Metrics for Quotient of products

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze132.0ms (5.6%)

Memory

8.8MiB live, 145.0MiB allocated; 29ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
25%	25%	74.9%	0.2%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	12

Compiler

Compiled 9 to 9 computations (0% saved)

sample857.0ms (36.4%)

Memory

36.5MiB live, 728.9MiB allocated; 253ms collecting garbage

Samples

495.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult!: 126.0ms (52.1% of total)

ival-div!: 114.0ms (47.2% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess44.0ms (1.8%)

Memory

-24.9MiB live, 24.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	149	109
2	420	109
3	1210	109
4	1699	109
5	1708	109

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.6%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Symmetry

(negabs a1)

(negabs a2)

(negabs b1)

(negabs b2)

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 14 to 14 computations (0% saved)

series15.0ms (0.6%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

7 → 7

Calls

Call 1

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

Outputs
#s(approx (/ (* a1 a2) (* b1 b2)) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (* a1 a2) #s(hole binary64 (* a1 a2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* b1 b2) #s(hole binary64 (* b1 b2)))
#s(approx b1 #s(hole binary64 b1))
#s(approx b2 #s(hole binary64 b2))

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b2	@	-inf	((/ (* a1 a2) (* b1 b2)) (* a1 a2) a1 a2 (* b1 b2) b1 b2)
2.0ms	a2	@	inf	((/ (* a1 a2) (* b1 b2)) (* a1 a2) a1 a2 (* b1 b2) b1 b2)
2.0ms	a1	@	inf	((/ (* a1 a2) (* b1 b2)) (* a1 a2) a1 a2 (* b1 b2) b1 b2)
1.0ms	a1	@	-inf	((/ (* a1 a2) (* b1 b2)) (* a1 a2) a1 a2 (* b1 b2) b1 b2)
1.0ms	a2	@	-inf	((/ (* a1 a2) (* b1 b2)) (* a1 a2) a1 a2 (* b1 b2) b1 b2)

rewrite18.0ms (0.8%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	18	58
1	30	58
2	73	58
3	213	58
4	478	58
5	487	58
0	487	58

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

14 → 44

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 a1 a2)
a1
a2
(*.f64 b1 b2)
b1
b2
#s(approx (/ (* a1 a2) (* b1 b2)) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (* a1 a2) #s(hole binary64 (* a1 a2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* b1 b2) #s(hole binary64 (* b1 b2)))
#s(approx b1 #s(hole binary64 b1))
#s(approx b2 #s(hole binary64 b2))

Outputs
(.f64 (/.f64 (neg.f64 a1) (.f64 b2 b1)) (neg.f64 a2))
(.f64 (/.f64 (neg.f64 a2) (.f64 b2 b1)) (neg.f64 a1))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(.f64 (/.f64 a1 (.f64 b2 b1)) a2)
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 (neg.f64 a1) (/.f64 (neg.f64 a2) (.f64 b2 b1)))
(.f64 (neg.f64 a2) (/.f64 (neg.f64 a1) (.f64 b2 b1)))
(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (*.f64 (/.f64 (neg.f64 a1) b2) a2) (neg.f64 b1))
(/.f64 (*.f64 (/.f64 a1 b2) a2) b1)
(/.f64 (*.f64 (/.f64 (neg.f64 a1) b1) a2) (neg.f64 b2))
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(/.f64 (.f64 (neg.f64 a1) a2) (.f64 (neg.f64 b2) b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(neg.f64 (.f64 (/.f64 a1 (.f64 b2 b1)) (neg.f64 a2)))
(*.f64 (neg.f64 a1) (neg.f64 a2))
(*.f64 (neg.f64 a2) (neg.f64 a1))
(*.f64 a2 a1)
(*.f64 a1 a2)
(neg.f64 (*.f64 (neg.f64 a1) a2))
a1
a2
(*.f64 (neg.f64 b2) (neg.f64 b1))
(*.f64 (neg.f64 b1) (neg.f64 b2))
(*.f64 b2 b1)
(*.f64 b1 b2)
(neg.f64 (*.f64 (neg.f64 b2) b1))
b1
b2
#s(approx (/ (* a1 a2) (* b1 b2)) (.f64 (/.f64 a1 (.f64 b2 b1)) a2))
#s(approx (* a1 a2) (*.f64 a2 a1))
#s(approx a1 a1)
#s(approx a2 a2)
#s(approx (* b1 b2) (*.f64 b2 b1))
#s(approx b1 b1)
#s(approx b2 b2)

eval6.0ms (0.2%)

