Metrics for Quotient of products

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze114.0ms (6.7%)

Memory

29.6MiB live, 159.0MiB allocated; 16ms 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)

sample825.0ms (48.7%)

Memory

15.2MiB live, 672.7MiB allocated; 657ms collecting garbage

Samples

596.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult!: 92.0ms (71.3% of total)

ival-div!: 36.0ms (27.9% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

explain129.0ms (7.6%)

Memory

-18.7MiB live, 73.2MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
40	-	4	(5.630767832385405e-254 5.103793126448058e-66 -4.627744550291125e-13 -2.163042589316391e-269)	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
0	-	0	-	`(*.f64 b1 b2)`
0	-	0	-	`(*.f64 a1 a2)`
0	-	0	-	`a1`
0	-	0	-	`b2`
0	-	0	-	`b1`
0	-	0	-	`a2`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	o/n	10	0
↳	`(*.f64 a1 a2)`	overflow	36
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	n/o	9	0
↳	`(*.f64 b1 b2)`	overflow	29
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	n/u	6	0
↳	`(*.f64 b1 b2)`	underflow	27
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	o/o	5	0
↳	`(*.f64 a1 a2)`	overflow	36
↳	`(*.f64 b1 b2)`	overflow	29
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	u/n	5	0
↳	`(*.f64 a1 a2)`	underflow	24
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	u/u	1	0
↳	`(*.f64 a1 a2)`	underflow	24
↳	`(*.f64 b1 b2)`	underflow	27

Confusion

	Predicted +	Predicted -
+	36	4
-	0	216

Precision

1.0

Recall

0.9

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	4
-	0	0	216

Precision?

1.0

Recall?

0.9

Freqs

test

number	freq
0	220
1	36

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult!: 56.0ms (95.6% of total)

ival-div!: 2.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

preprocess29.0ms (1.7%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	117	109
2	328	109
3	696	109
4	996	109
5	1875	109
6	1891	109

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(/.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)

series20.0ms (1.2%)

Memory

-31.5MiB live, 18.8MiB allocated; 6ms 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
6.0ms	a1	@	0	((/ (* a1 a2) (* b1 b2)) (* a1 a2) a1 a2 (* b1 b2) b1 b2)
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)

rewrite25.0ms (1.5%)

Memory

-8.9MiB live, 36.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	18	58
1	30	58
2	73	58
3	215	58
4	554	58
5	563	58
0	563	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 (/.f64 (neg.f64 a1) b1) b2) (neg.f64 a2))
(*.f64 (/.f64 (/.f64 (neg.f64 a2) b1) b2) (neg.f64 a1))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (neg.f64 a2) (/.f64 (/.f64 (neg.f64 a1) b1) b2))
(*.f64 (neg.f64 a1) (/.f64 (/.f64 (neg.f64 a2) b1) b2))
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(*.f64 a2 (/.f64 (/.f64 a1 b2) b1))
(*.f64 a1 (/.f64 (/.f64 a2 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 a2) a1) (.f64 (neg.f64 b2) b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 a1) b1) b2) a2))
(*.f64 (neg.f64 a2) (neg.f64 a1))
(*.f64 (neg.f64 a1) (neg.f64 a2))
(*.f64 a2 a1)
(*.f64 a1 a2)
(neg.f64 (*.f64 (neg.f64 a2) a1))
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 (/.f64 a1 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)

eval3.0ms (0.2%)

Memory: 5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 326 to 88 computations (73% saved)

prune4.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB 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
	84.5%	(/.f64 (*.f64 (/.f64 a1 b2) a2) b1)
▶	89.4%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	86.0%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
▶	91.7%	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
▶	82.0%	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
▶	98.6%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
▶	77.1%	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

Compiler

Compiled 91 to 91 computations (0% saved)

