Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 11 computations (0% saved)

sample5.1s (73.4%)

Memory

-307.7MiB live, 1 941.8MiB allocated; 4.3s collecting garbage

Samples

4.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 466.0ms

ival-div: 176.0ms (37.8% of total)

ival-mult: 139.0ms (29.8% of total)

ival-sub: 130.0ms (27.9% of total)

exact: 9.0ms (1.9% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain96.0ms (1.4%)

Memory

-11.9MiB live, 225.9MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`z`
-	-	`(*.f64 x y)`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`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

38.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 9.0ms (52.8% of total)

ival-mult: 4.0ms (23.5% of total)

ival-sub: 2.0ms (11.7% of total)

exact: 1.0ms (5.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess249.0ms (3.6%)

Memory

0.0MiB live, 290.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	90
1	52	88
2	71	84
3	111	84
4	177	84
5	367	84
6	1725	84
7	5878	84
0	9	9
0	13	9
1	18	9
2	24	9
3	37	9
4	65	9
5	168	9
6	1047	9
7	5521	9
0	8425	9

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Symmetry

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify201.0ms (2.9%)

Memory

11.6MiB live, 173.9MiB allocated; 88ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 z #s(literal 8 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	24	25
3	37	25
4	65	25
5	168	25
6	1047	25
7	5521	25
0	8425	25

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

localize29.0ms (0.4%)

Memory

1.2MiB live, 51.3MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z #s(literal 8 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (42.2% of total)

ival-mult: 2.0ms (28.1% of total)

ival-sub: 1.0ms (14.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-27.1MiB live, 18.3MiB allocated; 8ms collecting garbage

Counts

4 → 13

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	z	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))

simplify190.0ms (2.8%)

Memory

56.6MiB live, 279.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	205
1	150	205
2	473	205
3	1163	205
4	3431	205
5	6923	205
0	8018	197

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* x y) (*.f64 y x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z)))
#s(approx (/ z 8) (*.f64 #s(literal 1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))

rewrite96.0ms (1.4%)

Memory

-8.4MiB live, 120.3MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	45	20
0	319	20

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 29

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
(/.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (-.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 16 binary64)) (/.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(*.f64 y x)
(*.f64 x y)
(/.f64 (neg.f64 (neg.f64 z)) #s(literal 8 binary64))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(/.f64 z #s(literal 8 binary64))
(neg.f64 (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (/.f64 z #s(literal -8 binary64)))

eval4.0ms (0.1%)

Memory: 15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 524 to 119 computations (77.3% saved)

prune2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Accuracy

100.0%

Counts

36 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
▶	49.2%	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
▶	53.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Status

Accuracy

Program

▶

100.0%

#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))

▶

49.2%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

▶

53.0%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 46 to 40 computations (13% saved)

simplify166.0ms (2.4%)

Memory

-22.2MiB live, 125.9MiB allocated; 33ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	81
0	25	81
1	43	81
2	75	81
3	130	81
4	211	81
5	382	81
6	1565	81
7	5666	81
0	8138	81

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

localize47.0ms (0.7%)

Memory

15.0MiB live, 59.8MiB allocated; 6ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	0.0	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	32.48109186018605	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	30.061549542413818	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Samples

38.0ms

256×

valid

Compiler

Compiled 65 to 19 computations (70.8% saved)

Precisions

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

ival-add: 13.0ms (46.9% of total)

ival-mult: 9.0ms (32.5% of total)

ival-div: 3.0ms (10.8% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-27.9MiB live, 14.8MiB allocated; 11ms collecting garbage

Counts

8 → 23

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))

simplify217.0ms (3.2%)

Memory

24.2MiB live, 275.8MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	373
1	170	373
2	505	373
3	1213	373
4	3301	373
5	6654	373
0	8866	349

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* 1/2 (* y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* y x) (*.f64 y x))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z)))
#s(approx (* -1/8 z) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))

rewrite39.0ms (0.6%)

Memory

-14.5MiB live, 29.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	68
0	25	68
1	82	68
0	563	68

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

8 → 41

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(*.f64 y x)
(*.f64 x y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(literal 1/8 binary64) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1/8 binary64)) z))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 z #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (neg.f64 z) #s(literal -1/8 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) y))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 (neg.f64 x) y) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

eval5.0ms (0.1%)

Memory: 13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 178 to 166 computations (85.9% saved)

prune6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))

✓

49.2%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

✓

53.0%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 101 to 65 computations (35.6% saved)

regimes16.0ms (0.2%)

Memory

-14.8MiB live, 30.6MiB allocated; 4ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))

Calls

7 calls:

5.0ms	z
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	y
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 z #s(literal 8 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes12.0ms (0.2%)

Memory

-20.5MiB live, 25.0MiB allocated; 5ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Outputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

Calls

7 calls:

4.0ms	(*.f64 x y)
2.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
77.7%	3	`(/.f64 z #s(literal 8 binary64))`
77.9%	3	`(*.f64 x y)`
77.9%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
66.0%	3	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
73.2%	3	`x`
70.6%	3	`y`
77.7%	3	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
53.0%	1	`y`
53.0%	1	`x`
53.0%	1	`(/.f64 z #s(literal 8 binary64))`
53.0%	1	`z`
53.0%	1	`(*.f64 x y)`
53.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0425811044036584e+132	1.542496192380559e+140
0.0ms	-8.393594088312759e-44	-1.0510768839009538e-51

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify42.0ms (0.6%)

Memory

-2.2MiB live, 48.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	35	76
2	41	76
3	55	76
4	95	76
5	433	76
6	3639	76

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))

(if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(if (or (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (not (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944 binary64)))) #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

derivations362.0ms (5.3%)

Memory

-9.8MiB live, 126.3MiB allocated; 14ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 76 to 29 computations (61.8% saved)

preprocess25.0ms (0.4%)

Memory: 22.5MiB live, 75.0MiB allocated; 11ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 206 to 106 computations (48.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample5.1s (73.4%)

explain96.0ms (1.4%)

preprocess249.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify201.0ms (2.9%)

localize29.0ms (0.4%)

series12.0ms (0.2%)

simplify190.0ms (2.8%)

rewrite96.0ms (1.4%)

eval4.0ms (0.1%)

prune2.0ms (0%)

simplify166.0ms (2.4%)

localize47.0ms (0.7%)

series12.0ms (0.2%)

simplify217.0ms (3.2%)

rewrite39.0ms (0.6%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

regimes16.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

simplify42.0ms (0.6%)

derivations362.0ms (5.3%)

preprocess25.0ms (0.4%)

end0.0ms (0%)

Profiling