Metrics for Complex division, imag part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (1.7%)

Memory

-13.4MiB live, 25.6MiB allocated

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
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample904.0ms (62.1%)

Memory

8.4MiB live, 1 154.1MiB allocated

Samples

599.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-mult: 239.0ms (63.1% of total)

ival-div: 53.0ms (14% of total)

ival-sub: 42.0ms (11.1% of total)

ival-add: 34.0ms (9% of total)

ival-true: 7.0ms (1.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain128.0ms (8.8%)

Memory

16.2MiB live, 170.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
109	-	-	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
3	-	-	`(-.f64 (.f64 b c) (.f64 a d))`
0	-	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	-	`a`
0	-	-	`d`
0	-	-	`(*.f64 d d)`
0	-	-	`(*.f64 c c)`
0	-	-	`(*.f64 b c)`
0	-	-	`c`
0	-	-	`(*.f64 a d)`
0	-	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	58	0
↳	`(*.f64 b c)`	overflow	41
↳	`(-.f64 (.f64 b c) (.f64 a d))`	overflow	66
↳	`(*.f64 a d)`	overflow	34
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	127
↳	`(*.f64 c c)`	overflow	79
↳	`(*.f64 d d)`	overflow	70
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	32	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	127
↳	`(*.f64 c c)`	overflow	79
↳	`(*.f64 d d)`	overflow	70
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	8	0
↳	`(*.f64 b c)`	overflow	41
↳	`(-.f64 (.f64 b c) (.f64 a d))`	overflow	66
↳	`(*.f64 a d)`	overflow	34
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	6	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	15
↳	`(*.f64 c c)`	underflow	54
↳	`(*.f64 d d)`	underflow	54
`-.f64`	`(-.f64 (.f64 b c) (.f64 a d))`	nan-rescue	3	0
↳	`(*.f64 b c)`	overflow	41
↳	`(*.f64 a d)`	overflow	34
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	3	0
↳	`(*.f64 b c)`	underflow	22
↳	`(-.f64 (.f64 b c) (.f64 a d))`	underflow	5
↳	`(*.f64 a d)`	underflow	30
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	15
↳	`(*.f64 c c)`	underflow	54
↳	`(*.f64 d d)`	underflow	54
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	2	0
↳	`(*.f64 b c)`	underflow	22
↳	`(-.f64 (.f64 b c) (.f64 a d))`	underflow	5
↳	`(*.f64 a d)`	underflow	30

Confusion

	Predicted +	Predicted -
+	109	0
-	0	147

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	0
-	0	0	147

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	147
1	106
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 20.0ms (71.2% of total)

ival-div: 3.0ms (10.7% of total)

ival-sub: 2.0ms (7.1% of total)

ival-add: 2.0ms (7.1% of total)

ival-true: 1.0ms (3.6% of total)

ival-assert: 0.0ms (0% of total)

preprocess4.0ms (0.3%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 a d)
cost-diff	0	(*.f64 b c)
cost-diff	0	(-.f64 (.f64 b c) (.f64 a d))
cost-diff	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)

Outputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)

localize34.0ms (2.4%)

Memory

4.3MiB live, 40.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a d)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.6992146216604117	(-.f64 (.f64 b c) (.f64 a d))
accuracy	25.760275984917705	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

20.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (57.1% of total)

ival-sub: 1.0ms (9.5% of total)

ival-div: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series20.0ms (1.3%)

Memory

-11.4MiB live, 25.9MiB allocated

Counts

5 → 45

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
(*.f64 a d)
(+.f64 (.f64 c c) (.f64 d d))

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d)))
2.0ms	d	@	inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d)))
2.0ms	b	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d)))
1.0ms	a	@	0	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d)))
1.0ms	c	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d)))

simplify1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

45 → 5

Calls

Call 1

Inputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (.f64 b c) (.f64 a d))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(*.f64 a d)
(* a d)
(+.f64 (.f64 c c) (.f64 d d))

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
(*.f64 a d)
(+.f64 (.f64 c c) (.f64 d d))

Outputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
(*.f64 a d)
(+.f64 (.f64 c c) (.f64 d d))

eval1.0ms (0.1%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 190 to 27 computations (85.8% saved)

prune2.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	6	4	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	5	11

Accuracy

60.3%

Counts

11 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	11.1%	(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
▶	39.1%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	19.9%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	3.8%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))