Memory: -41.7MiB live, 4.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 154 to 88 computations (42.9% saved)

prune4.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Accuracy

100.0%

Counts

39 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.9%	(/.f64 (*.f64 (/.f64 a1 b2) a2) b1)
▶	91.7%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	86.6%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
▶	82.8%	(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
▶	98.5%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
▶	74.3%	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
▶	87.2%	(.f64 (/.f64 a1 (.f64 b2 b1)) a2)

Compiler

Compiled 91 to 91 computations (0% saved)

series23.0ms (1%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

17 → 13

Calls

Call 1

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

Outputs
#s(approx (* (/ a2 b2) (/ a1 b1)) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (/ a1 b1) #s(hole binary64 (/ a1 b1)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ a1 (* b2 b1)) #s(hole binary64 (/ a1 (* b1 b2))))
#s(approx (/ a1 b2) #s(hole binary64 (/ a1 b2)))
#s(approx (* (/ a1 b1) a2) #s(hole binary64 (/ (* a1 a2) b1)))
#s(approx (/ a2 b2) #s(hole binary64 (/ a2 b2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ a2 (* b2 b1)) #s(hole binary64 (/ a2 (* b1 b2))))
#s(approx (/ a2 b1) #s(hole binary64 (/ a2 b1)))
#s(approx b1 #s(hole binary64 b1))
#s(approx (* b2 b1) #s(hole binary64 (* b1 b2)))
#s(approx b2 #s(hole binary64 b2))

Calls

12 calls:

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

rewrite17.0ms (0.7%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	164
0	61	164
1	108	164
2	222	164
3	504	164
4	518	164
0	518	164

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

30 → 174

Calls

Call 1

Inputs
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 a2 b2)
a2
b2
(/.f64 a1 b1)
a1
b1
(.f64 (/.f64 a1 (.f64 b2 b1)) a2)
(/.f64 a1 (*.f64 b2 b1))
(*.f64 b2 b1)
(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
(/.f64 a2 (*.f64 b2 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(/.f64 a2 b1)
(/.f64 a1 b2)
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(*.f64 (/.f64 a1 b1) a2)
#s(approx (* (/ a2 b2) (/ a1 b1)) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (/ a1 b1) #s(hole binary64 (/ a1 b1)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ a1 (* b2 b1)) #s(hole binary64 (/ a1 (* b1 b2))))
#s(approx (/ a1 b2) #s(hole binary64 (/ a1 b2)))
#s(approx (* (/ a1 b1) a2) #s(hole binary64 (/ (* a1 a2) b1)))
#s(approx (/ a2 b2) #s(hole binary64 (/ a2 b2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ a2 (* b2 b1)) #s(hole binary64 (/ a2 (* b1 b2))))
#s(approx (/ a2 b1) #s(hole binary64 (/ a2 b1)))
#s(approx b1 #s(hole binary64 b1))
#s(approx (* b2 b1) #s(hole binary64 (* b1 b2)))
#s(approx b2 #s(hole binary64 b2))

