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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 9 to 9 computations (0% saved)

sample1.3s (6.4%)

Memory

2.3MiB live, 579.2MiB allocated; 216ms collecting garbage

Samples

764.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult!: 217.0ms (89.3% of total)

ival-sub!: 24.0ms (9.9% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess35.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	95	70
2	248	70
3	493	70
4	584	70
5	587	70

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Symmetry

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

series202.0ms (1%)

Memory

-9.4MiB live, 34.9MiB allocated; 16ms collecting garbage

Counts

7 → 14

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z))))
#s(approx x x)
#s(approx (- x (* (* y 4) z)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64)))))
#s(approx (- x (* (* y 4) z)) (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z))))
#s(approx (* (* y 4) z) (.f64 #s(literal 4 binary64) (.f64 y z)))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (- x (* (* y 4) z)) (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z)))))
#s(approx z z)
#s(approx (- x (* (* y 4) z)) (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y)))))

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((- x (* (* y 4) z)) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	y	@	-inf	((- x (* (* y 4) z)) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	y	@	0	((- x (* (* y 4) z)) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	z	@	0	((- x (* (* y 4) z)) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	z	@	inf	((- x (* (* y 4) z)) x (* (* y 4) z) (* y 4) y 4 z)

rewrite4.5s (23.1%)

Memory

-78.1MiB live, 1 123.9MiB allocated; 439ms collecting garbage

Counts

7 → 43

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(+.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) x)
(+.f64 x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (neg.f64 x))
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 (*.f64 z y) (neg.f64 #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 #s(literal 4 binary64)) (*.f64 z y) x)
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z x)
(fma.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64) x)
(fma.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) y x)
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)) x)
(fma.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))) x)
(fma.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))) x)
(neg.f64 (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) x))
x
(neg.f64 (neg.f64 x))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(.f64 z (.f64 y #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z y)) (neg.f64 #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) (neg.f64 y))
(.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (.f64 z y)))
(.f64 (neg.f64 y) (neg.f64 (.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 z) (neg.f64 (.f64 y #s(literal 4 binary64))))
(neg.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))))
y
(neg.f64 (neg.f64 y))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
z
(neg.f64 (neg.f64 z))

eval6.0ms (0%)

Memory: 9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 243 to 142 computations (41.6% saved)

prune3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Accuracy

100.0%

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
✓	99.6%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
▶	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Compiler

Compiled 25 to 25 computations (0% saved)

series230.0ms (1.2%)

Memory

-0.3MiB live, 64.2MiB allocated; 52ms collecting garbage

Counts

11 → 19

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(*.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 y)
x

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z))))
#s(approx (+ (* (* z 4) (neg y)) x) (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z))))
#s(approx x x)
#s(approx (- x (* (* y 4) z)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64)))))
#s(approx (* y z) (*.f64 y z))
#s(approx y y)
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x (* (* y 4) z)) (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z))))
#s(approx (+ (* (* z 4) (neg y)) x) (*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z)))))
#s(approx (+ (* (* z 4) (neg y)) x) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))))
#s(approx z z)
#s(approx (* z 4) (*.f64 #s(literal 4 binary64) z))
#s(approx (- x (* (* y 4) z)) (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y))))
#s(approx (+ (* (* z 4) (neg y)) x) (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y)))))
#s(approx (+ (* (* z 4) (neg y)) x) (.f64 #s(literal -1 binary64) (.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* (* z 4) (neg y)) x) (* z 4) 4 (neg y) x)
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* (* z 4) (neg y)) x) (* z 4) 4 (neg y) x)
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* (* z 4) (neg y)) x) (* z 4) 4 (neg y) x)
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* (* z 4) (neg y)) x) (* z 4) 4 (neg y) x)
1.0ms	z	@	0	((- x (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* (* z 4) (neg y)) x) (* z 4) 4 (neg y) x)

rewrite4.5s (22.9%)

Memory

32.8MiB live, 1 972.2MiB allocated; 488ms collecting garbage

Counts

11 → 51

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(*.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 y)
x

Outputs
#s(approx (- x (* 4 (* z y))) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 (.f64 z #s(literal -4 binary64)) y)
(.f64 (.f64 y z) #s(literal -4 binary64))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 (neg.f64 (.f64 y z)) (neg.f64 #s(literal -4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal -4 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z #s(literal -4 binary64))) (neg.f64 y))
(.f64 (neg.f64 #s(literal -4 binary64)) (neg.f64 (.f64 y z)))
(.f64 (neg.f64 y) (neg.f64 (.f64 z #s(literal -4 binary64))))
(.f64 (neg.f64 z) (neg.f64 (.f64 y #s(literal -4 binary64))))
(neg.f64 (neg.f64 (.f64 #s(literal -4 binary64) (.f64 y z))))
#s(literal -4 binary64)
(*.f64 y z)
(*.f64 z y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(neg.f64 (neg.f64 (*.f64 y z)))
y
(neg.f64 (neg.f64 y))
z
(neg.f64 (neg.f64 z))
(+.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) x)
(+.f64 x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (neg.f64 x))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 (*.f64 y z) (neg.f64 #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 #s(literal 4 binary64)) (*.f64 y z) x)
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z x)
(fma.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) y x)
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 y z)) x)
(fma.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))) x)
(fma.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))) x)
(neg.f64 (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) x))
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
(neg.f64 y)
x
(neg.f64 (neg.f64 x))

eval11.0ms (0.1%)

Memory: 8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 311 to 188 computations (39.5% saved)

prune9.0ms (0%)

Memory

-43.1MiB live, 4.2MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	61	4	65

Accuracy

100.0%

Counts

65 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
✓	99.6%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
▶	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
✓	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Compiler

