler

Compiled 220 to 140 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
✓	10.3b	(*.f64 (/.f64 b1 a1) (/.f64 b2 a2))

series15.0ms (0.4%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a2	@	inf	(*.f64 (/.f64 b1 a1) (/.f64 b2 a2))
1.0ms	b2	@	-inf	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
1.0ms	b1	@	0	(*.f64 (/.f64 b1 a1) (/.f64 b2 a2))
1.0ms	a2	@	-inf	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
1.0ms	a1	@	-inf	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
175×	`log-div_binary64`
172×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	220	20
2	3109	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

Outputs

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

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

simplify29.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

20×	`associate-/l*_binary64`
12×	`associate-/r*_binary64`
12×	`associate-/r/_binary64`
8×	`*-commutative_binary64`
8×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	960
1	25	960
2	59	960
3	97	960
4	109	960

Stop Event

1×

saturated

Counts

183 → 91

Calls

Call 1

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

eval18.0ms (0.5%)

Compiler: Compiled 1092 to 384 computations (64.8% saved)

prune121.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Error

Counts

99 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.8b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	11.4b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
	11.4b	(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
▶	8.7b	(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
	11.1b	(/.f64 (.f64 a1 a2) (.f64 b2 b1))
	10.5b	(pow.f64 (.f64 b2 (/.f64 b1 (.f64 a1 a2))) -1)
	12.3b	(pow.f64 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))) -1)
	10.6b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))

Compiler

Compiled 179 to 119 computations (33.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.1b	(*.f64 b2 (/.f64 b1 a1))
✓	5.7b	(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))

series7.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

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

rewrite52.0ms (1.5%)

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

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

simplify24.0ms (0.7%)

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 → 82

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))

eval15.0ms (0.4%)

Compiler: Compiled 934 to 303 computations (67.6% saved)

prune100.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Error

Counts

90 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(pow.f64 (.f64 b2 (/.f64 b1 (.f64 a1 a2))) -1)
▶	8.9b	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
	11.1b	(/.f64 (.f64 a1 a2) (.f64 b2 b1))
✓	10.8b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	11.4b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
	11.4b	(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
✓	8.7b	(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
	11.2b	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)

Compiler

Compiled 164 to 108 computations (34.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(/.f64 b2 (/.f64 a1 b1))
✓	5.7b	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

series5.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

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

rewrite51.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
180×	`log-div_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`
146×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	178	17
2	2745	17

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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

simplify26.0ms (0.8%)

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

180 → 99

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))

eval18.0ms (0.5%)

Compiler: Compiled 1191 to 383 computations (67.8% saved)

prune133.0ms (3.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	3	2	5
Picked	0	1	1
Done	1	1	2
Total	101	6	107

Error

Counts

107 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(pow.f64 (.f64 b2 (/.f64 b1 (.f64 a1 a2))) -1)
✓	8.9b	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
✓	10.8b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	11.4b	(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
	11.1b	(/.f64 (.f64 a1 a2) (.f64 b2 b1))
	12.5b	(/.f64 a2 (*.f64 (/.f64 b2 a1) b1))

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes423.0ms (12.3%)

Accuracy

Total -54.2b remaining (-2782.3%)

Threshold costs -54.2b (-2782.3%)

Counts

20 → 5

Calls

Call 1

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

Outputs
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(pow.f64 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))) -1)

Results

Time	Error	Segments	Branch
42.0ms	5.5b	4	`a1`
89.0ms	3.2b	8	`a2`
32.0ms	7.4b	2	`b1`
30.0ms	6.7b	3	`b2`
45.0ms	1.9b	5	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
55.0ms	2.8b	5	`(*.f64 a1 a2)`
49.0ms	2.8b	5	`(*.f64 a1 a2)`
38.0ms	2.6b	5	`(*.f64 b1 b2)`
38.0ms	2.6b	5	`(*.f64 b1 b2)`

Compiler

Compiled 229 to 105 computations (54.1% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Point		Range
0.0ms	2e+283	∈ [	1.9793939411435397e+283	,	#hash((type . real) (value . +inf))	]
0.0ms	-0.0	∈ [	-0.0	,	3.09479174567e-312	]
0.0ms	-5e-302	∈ [	-5.399274934533069e-302	,	-0.0	]
0.0ms	-5e+282	∈ [	-8.090653822811346e+282	,	-7.0313952304400664e+277	]

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	113
1	37	113

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552) (/.f64 a2 (/.f64 b2 (/.f64 a1 b1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -38605166112386824/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (pow.f64 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))) -1)))))

Outputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552) (/.f64 a2 (/.f64 b2 (/.f64 a1 b1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -38605166112386824/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208) (/.f64 (*.f64 a1 a2) (*.f64 b2 b1)) (pow.f64 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))) -1)))))

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552) (/.f64 a2 (/.f64 b2 (/.f64 a1 b1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (pow.f64 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))) -1)))))

end47.0ms (1.4%)

Stop Event

1×

fuel

Remove

(sort a1 a2)

Compiler

Compiled 648 to 224 computations (65.4% saved)

Details

analyze951.0ms (27.7%)

sample1.1s (33.1%)

preprocess20.0ms (0.6%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

series10.0ms (0.3%)

rewrite45.0ms (1.3%)

simplify20.0ms (0.6%)

eval14.0ms (0.4%)

prune57.0ms (1.7%)

localize8.0ms (0.2%)

series15.0ms (0.4%)

rewrite53.0ms (1.5%)

simplify29.0ms (0.9%)

eval18.0ms (0.5%)

prune121.0ms (3.5%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite52.0ms (1.5%)

simplify24.0ms (0.7%)

eval15.0ms (0.4%)

prune100.0ms (2.9%)

localize5.0ms (0.1%)

series5.0ms (0.2%)

rewrite51.0ms (1.5%)

simplify26.0ms (0.8%)

eval18.0ms (0.5%)

prune133.0ms (3.9%)

regimes423.0ms (12.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end47.0ms (1.4%)

Profiling