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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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 7 to 7 computations (0% saved)

sample550.0ms (68%)

Memory

-19.1MiB live, 649.5MiB allocated; 105ms collecting garbage

Samples

370.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div!: 42.0ms (63.9% of total)

ival-sub!: 22.0ms (33.5% of total)

adjust: 1.0ms (1.5% of total)

Bogosity

preprocess14.0ms (1.7%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	21	34
2	33	34
3	37	34

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.4%)

Memory

6.5MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

5 → 10

Calls

Call 1

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

Outputs
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1/4 y)))
#s(approx (- x (/ y 4)) #s(hole binary64 (- x (* 1/4 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 (* x (+ 1 (* -1/4 (/ y x))))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ y x)) 1)))))
#s(approx (- x (/ y 4)) #s(hole binary64 (+ x (* -1/4 y))))
#s(approx (/ y 4) #s(hole binary64 (* 1/4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y 4)) #s(hole binary64 (* y (- (/ x y) 1/4))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* y (+ 1/4 (* -1 (/ x y)))))))

Calls

6 calls:

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

rewrite84.0ms (10.4%)

Memory

-4.9MiB live, 90.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	117
0	42	114
1	172	113
0	1329	109

Stop Event

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

Counts

15 → 25

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal 16 binary64)))) (neg.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 y y) #s(literal 16 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x) (.f64 x x))) (/.f64 (.f64 (/.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x) (.f64 x x))))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(/.f64 y #s(literal 4 binary64))
(neg.f64 (/.f64 y #s(literal -4 binary64)))
(neg.f64 (/.f64 (neg.f64 y) #s(literal 4 binary64)))
y
#s(literal 4 binary64)
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx x x)
#s(approx (- x (/ y 4)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (/ y 4)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y))
#s(approx y y)
#s(approx (- x (/ y 4)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1/4 binary64)) y))
#s(approx (- x (/ y 4)) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/4 binary64) (/.f64 x y))))

eval2.0ms (0.2%)

Memory: 5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 276 to 75 computations (72.8% saved)

prune10.0ms (1.2%)

Memory

-42.5MiB live, 3.5MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	2	20

Accuracy

100.0%

Counts

20 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
▶	50.3%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 19 to 16 computations (15.8% saved)

series3.0ms (0.4%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

7 → 9

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(fma.f64 #s(literal -1/4 binary64) y x)
x

Outputs
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1/4 y)))
#s(approx (- x (/ y 4)) #s(hole binary64 (- x (* 1/4 y))))
#s(approx (+ (* -1/4 y) x) #s(hole binary64 (+ x (* -1/4 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 (* x (+ 1 (* -1/4 (/ y x))))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ y x)) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y 4)) #s(hole binary64 (* y (- (/ x y) 1/4))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* y (+ 1/4 (* -1 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x) x)
1.0ms	y	@	-inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x) x)
0.0ms	y	@	inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x) x)
0.0ms	x	@	inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x) x)
0.0ms	y	@	0	((- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x) x)

rewrite72.0ms (9%)

Memory

37.4MiB live, 83.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	127
0	43	122
1	181	121
0	1399	119

Stop Event

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

Counts

16 → 39

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(fma.f64 #s(literal -1/4 binary64) y x)
x
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1/4 y)))
#s(approx (- x (/ y 4)) #s(hole binary64 (- x (* 1/4 y))))
#s(approx (+ (* -1/4 y) x) #s(hole binary64 (+ x (* -1/4 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 (* x (+ 1 (* -1/4 (/ y x))))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ y x)) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y 4)) #s(hole binary64 (* y (- (/ x y) 1/4))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* y (+ 1/4 (* -1 (/ x y)))))))

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))
(neg.f64 (*.f64 #s(literal 1/4 binary64) y))
#s(literal -1/4 binary64)
y
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (*.f64 x (fma.f64 #s(literal 1/4 binary64) y x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal 1/4 binary64) y)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/4 binary64) y x))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x))
(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (*.f64 x (fma.f64 #s(literal 1/4 binary64) y x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal 1/4 binary64) y))) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (.f64 x x)))
(fma.f64 #s(literal -1/4 binary64) y x)
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/4 binary64) y x)) (/.f64 (.f64 (*.f64 y y) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/4 binary64) y x)))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal 1/4 binary64) y)) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1/4 binary64)))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) y)) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) y)) (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) y x)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1/4 binary64)))
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
x
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx (+ (* -1/4 y) x) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx x x)
#s(approx (- x (/ y 4)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (/ y 4)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
#s(approx y y)
#s(approx (- x (/ y 4)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1/4 binary64)) y))
#s(approx (- x (/ y 4)) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/4 binary64) (/.f64 x y))))

eval31.0ms (3.8%)

Memory: -42.6MiB live, 14.3MiB allocated; 29ms collecting garbage
Compiler: Compiled 670 to 125 computations (81.3% saved)

prune1.0ms (0.2%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	31	2	33

Accuracy

100.0%

Counts

33 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
✓	50.3%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes13.0ms (1.6%)

Memory

-10.9MiB live, 38.5MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

Calls

Call 1

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

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

Call 2

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(-.f64 x (/.f64 y #s(literal 4 binary64)))

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

Calls

8 calls:

3.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
1.0ms	(/.f64 y #s(literal 4 binary64))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.3%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
50.3%	1	`(/.f64 y #s(literal 4 binary64))`
50.3%	1	`y`
50.3%	1	`x`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
100.0%	1	`(/.f64 y #s(literal 4 binary64))`
100.0%	1	`y`
100.0%	1	`x`

Compiler

Compiled 44 to 39 computations (11.4% saved)

derivations9.0ms (1.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess15.0ms (1.9%)

Memory: -10.9MiB live, 35.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 24 to 15 computations (37.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample550.0ms (68%)

preprocess14.0ms (1.7%)

series3.0ms (0.4%)

rewrite84.0ms (10.4%)

eval2.0ms (0.2%)

prune10.0ms (1.2%)

series3.0ms (0.4%)

rewrite72.0ms (9%)

eval31.0ms (3.8%)

prune1.0ms (0.2%)

regimes13.0ms (1.6%)

derivations9.0ms (1.1%)

preprocess15.0ms (1.9%)

end0.0ms (0%)

Profiling