Outputs
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) (neg.f64 a2))
(.f64 (/.f64 a2 (.f64 (neg.f64 b2) b1)) (neg.f64 a1))
(.f64 (neg.f64 a2) (/.f64 a1 (.f64 (neg.f64 b2) b1)))
(.f64 (neg.f64 a1) (/.f64 a2 (.f64 (neg.f64 b2) b1)))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b2) (neg.f64 b1))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
(/.f64 (.f64 (neg.f64 a2) a1) (.f64 (neg.f64 b2) b1))
(/.f64 (*.f64 (/.f64 (neg.f64 a2) b1) a1) (neg.f64 b2))
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
(neg.f64 (.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) a2))
(/.f64 (neg.f64 a2) (neg.f64 b2))
(/.f64 a2 b2)
(neg.f64 (/.f64 (neg.f64 a2) b2))
a2
b2
(/.f64 (neg.f64 a1) (neg.f64 b1))
(/.f64 a1 b1)
(neg.f64 (/.f64 (neg.f64 a1) b1))
a1
b1
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) (neg.f64 a2))
(.f64 (/.f64 a2 (.f64 (neg.f64 b2) b1)) (neg.f64 a1))
(.f64 (neg.f64 a2) (/.f64 a1 (.f64 (neg.f64 b2) b1)))
(.f64 (neg.f64 a1) (/.f64 a2 (.f64 (neg.f64 b2) b1)))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b2) (neg.f64 b1))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
(/.f64 (.f64 (neg.f64 a2) a1) (.f64 (neg.f64 b2) b1))
(/.f64 (*.f64 (/.f64 (neg.f64 a2) b1) a1) (neg.f64 b2))
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
(neg.f64 (.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) a2))
(/.f64 (/.f64 (neg.f64 a1) b1) (neg.f64 b2))
(/.f64 (/.f64 (neg.f64 a1) b2) (neg.f64 b1))
(/.f64 (neg.f64 a1) (*.f64 (neg.f64 b2) b1))
(/.f64 (/.f64 a1 b2) b1)
(/.f64 (/.f64 a1 b1) b2)
(/.f64 a1 (*.f64 b1 b2))
(neg.f64 (/.f64 a1 (*.f64 (neg.f64 b2) b1)))
(*.f64 (neg.f64 b1) (neg.f64 b2))
(*.f64 (neg.f64 b2) (neg.f64 b1))
(*.f64 b1 b2)
(*.f64 b2 b1)
(neg.f64 (*.f64 (neg.f64 b2) b1))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) (neg.f64 a2))
(.f64 (/.f64 a2 (.f64 (neg.f64 b2) b1)) (neg.f64 a1))
(.f64 (neg.f64 a2) (/.f64 a1 (.f64 (neg.f64 b2) b1)))
(.f64 (neg.f64 a1) (/.f64 a2 (.f64 (neg.f64 b2) b1)))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b2) (neg.f64 b1))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
(/.f64 (.f64 (neg.f64 a2) a1) (.f64 (neg.f64 b2) b1))
(/.f64 (*.f64 (/.f64 (neg.f64 a2) b1) a1) (neg.f64 b2))
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
(neg.f64 (.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) a2))
(/.f64 (/.f64 (neg.f64 a2) b1) (neg.f64 b2))
(/.f64 (/.f64 (neg.f64 a2) b2) (neg.f64 b1))
(/.f64 (neg.f64 a2) (*.f64 (neg.f64 b2) b1))
(/.f64 (/.f64 a2 b2) b1)
(/.f64 (/.f64 a2 b1) b2)
(/.f64 a2 (*.f64 b1 b2))
(neg.f64 (/.f64 a2 (*.f64 (neg.f64 b2) b1)))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) (neg.f64 a2))
(.f64 (/.f64 a2 (.f64 (neg.f64 b2) b1)) (neg.f64 a1))
(.f64 (neg.f64 a2) (/.f64 a1 (.f64 (neg.f64 b2) b1)))
(.f64 (neg.f64 a1) (/.f64 a2 (.f64 (neg.f64 b2) b1)))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b2) (neg.f64 b1))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
(/.f64 (.f64 (neg.f64 a2) a1) (.f64 (neg.f64 b2) b1))
(/.f64 (*.f64 (/.f64 (neg.f64 a2) b1) a1) (neg.f64 b2))
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
(neg.f64 (.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) a2))
(/.f64 (neg.f64 a2) (neg.f64 b1))
(/.f64 a2 b1)
(neg.f64 (/.f64 (neg.f64 a2) b1))
(/.f64 (neg.f64 a1) (neg.f64 b2))
(/.f64 a1 b2)
(neg.f64 (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) (neg.f64 a2))
(.f64 (/.f64 a2 (.f64 (neg.f64 b2) b1)) (neg.f64 a1))
(.f64 (neg.f64 a2) (/.f64 a1 (.f64 (neg.f64 b2) b1)))
(.f64 (neg.f64 a1) (/.f64 a2 (.f64 (neg.f64 b2) b1)))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b2) (neg.f64 b1))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
(/.f64 (.f64 (neg.f64 a2) a1) (.f64 (neg.f64 b2) b1))
(/.f64 (*.f64 (/.f64 (neg.f64 a2) b1) a1) (neg.f64 b2))
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
(neg.f64 (.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) a2))
(*.f64 (/.f64 (neg.f64 a2) b1) (neg.f64 a1))
(*.f64 (/.f64 (neg.f64 a1) b1) (neg.f64 a2))
(*.f64 (neg.f64 a2) (/.f64 (neg.f64 a1) b1))
(*.f64 (neg.f64 a1) (/.f64 (neg.f64 a2) b1))
(*.f64 (/.f64 a2 b1) a1)
(*.f64 (/.f64 a1 b1) a2)
(*.f64 a1 (/.f64 a2 b1))
(*.f64 a2 (/.f64 a1 b1))
(/.f64 (*.f64 a1 a2) b1)
(/.f64 (*.f64 (neg.f64 a2) a1) (neg.f64 b1))
(neg.f64 (*.f64 (/.f64 (neg.f64 a2) b1) a1))
#s(approx (* (/ a2 b2) (/ a1 b1)) (.f64 (/.f64 a1 (.f64 b1 b2)) a2))
#s(approx (/ a1 b1) (/.f64 a1 b1))
#s(approx a1 a1)
#s(approx (/ a1 (* b2 b1)) (/.f64 a1 (*.f64 b1 b2)))
#s(approx (/ a1 b2) (/.f64 a1 b2))
#s(approx (* (/ a1 b1) a2) (*.f64 (/.f64 a2 b1) a1))
#s(approx (/ a2 b2) (/.f64 a2 b2))
#s(approx a2 a2)
#s(approx (/ a2 (* b2 b1)) (/.f64 a2 (*.f64 b1 b2)))
#s(approx (/ a2 b1) (/.f64 a2 b1))
#s(approx b1 b1)
#s(approx (* b2 b1) (*.f64 b1 b2))
#s(approx b2 b2)