Compiler

Compiled 99 to 64 computations (35.4% saved)

simplify1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))
cost-diff	0	(*.f64 b c)
cost-diff	0	(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
cost-diff	0	(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
cost-diff	0	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	0	(*.f64 b c)
cost-diff	0	#s(approx (- (* b c) (* a d)) (*.f64 b c))
cost-diff	0	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
cost-diff	0	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	0	(*.f64 a d)
cost-diff	0	#s(approx (- (* b c) (* a d)) (*.f64 a d))
cost-diff	0	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
cost-diff	0	(*.f64 a d)
cost-diff	0	(*.f64 b c)
cost-diff	0	(-.f64 (.f64 b c) (.f64 a d))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(*.f64 a d)
a
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(*.f64 b c)
b
c
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
d
(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
(*.f64 b c)
b
c
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
d

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(*.f64 a d)
a
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(*.f64 b c)
b
c
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
d
(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
(*.f64 b c)
b
c
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
d

localize46.0ms (3.1%)

Memory

-15.2MiB live, 70.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.6992146216604117	(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
accuracy	25.760275984917705	(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
accuracy	56.383774088543646	#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))
accuracy	0.0	(*.f64 b c)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	25.760275984917705	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	28.800248239553934	#s(approx (- (* b c) (* a d)) (*.f64 b c))
accuracy	0.0	(*.f64 a d)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	25.760275984917705	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	61.410189907574996	#s(approx (- (* b c) (* a d)) (*.f64 a d))
accuracy	0.0	(*.f64 b c)
accuracy	0.0	(*.f64 a d)
accuracy	0.6992146216604117	(-.f64 (.f64 b c) (.f64 a d))
accuracy	61.55832403418052	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))

Samples

32.0ms

256×

valid

Compiler

Compiled 366 to 38 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (73.9% of total)

ival-div: 2.0ms (13.4% of total)

ival-sub: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series9.0ms (0.7%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

12 → 45

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
(*.f64 a d)
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(+.f64 (.f64 c c) (.f64 d d))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d))
1.0ms	c	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d))
1.0ms	a	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d))
1.0ms	d	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d))
1.0ms	a	@	0	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d))

simplify4.0ms (0.3%)

Memory

-36.9MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

45 → 12

Calls

Call 1

Inputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (.f64 b c) (.f64 a d))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(*.f64 a d)
(* a d)
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(+.f64 (.f64 c c) (.f64 d d))
(* -1 (* a d))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
(* a (- (/ (* b c) a) d))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
(- (* b c) (* a d))
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

rewrite1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

12 → 12

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
(*.f64 a d)
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(+.f64 (.f64 c c) (.f64 d d))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
(-.f64 (.f64 b c) (.f64 a d))
(*.f64 b c)
(*.f64 a d)
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(+.f64 (.f64 c c) (.f64 d d))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

eval2.0ms (0.2%)

Memory: 4.6MiB live, 4.6MiB allocated
Compiler: Compiled 760 to 43 computations (94.3% saved)

prune4.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	24	9	33

Accuracy

60.5%

Counts

33 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	11.1%	(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
✓	39.1%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	19.9%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	3.8%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
▶	2.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
▶	2.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
▶	4.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
▶	4.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

Compiler

Compiled 215 to 126 computations (41.4% saved)

simplify1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 d d)
cost-diff	0	(*.f64 c c)
cost-diff	0	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
cost-diff	0	(*.f64 b c)
cost-diff	0	(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
cost-diff	0	#s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
cost-diff	0	(*.f64 b c)
cost-diff	0	#s(approx (- (* b c) (* a d)) (*.f64 b c))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
cost-diff	0	(*.f64 a d)
cost-diff	0	#s(approx (- (* b c) (* a d)) (*.f64 a d))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(*.f64 a d)
a
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(*.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
#s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
(*.f64 b c)
b
c
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
d

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(*.f64 a d)
a
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(*.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
#s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
(*.f64 b c)
b
c
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
d

localize37.0ms (2.6%)

Memory

8.4MiB live, 46.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 d d)
accuracy	0.0	(*.f64 c c)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	62.55995142458805	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.6992146216604117	(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
accuracy	56.383774088543646	#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))
accuracy	61.55832403418052	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
accuracy	0.0	(*.f64 b c)
accuracy	28.800248239553934	#s(approx (- (* b c) (* a d)) (*.f64 b c))
accuracy	61.55832403418052	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
accuracy	0.0	(*.f64 a d)
accuracy	61.410189907574996	#s(approx (- (* b c) (* a d)) (*.f64 a d))
accuracy	61.55832403418052	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