series22.0ms (1.3%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

16 → 16

Calls

Call 1

Inputs
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 a2 b2)
a2
b2
(/.f64 a1 b1)
a1
b1
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(/.f64 a2 b1)
(/.f64 a1 b2)
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(/.f64 (/.f64 a1 b2) b1)
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 (/.f64 a2 b2) b1)
(/.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 (* (/ a2 b1) (/ a1 b2)) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (/ a1 b2) #s(hole binary64 (/ a1 b2)))
#s(approx (* (/ (/ a1 b2) b1) a2) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (/ (/ a1 b2) b1) #s(hole binary64 (/ a1 (* b1 b2))))
#s(approx (* (/ (/ a2 b2) b1) a1) #s(hole binary64 (/ (* a1 a2) (* b1 b2))))
#s(approx (/ (* (/ a1 b1) a2) b2) #s(hole binary64 (/ (* a1 a2) (* b1 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 b1) #s(hole binary64 (/ a2 b1)))
#s(approx (/ (/ a2 b2) b1) #s(hole binary64 (/ a2 (* 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	a1	@	-inf	((* (/ a2 b2) (/ a1 b1)) (/ a2 b2) a2 b2 (/ a1 b1) a1 b1 (* (/ a2 b1) (/ a1 b2)) (/ a2 b1) (/ a1 b2) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2))
3.0ms	b1	@	-inf	((* (/ a2 b2) (/ a1 b1)) (/ a2 b2) a2 b2 (/ a1 b1) a1 b1 (* (/ a2 b1) (/ a1 b2)) (/ a2 b1) (/ a1 b2) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2))
2.0ms	a1	@	inf	((* (/ a2 b2) (/ a1 b1)) (/ a2 b2) a2 b2 (/ a1 b1) a1 b1 (* (/ a2 b1) (/ a1 b2)) (/ a2 b1) (/ a1 b2) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2))
2.0ms	a2	@	-inf	((* (/ a2 b2) (/ a1 b1)) (/ a2 b2) a2 b2 (/ a1 b1) a1 b1 (* (/ a2 b1) (/ a1 b2)) (/ a2 b1) (/ a1 b2) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2))
2.0ms	a1	@	0	((* (/ a2 b2) (/ a1 b1)) (/ a2 b2) a2 b2 (/ a1 b1) a1 b1 (* (/ a2 b1) (/ a1 b2)) (/ a2 b1) (/ a1 b2) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2))

rewrite37.0ms (2.2%)

Memory

-35.8MiB live, 10.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	214
0	65	214
1	113	214
2	250	214
3	548	214
4	558	214
0	558	214

Stop Event

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

Counts

32 → 172

Calls

Call 1

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

eval6.0ms (0.4%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 762 to 187 computations (75.5% saved)

prune7.0ms (0.4%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	84	7	91

Accuracy

100.0%

Counts

91 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
✓	89.4%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	86.0%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
✓	91.7%	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
✓	82.0%	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
✓	98.6%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
✓	77.1%	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

Compiler

Compiled 49 to 49 computations (0% saved)

series11.0ms (0.6%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

7 → 7

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite15.0ms (0.9%)

Memory

-30.9MiB live, 16.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
0	22	64
1	40	64
2	97	64
3	269	64
4	443	64
5	449	64
0	449	64

Stop Event

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

Counts

14 → 50

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 355 to 100 computations (71.8% saved)

prune4.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	41	7	48

Accuracy

100.0%

Counts

48 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.5%	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
✓	89.4%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	86.0%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
✓	91.7%	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
✓	82.0%	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
✓	98.6%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
✓	77.1%	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

Compiler

Compiled 105 to 72 computations (31.4% saved)

regimes25.0ms (1.5%)

Memory

-27.1MiB live, 35.9MiB allocated; 11ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	(*.f64 b1 b2)
3.0ms	b1
3.0ms	b2
3.0ms	a1
3.0ms	a2

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f64 b1 b2)`
98.6%	1	`(*.f64 a1 a2)`
98.6%	1	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
98.6%	1	`a1`
98.6%	1	`a2`
98.6%	1	`b1`
98.6%	1	`b2`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.4%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
77.1%	1	`b1`
77.1%	1	`b2`
77.1%	1	`(*.f64 b1 b2)`
77.1%	1	`(*.f64 a1 a2)`
77.1%	1	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
77.1%	1	`a1`
77.1%	1	`a2`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

derivations8.0ms (0.4%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess399.0ms (23.5%)

Memory

35.8MiB live, 499.2MiB allocated; 78ms collecting garbage

Remove

(sort a1 a2)

(negabs b2)

(negabs a2)

(negabs a1)

Compiler

Compiled 238 to 230 computations (3.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze114.0ms (6.7%)

sample825.0ms (48.7%)

explain129.0ms (7.6%)

preprocess29.0ms (1.7%)

series20.0ms (1.2%)

rewrite25.0ms (1.5%)

eval3.0ms (0.2%)

prune4.0ms (0.2%)

series22.0ms (1.3%)

rewrite37.0ms (2.2%)

eval6.0ms (0.4%)

prune7.0ms (0.4%)

series11.0ms (0.6%)

rewrite15.0ms (0.9%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

regimes25.0ms (1.5%)

regimes7.0ms (0.4%)

derivations8.0ms (0.4%)

preprocess399.0ms (23.5%)

end0.0ms (0%)

Profiling