eval29.0ms (1.2%)

Memory: -37.2MiB live, 9.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 395 to 204 computations (48.4% saved)

prune5.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	93	7	100

Accuracy

100.0%

Counts

100 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
✓	91.7%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	86.6%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
✓	82.8%	(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
✓	98.5%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
✓	74.3%	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
✓	87.2%	(.f64 (/.f64 a1 (.f64 b2 b1)) a2)

Compiler

Compiled 49 to 49 computations (0% saved)

series11.0ms (0.5%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

7 → 7

Calls

Call 1

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

Outputs
#s(approx (/ (* (/ a2 b2) a1) b1) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (* (/ a2 b2) a1) #s(hole binary64 (/ (* a1 a2) b2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ a2 b2) #s(hole binary64 (/ a2 b2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx b1 #s(hole binary64 b1))
#s(approx b2 #s(hole binary64 b2))

Calls

12 calls:

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

rewrite13.0ms (0.6%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
0	25	64
1	47	64
2	115	64
3	301	64
4	391	64
0	391	64

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

14 → 48

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
(*.f64 (/.f64 a2 b2) a1)
(/.f64 a2 b2)
a2
b2
a1
b1
#s(approx (/ (* (/ a2 b2) a1) b1) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (* (/ a2 b2) a1) #s(hole binary64 (/ (* a1 a2) b2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ a2 b2) #s(hole binary64 (/ a2 b2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx b1 #s(hole binary64 b1))
#s(approx b2 #s(hole binary64 b2))

Outputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(.f64 (/.f64 a1 (.f64 (neg.f64 b2) b1)) (neg.f64 a2))
(.f64 (/.f64 a2 (.f64 (neg.f64 b2) b1)) (neg.f64 a1))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 (neg.f64 a1) (/.f64 a2 (.f64 (neg.f64 b2) b1)))
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 (neg.f64 a2) (/.f64 a1 (.f64 (neg.f64 b2) b1)))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b1) (neg.f64 b2))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b2) (neg.f64 b1))
(/.f64 (.f64 (neg.f64 a2) a1) (.f64 (neg.f64 b2) b1))
(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
(neg.f64 (.f64 (/.f64 a1 (.f64 b1 b2)) (neg.f64 a2)))
(*.f64 (/.f64 (neg.f64 a1) b2) (neg.f64 a2))
(*.f64 (/.f64 (neg.f64 a2) b2) (neg.f64 a1))
(*.f64 (/.f64 a1 b2) a2)
(*.f64 (neg.f64 a1) (/.f64 (neg.f64 a2) b2))
(*.f64 (neg.f64 a2) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 a2 b2) a1)
(*.f64 a1 (/.f64 a2 b2))
(*.f64 a2 (/.f64 a1 b2))
(/.f64 (*.f64 a1 a2) b2)
(/.f64 (*.f64 (neg.f64 a2) a1) (neg.f64 b2))
(neg.f64 (/.f64 (*.f64 (neg.f64 a2) a1) b2))
(/.f64 (neg.f64 a2) (neg.f64 b2))
(/.f64 a2 b2)
(neg.f64 (/.f64 (neg.f64 a2) b2))
a2
b2
a1
b1
#s(approx (/ (* (/ a2 b2) a1) b1) (.f64 (/.f64 a1 (.f64 b1 b2)) a2))
#s(approx (* (/ a2 b2) a1) (*.f64 (/.f64 a2 b2) a1))
#s(approx a1 a1)
#s(approx (/ a2 b2) (/.f64 a2 b2))
#s(approx a2 a2)
#s(approx b1 b1)
#s(approx b2 b2)

eval20.0ms (0.9%)