Compiled 36 to 36 computations (0% saved)

series193.0ms (1%)

Memory

43.3MiB live, 88.5MiB allocated; 4ms collecting garbage

Counts

6 → 13

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z))))
#s(approx (- x (* (* y 4) z)) x)
#s(approx (- x (* (* y 4) z)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64)))))
#s(approx (- x (* (* y 4) z)) (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z))))
#s(approx y y)
#s(approx (- x (* (* y 4) z)) (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z)))))
#s(approx (* z -4) (*.f64 #s(literal -4 binary64) z))
#s(approx z z)
#s(approx (- x (* (* y 4) z)) (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)

rewrite4.2s (21.2%)

Memory

-8.7MiB live, 1 562.5MiB allocated; 530ms collecting garbage

Counts

6 → 22

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y

Outputs
#s(approx (- x (* y (* z 4))) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal -4 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z #s(literal -4 binary64))) (neg.f64 y))
(.f64 (neg.f64 y) (neg.f64 (.f64 z #s(literal -4 binary64))))
(.f64 (neg.f64 z) (neg.f64 (.f64 y #s(literal -4 binary64))))
(neg.f64 (neg.f64 (.f64 (.f64 z #s(literal -4 binary64)) y)))
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
(*.f64 (neg.f64 #s(literal -4 binary64)) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 #s(literal -4 binary64)))
(neg.f64 (neg.f64 (*.f64 z #s(literal -4 binary64))))
z
(neg.f64 (neg.f64 z))
#s(literal -4 binary64)
y
(neg.f64 (neg.f64 y))

eval5.0ms (0%)

Memory: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 171 to 115 computations (32.7% saved)

prune4.0ms (0%)

Memory

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

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	29	4	33

Accuracy

100.0%

Counts

33 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
✓	99.6%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
▶	50.6%	#s(approx (- x (* (* y 4) z)) x)

Compiler

Compiled 33 to 33 computations (0% saved)

series263.0ms (1.3%)

Memory

-7.7MiB live, 35.8MiB allocated; 38ms collecting garbage

Counts

2 → 10

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) x)
x

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z))))
#s(approx x x)
#s(approx (- x (* (* y 4) z)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64)))))
#s(approx (- x (* (* y 4) z)) (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z))))
#s(approx (- x (* (* y 4) z)) (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z)))))
#s(approx (- x (* (* y 4) z)) (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y))))
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- x (* (* y 4) z)) x)
1.0ms	x	@	inf	((- x (* (* y 4) z)) x)
0.0ms	y	@	-inf	((- x (* (* y 4) z)) x)
0.0ms	z	@	-inf	((- x (* (* y 4) z)) x)
0.0ms	x	@	0	((- x (* (* y 4) z)) x)

rewrite3.9s (20.1%)

Memory

-6.9MiB live, 754.7MiB allocated; 195ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) x)
x

Outputs
#s(approx (- x (* y (* z 4))) x)
x
(neg.f64 (neg.f64 x))

eval1.0ms (0%)

Memory: 3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 95 to 60 computations (36.8% saved)

prune2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	12	4	16

Accuracy

100.0%

Counts

16 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
✓	99.6%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
✓	50.6%	#s(approx (- x (* (* y 4) z)) x)

Compiler

Compiled 58 to 55 computations (5.2% saved)

regimes13.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) x)
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)

Outputs
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)

Calls

6 calls:

2.0ms	x
2.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y #s(literal 4 binary64))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes102.0ms (0.5%)

Memory

-17.2MiB live, 28.5MiB allocated; 18ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) x)
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Calls

6 calls:

20.0ms	y
6.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 y #s(literal 4 binary64))`
99.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.6%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes82.0ms (0.4%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) x)
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- x (* (* y 4) z)) x)
#s(approx (- x (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Calls

6 calls:

68.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
5.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	z
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
74.9%	3	`(*.f64 y #s(literal 4 binary64))`
83.8%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
73.4%	7	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
69.7%	3	`x`
74.9%	3	`y`
77.5%	3	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes27.0ms (0.1%)

Memory

-33.4MiB live, 13.1MiB allocated; 9ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) x)

Outputs
#s(approx (- x (* (* y 4) z)) x)

Calls

6 calls:

10.0ms	x
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	z
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
3.0ms	y

Results

Accuracy	Segments	Branch
50.6%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
50.6%	1	`x`
50.6%	1	`(*.f64 y #s(literal 4 binary64))`
50.6%	1	`y`
50.6%	1	`z`
50.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`

Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6989.131163292438	84001781018.52638
0.0ms	-1.0363005314534091e+124	-2.488873117586565e+117

Compiler

Compiled 10 to 13 computations (-30% saved)

derivations3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 25 computations (10.7% saved)

preprocess43.0ms (0.2%)

Memory: -1.7MiB live, 58.1MiB allocated; 20ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 127 to 118 computations (7.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (6.4%)

preprocess35.0ms (0.2%)

series202.0ms (1%)

rewrite4.5s (23.1%)

eval6.0ms (0%)

prune3.0ms (0%)

series230.0ms (1.2%)

rewrite4.5s (22.9%)

eval11.0ms (0.1%)

prune9.0ms (0%)

series193.0ms (1%)

rewrite4.2s (21.2%)

eval5.0ms (0%)

prune4.0ms (0%)

series263.0ms (1.3%)

rewrite3.9s (20.1%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes13.0ms (0.1%)

regimes102.0ms (0.5%)

regimes82.0ms (0.4%)

regimes27.0ms (0.1%)

bsearch1.0ms (0%)

derivations3.0ms (0%)

preprocess43.0ms (0.2%)

end0.0ms (0%)

Profiling