Samples

26.0ms

256×

valid

Compiler

Compiled 368 to 38 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (66.3% of total)

ival-sub: 1.0ms (9.5% of total)

ival-div: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series10.0ms (0.7%)

Memory

15.5MiB live, 15.4MiB allocated

Counts

14 → 45

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(*.f64 a d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(*.f64 b c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
#s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(pow c 2)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* c c) (* d d) (* a d))
1.0ms	d	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* c c) (* d d) (* a d))
1.0ms	d	@	inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* c c) (* d d) (* a d))
1.0ms	a	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* c c) (* d d) (* a d))
1.0ms	c	@	inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (- (* b c) (* a d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* c c) (* d d) (* a d))

simplify1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

45 → 14

Calls

Call 1

Inputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(pow c 2)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(* b c)
(*.f64 a d)
(+ (* -1 (* a d)) (* b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
(* a d)
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 b c)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
(* -1 (* a d))
#s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))))
(* a (- (/ (* b c) a) d))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(+.f64 (.f64 c c) (.f64 d d))
(- (* b c) (* a d))
(*.f64 c c)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 d d)
(* b (+ c (* -1 (/ (* a d) b))))
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

rewrite1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

14 → 14

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(*.f64 a d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(*.f64 b c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
#s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (- (* b c) (* a d)) (*.f64 a d))
(*.f64 a d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (- (* b c) (* a d)) (*.f64 b c))
(*.f64 b c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
#s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))))
(-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)
#s(approx (* a d) (+.f64 (.f64 c c) (.f64 d d)))

eval6.0ms (0.4%)

Memory: -33.1MiB live, 5.0MiB allocated
Compiler: Compiled 971 to 43 computations (95.6% saved)

prune5.0ms (0.4%)

Memory

8.7MiB live, 8.7MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	27	11	38

Accuracy

60.6%

Counts

38 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	11.1%	(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
✓	39.1%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	19.9%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	3.8%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
✓	2.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
▶	6.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
✓	2.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
▶	4.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
✓	4.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
✓	4.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

Compiler

Compiled 261 to 153 computations (41.4% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 d d)
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
cost-diff	0	(*.f64 c c)
cost-diff	0	#s(approx (- (* b c) (* a d)) (*.f64 c c))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(*.f64 d d)
d

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(*.f64 d d)
d

localize37.0ms (2.6%)

Memory

-47.1MiB live, 31.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 d d)
accuracy	60.16726351560913	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
accuracy	0.0	(*.f64 c c)
accuracy	57.058678995640584	#s(approx (- (* b c) (* a d)) (*.f64 c c))
accuracy	61.55832403418052	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))

Samples

19.0ms

256×

valid

Compiler

Compiled 112 to 29 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (57.1% of total)

ival-sub: 1.0ms (9.5% of total)

ival-div: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.5%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 41

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(*.f64 d d)

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow c 2)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(pow d 2)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* d d))
1.0ms	d	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* d d))
1.0ms	a	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* d d))
1.0ms	d	@	inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* d d))
1.0ms	b	@	-inf	((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* d d))

simplify1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Counts

41 → 5

Calls

Call 1

Inputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(- (* b c) (* a d))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ c (* -1 (/ (* a d) b))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(pow c 2)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* c (+ b (* -1 (/ (* a d) c))))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(pow d 2)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* d (- (/ (* b c) d) a))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))

Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
#s(approx (- (* b c) (* a d)) (*.f64 c c))
(* b c)
(*.f64 c c)
(+ (* -1 (* a d)) (* b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 d d)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(*.f64 d d)

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(*.f64 d d)

eval1.0ms (0.1%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 205 to 19 computations (90.7% saved)

prune5.0ms (0.4%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	7	11	18

Accuracy

60.6%

Counts

18 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	11.1%	(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))
✓	39.1%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	19.9%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	3.8%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
✓	2.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
✓	6.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
✓	2.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
✓	4.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
✓	4.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
✓	4.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

Compiler

Compiled 522 to 187 computations (64.2% saved)

regimes24.0ms (1.7%)

