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

0.8MiB live, 0.8MiB 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)

sample1.1s (32.7%)

Memory

43.9MiB live, 1 315.4MiB allocated; 289ms collecting garbage

Samples

685.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 406.0ms

ival-div: 212.0ms (52.2% of total)

ival-mult: 103.0ms (25.4% of total)

ival-sub: 70.0ms (17.2% of total)

exact: 9.0ms (2.2% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 4.0ms (1% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain92.0ms (2.8%)

Memory

-1.6MiB live, 186.8MiB allocated; 25ms 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

36.0ms

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: 10.0ms (57.3% of total)

ival-mult: 4.0ms (22.9% of total)

ival-sub: 2.0ms (11.5% of total)

exact: 1.0ms (5.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess261.0ms (7.9%)

Memory

1.9MiB live, 260.7MiB allocated; 56ms 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)

simplify223.0ms (6.7%)

Memory

8.6MiB live, 165.7MiB allocated; 49ms 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)

localize24.0ms (0.7%)

Memory

-3.6MiB live, 41.2MiB allocated; 4ms 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	0.01171875	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (51.9% of total)

ival-div: 3.0ms (31.1% of total)

ival-sub: 1.0ms (10.4% 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)

series7.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

4 → 12

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
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

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

simplify332.0ms (10%)

Memory

-13.5MiB live, 238.4MiB allocated; 175ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	86
1	128	86
2	444	86
3	1117	86
4	3311	86
5	6558	86
0	8590	78

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

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

rewrite56.0ms (1.7%)

Memory

-1.8MiB live, 147.7MiB allocated; 14ms 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)))

eval6.0ms (0.2%)

Memory: -30.2MiB live, 16.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 509 to 118 computations (76.8% saved)

prune1.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	2	35

Accuracy

100.0%

Counts

35 → 2

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)))
▶	47.7%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify139.0ms (4.2%)

Memory

21.5MiB live, 166.3MiB allocated; 15ms collecting garbage

Localize:

Found 6 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 #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	16	55
0	20	55
1	34	55
2	62	55
3	117	55
4	199	55
5	354	55
6	1479	55
7	5581	55
0	8056	55

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)) (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)) (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 #s(literal 1/2 binary64) (.f64 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))
(*.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

localize32.0ms (1%)

Memory

13.8MiB live, 60.1MiB allocated; 3ms collecting garbage

Localize:

Found 6 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 #s(literal -1/8 binary64) z)
accuracy	33.498499927066725	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Samples

24.0ms

256×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (52.9% of total)

ival-div: 3.0ms (22.7% of total)

ival-sub: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% 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)

series21.0ms (0.6%)

Memory

-24.2MiB live, 24.9MiB allocated; 13ms collecting garbage

Counts

5 → 11

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)) (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
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 x)
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* 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 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 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
0.0ms	z	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))

simplify193.0ms (5.8%)

Memory

12.0MiB live, 333.1MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	128	83
2	445	83
3	1119	83
4	3339	83
5	6605	83
0	8634	75

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 x)
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

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

rewrite40.0ms (1.2%)

Memory

1.3MiB live, 59.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
0	20	45
1	73	45
0	533	45

Stop Event

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

Counts

5 → 31

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)) (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)) (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 y #s(literal 1/2 binary64)) 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) 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 (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))

eval4.0ms (0.1%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 894 to 131 computations (85.3% saved)

prune3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	36	3	39

Accuracy

100.0%

Counts

39 → 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)))

▶

53.9%

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

✓

47.7%

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

Compiler

Compiled 46 to 40 computations (13% saved)

simplify130.0ms (3.9%)

Memory

-5.2MiB live, 130.7MiB allocated; 12ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
0	15	26
1	23	26
2	36	26
3	51	26
4	79	26
5	184	26
6	1119	26
7	5332	26
0	8047	26

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 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
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 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

localize49.0ms (1.5%)