Memory: -36.8MiB live, 5.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 167 to 94 computations (43.7% saved)

prune3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	37	7	44

Accuracy

100.0%

Counts

44 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(/.f64 (*.f64 (/.f64 a2 b2) a1) b1)
✓	91.7%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	86.6%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
✓	82.8%	(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
✓	98.5%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
✓	74.3%	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
✓	87.2%	(.f64 (/.f64 a1 (.f64 b2 b1)) a2)

Compiler

Compiled 77 to 73 computations (5.2% saved)

regimes19.0ms (0.8%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	a2
3.0ms	b1
3.0ms	a1
3.0ms	b2
3.0ms	(*.f64 a1 a2)

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f64 b1 b2)`
98.5%	1	`(*.f64 a1 a2)`
98.5%	1	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
98.5%	1	`a1`
98.5%	1	`a2`
98.5%	1	`b1`
98.5%	1	`b2`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes29.0ms (1.2%)

Memory

-29.9MiB live, 19.6MiB allocated; 14ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

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

Calls

7 calls:

18.0ms	(*.f64 b1 b2)
2.0ms	b2
2.0ms	a1
2.0ms	a2
2.0ms	b1

Results

Accuracy	Segments	Branch
96.8%	4	`(*.f64 b1 b2)`
94.0%	3	`(*.f64 a1 a2)`
95.0%	3	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
90.4%	2	`a1`
90.1%	2	`a2`
92.8%	3	`b1`
92.0%	3	`b2`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes6.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	b1
1.0ms	(*.f64 b1 b2)
1.0ms	(*.f64 a1 a2)
1.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Results

Accuracy	Segments	Branch
91.0%	2	`b1`
91.3%	3	`(*.f64 a1 a2)`
91.2%	2	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
91.2%	2	`(*.f64 b1 b2)`

Compiler

Compiled 14 to 21 computations (-50% saved)

regimes7.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	a1
1.0ms	a2
1.0ms	b1
1.0ms	b2
1.0ms	(*.f64 b1 b2)

Results

Accuracy	Segments	Branch
87.2%	1	`(*.f64 a1 a2)`
87.2%	1	`a2`
87.2%	1	`a1`
87.2%	1	`b2`
87.2%	1	`b1`
87.2%	1	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
87.2%	1	`(*.f64 b1 b2)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1850381109821807e+304	9.232407498086275e+306
0.0ms	1.7592152158404559e-38	5.142839785141106e-37
0.0ms	9.322131703744063e-309	3.346492316664232e-305

Compiler

Compiled 10 to 14 computations (-40% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7592152158404559e-38	5.142839785141106e-37

Compiler

Compiled 10 to 14 computations (-40% saved)

derivations12.0ms (0.5%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 29 to 26 computations (10.3% saved)

preprocess1.1s (46.1%)

Memory

-2.5MiB live, 1 141.4MiB allocated; 240ms collecting garbage

Remove

(sort b1 b2)

(negabs b2)

(negabs b1)

(negabs a2)

Compiler

Compiled 1 053 to 1 006 computations (4.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze132.0ms (5.6%)

sample857.0ms (36.4%)

preprocess44.0ms (1.8%)

series15.0ms (0.6%)

rewrite18.0ms (0.8%)

eval6.0ms (0.2%)

prune4.0ms (0.2%)

series23.0ms (1%)

rewrite17.0ms (0.7%)

eval29.0ms (1.2%)

prune5.0ms (0.2%)

series11.0ms (0.5%)

rewrite13.0ms (0.6%)

eval20.0ms (0.9%)

prune3.0ms (0.1%)

regimes19.0ms (0.8%)

regimes29.0ms (1.2%)

regimes6.0ms (0.3%)

regimes7.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations12.0ms (0.5%)

preprocess1.1s (46.1%)

end0.0ms (0%)

Profiling