Memory

-0.7MiB live, 36.9MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Calls

5 calls:

7.0ms	c
4.0ms	d
4.0ms	b
4.0ms	a
4.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
59.3%	1	`a`
59.3%	1	`b`
59.3%	1	`c`
59.3%	1	`d`
59.3%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes20.0ms (1.3%)

Memory

-0.1MiB live, 38.9MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))

Outputs
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))

Calls

5 calls:

5.0ms	c
4.0ms	a
3.0ms	b
3.0ms	d
3.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
39.1%	1	`d`
39.1%	1	`b`
39.1%	1	`c`
39.1%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
39.1%	1	`a`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes17.0ms (1.2%)

Memory

-2.1MiB live, 37.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))

Outputs
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))

Calls

5 calls:

4.0ms	b
3.0ms	c
3.0ms	d
3.0ms	a
3.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
19.9%	1	`a`
19.9%	1	`d`
19.9%	1	`b`
19.9%	1	`c`
19.9%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes16.0ms (1.1%)

Memory

-12.3MiB live, 31.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (.f64 b c) (.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (-.f64 (.f64 b c) #s(approx ( a d) (+.f64 (.f64 c c) (.f64 d d))))))

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))

Calls

5 calls:

4.0ms	d
3.0ms	b
3.0ms	c
3.0ms	a
3.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
6.0%	1	`b`
6.0%	1	`d`
6.0%	1	`c`
6.0%	1	`a`
6.0%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes9.0ms (0.6%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))

#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c)))

Calls

5 calls:

2.0ms	c
2.0ms	a
2.0ms	b
2.0ms	d
2.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
4.7%	1	`d`
4.7%	1	`a`
6.5%	2	`c`
4.7%	1	`b`
4.7%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes8.0ms (0.6%)

Memory

-25.2MiB live, 14.4MiB allocated

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 b c)))

Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

Calls

5 calls:

2.0ms	b
1.0ms	c
1.0ms	d
1.0ms	a
1.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
4.6%	1	`b`
4.6%	1	`d`
4.6%	1	`a`
4.6%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
4.6%	1	`c`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch17.0ms (1.2%)

Memory

23.3MiB live, 23.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.832453680024499e+107	-2.276732189747335e+101

Samples

10.0ms

144×

valid

Compiler

Compiled 504 to 288 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (67.9% of total)

ival-sub: 1.0ms (17% of total)

ival-div: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify5.0ms (0.3%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(if (<=.f64 c #s(literal -42000000000000003263327066623490596715516503484791441111337112716199323235536979866592698974757176999936 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (.f64 a d))) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

Outputs
(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d d))
(if (<=.f64 c #s(literal -42000000000000003263327066623490596715516503484791441111337112716199323235536979866592698974757176999936 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (.f64 a d))) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (- (* b c) (* a d)) (*.f64 a d)))

soundness1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Stop Event

1×

done

Compiler

Compiled 157 to 29 computations (81.5% saved)

preprocess39.0ms (2.7%)

Memory: -4.0MiB live, 35.1MiB allocated
Compiler: Compiled 418 to 122 computations (70.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (1.7%)

sample904.0ms (62.1%)

explain128.0ms (8.8%)

preprocess4.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize34.0ms (2.4%)

series20.0ms (1.3%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

simplify1.0ms (0.1%)

localize46.0ms (3.1%)

series9.0ms (0.7%)

simplify4.0ms (0.3%)

rewrite1.0ms (0%)

eval2.0ms (0.2%)

prune4.0ms (0.3%)

simplify1.0ms (0.1%)

localize37.0ms (2.6%)

series10.0ms (0.7%)

simplify1.0ms (0.1%)

rewrite1.0ms (0%)

eval6.0ms (0.4%)

prune5.0ms (0.4%)

simplify0.0ms (0%)

localize37.0ms (2.6%)

series7.0ms (0.5%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune5.0ms (0.4%)

regimes24.0ms (1.7%)

regimes20.0ms (1.3%)

regimes17.0ms (1.2%)

regimes16.0ms (1.1%)

regimes9.0ms (0.6%)

regimes8.0ms (0.6%)

bsearch17.0ms (1.2%)

simplify5.0ms (0.3%)

soundness1.0ms (0.1%)

preprocess39.0ms (2.7%)

end0.0ms (0%)

Profiling