Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze46.0ms (3.3%)

Memory

30.9MiB live, 112.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.0s (73.2%)

Memory

13.1MiB live, 1 457.0MiB allocated

Samples

525.0ms	8 256×	0	valid
123.0ms	2 041×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-mult: 125.0ms (34.8% of total)

ival-div: 80.0ms (22.3% of total)

ival-sqrt: 77.0ms (21.4% of total)

ival-add: 57.0ms (15.9% of total)

exact: 9.0ms (2.5% of total)

ival-true: 8.0ms (2.2% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain102.0ms (7.4%)

Memory

-39.7MiB live, 231.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`(sqrt.f64 z)`
-	-	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 y (sqrt.f64 z))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 104 to 44 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (36.9% of total)

ival-sqrt: 4.0ms (24.6% of total)

ival-div: 3.0ms (18.5% of total)

ival-add: 2.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess3.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z

localize24.0ms (1.8%)

Memory

7.9MiB live, 48.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2578125	(*.f64 y (sqrt.f64 z))

Samples

18.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (37.9% of total)

ival-div: 2.0ms (25.3% of total)

ival-sqrt: 2.0ms (25.3% of total)

ival-add: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.5%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

5 → 23

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

23 → 5

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Outputs
(* 1/2 (* y (sqrt z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(* y (sqrt z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+ x (* y (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* 1/2 x)
(sqrt.f64 z)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)

eval1.0ms (0.1%)

Memory: 2.0MiB live, 2.0MiB allocated
Compiler: Compiled 130 to 24 computations (81.5% saved)

prune2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	7	3	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	4	11

Accuracy

99.8%

Counts

11 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	51.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
▶	3.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
▶	3.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))

Compiler

Compiled 52 to 49 computations (5.8% saved)

simplify3.0ms (0.2%)

Memory

-36.8MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
(sqrt.f64 z)
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
(sqrt.f64 z)
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z

localize26.0ms (1.9%)

Memory

37.4MiB live, 37.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2578125	(*.f64 y (sqrt.f64 z))
accuracy	30.868755802843047	#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	61.822480977522	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 z)
accuracy	61.77025041559782	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))

Samples

18.0ms

256×

valid

Compiler

Compiled 133 to 31 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (37.3% of total)

ival-div: 2.0ms (24.9% of total)

ival-sqrt: 2.0ms (24.9% of total)

ival-add: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.7%)

Memory

-29.1MiB live, 8.3MiB allocated

Counts

7 → 23

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)))
1.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)))
1.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)))
1.0ms	y	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)))
1.0ms	z	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

23 → 7

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))

Outputs
(* 1/2 (* y (sqrt z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(sqrt.f64 z)
(* y (sqrt z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+ x (* y (sqrt z)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(* 1/2 x)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))

rewrite0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

7 → 7

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))

eval2.0ms (0.1%)

Memory: 2.8MiB live, 2.8MiB allocated
Compiler: Compiled 240 to 26 computations (89.2% saved)

prune3.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	12	6	18

Accuracy

99.8%

Counts

18 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	3.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
✓	51.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
✓	3.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	3.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
▶	15.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))

Compiler

Compiled 88 to 74 computations (15.9% saved)

simplify1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

localize27.0ms (1.9%)

Memory

-2.2MiB live, 35.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
accuracy	61.814540559914924	#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2578125	(*.f64 y (sqrt.f64 z))
accuracy	30.868755802843047	#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
accuracy	49.359375	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))

Samples

20.0ms

256×

valid

Compiler

Compiled 117 to 31 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.9% of total)

ival-div: 2.0ms (24.6% of total)

ival-sqrt: 2.0ms (24.6% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.3%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

7 → 23

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))))
1.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))))
1.0ms	z	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))))
0.0ms	y	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))))
0.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) (+ x (* y (sqrt z))))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

23 → 7

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Outputs
(* 1/2 (* y (sqrt z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(+ x (* y (sqrt z)))
(sqrt.f64 z)
(* 1/2 x)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
x
#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

rewrite0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

7 → 7

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(approx (+ x (* y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

eval1.0ms (0.1%)

Memory: 2.6MiB live, 2.6MiB allocated
Compiler: Compiled 264 to 26 computations (90.2% saved)

prune4.0ms (0.3%)

Memory

7.5MiB live, 7.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	13	6	19

Accuracy

99.8%

Counts

19 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	3.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
✓	51.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
✓	3.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	3.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
✓	15.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))

Compiler

Compiled 176 to 98 computations (44.3% saved)

regimes23.0ms (1.7%)

Memory

-8.7MiB live, 33.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Calls

7 calls:

3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
3.0ms	(sqrt.f64 z)
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
3.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes19.0ms (1.4%)

Memory

-7.3MiB live, 30.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))

Calls

7 calls:

5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	z
2.0ms	(sqrt.f64 z)
2.0ms	x
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`y`
51.5%	1	`z`
51.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
51.5%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
51.5%	1	`(*.f64 y (sqrt.f64 z))`
51.5%	1	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes16.0ms (1.2%)

Memory

-11.8MiB live, 26.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))

Calls

7 calls:

4.0ms	x
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	z
2.0ms	(sqrt.f64 z)
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
15.3%	1	`x`
15.3%	1	`y`
15.3%	1	`z`
15.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
15.3%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
15.3%	1	`(sqrt.f64 z)`
15.3%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.8%)

Memory

21.7MiB live, 21.7MiB allocated

Accuracy

Total -0.4b remaining (-0.6%)

Threshold costs -0.4b (-0.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))

Calls

7 calls:

1.0ms	z
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(sqrt.f64 z)
1.0ms	x
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
3.5%	1	`y`
3.5%	1	`(*.f64 y (sqrt.f64 z))`
3.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
3.5%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
3.5%	1	`z`
3.5%	1	`(sqrt.f64 z)`
3.5%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

simplify5.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (sqrt.f64 z))

soundness1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated

Stop Event

1×

done

Compiler

Compiled 60 to 21 computations (65% saved)

preprocess27.0ms (2%)

Memory: 3.5MiB live, 41.8MiB allocated
Compiler: Compiled 140 to 62 computations (55.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze46.0ms (3.3%)

sample1.0s (73.2%)

explain102.0ms (7.4%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize24.0ms (1.8%)

series8.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

simplify3.0ms (0.2%)

localize26.0ms (1.9%)

series9.0ms (0.7%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval2.0ms (0.1%)

prune3.0ms (0.2%)

simplify1.0ms (0%)

localize27.0ms (1.9%)

series5.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune4.0ms (0.3%)

regimes23.0ms (1.7%)

regimes19.0ms (1.4%)

regimes16.0ms (1.2%)

regimes10.0ms (0.8%)

simplify5.0ms (0.3%)

soundness1.0ms (0.1%)

preprocess27.0ms (2%)

end0.0ms (0%)

Profiling