Memory

-19.1MiB live, 73.3MiB allocated; 19ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	29.496641305400054	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Samples

39.0ms

256×

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

Precisions

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

ival-div: 9.0ms (54.7% of total)

ival-mult: 5.0ms (30.4% of total)

ival-sub: 1.0ms (6.1% 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)

series4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

3 → 11

Calls

Call 1

Inputs
#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)

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))

simplify210.0ms (6.3%)

Memory

2.7MiB live, 277.2MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	128	83
2	444	83
3	1115	83
4	3320	83
5	6556	83
0	8587	75

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

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

rewrite54.0ms (1.6%)

Memory

14.4MiB live, 84.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
0	15	23
1	51	23
0	332	23

Stop Event

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

Counts

3 → 9

Calls

Call 1

Inputs
#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)

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

eval10.0ms (0.3%)

Memory: -35.9MiB live, 9.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 206 to 42 computations (79.6% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Accuracy

100.0%

Counts

16 → 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)))

✓

53.9%

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

✓

47.7%

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

Compiler

Compiled 101 to 65 computations (35.6% saved)

regimes14.0ms (0.4%)

Memory

-4.5MiB live, 43.0MiB allocated; 1ms 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:

3.0ms	(*.f64 x y)
2.0ms	z
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	y

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)

regimes10.0ms (0.3%)

Memory

-7.2MiB live, 40.1MiB allocated; 1ms 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:

2.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	z
1.0ms	x
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
73.7%	3	`(/.f64 z #s(literal 8 binary64))`
80.3%	3	`(*.f64 x y)`
80.3%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
64.1%	3	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
73.5%	3	`x`
76.1%	3	`y`
73.7%	3	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes8.0ms (0.2%)

Memory

32.0MiB live, 32.1MiB 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	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	y

Results

Accuracy	Segments	Branch
47.7%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
47.7%	1	`x`
47.7%	1	`(/.f64 z #s(literal 8 binary64))`
47.7%	1	`z`
47.7%	1	`y`
47.7%	1	`(*.f64 x y)`
47.7%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.1879898127231734e-27	2.3135639230619627e-24
0.0ms	-8.131752698737649e-49	-6.602433656074378e-53

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify45.0ms (1.4%)

Memory

-23.8MiB live, 76.1MiB allocated; 5ms 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 -822752278660603/1645504557321206042154969182557350504982735865633579863348609024 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 1742245718635205/174224571863520493293247799005065324265472 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 -822752278660603/1645504557321206042154969182557350504982735865633579863348609024 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 1742245718635205/174224571863520493293247799005065324265472 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 -822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (not (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1742245718635205/174224571863520493293247799005065324265472 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))

derivations212.0ms (6.4%)

Memory

-5.1MiB live, 138.6MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 76 to 29 computations (61.8% saved)

preprocess47.0ms (1.4%)

Memory: -5.2MiB live, 41.1MiB allocated; 8ms 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%)

sample1.1s (32.7%)

explain92.0ms (2.8%)

preprocess261.0ms (7.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify223.0ms (6.7%)

localize24.0ms (0.7%)

series7.0ms (0.2%)

simplify332.0ms (10%)

rewrite56.0ms (1.7%)

eval6.0ms (0.2%)

prune1.0ms (0%)

simplify139.0ms (4.2%)

localize32.0ms (1%)

series21.0ms (0.6%)

simplify193.0ms (5.8%)

rewrite40.0ms (1.2%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

simplify130.0ms (3.9%)

localize49.0ms (1.5%)

series4.0ms (0.1%)

simplify210.0ms (6.3%)

rewrite54.0ms (1.6%)

eval10.0ms (0.3%)

prune3.0ms (0.1%)

regimes14.0ms (0.4%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

simplify45.0ms (1.4%)

derivations212.0ms (6.4%)

preprocess47.0ms (1.4%)

end0.0ms (0%)

Profiling