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

0.2MiB live, 0.2MiB 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)

sample595.0ms (49%)

Memory

7.6MiB live, 984.1MiB allocated; 257ms collecting garbage

Samples

380.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-sub!: 108.0ms (66.5% of total)

ival-div!: 53.0ms (32.6% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess93.0ms (7.6%)

Memory

-15.3MiB live, 76.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	45	30
2	105	30
3	197	30
4	411	30
5	2803	30

Stop Event

1×	node-limit

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 (0.3%)

Memory

9.5MiB live, 9.5MiB 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)

rewrite229.0ms (18.8%)

Memory

31.9MiB live, 272.4MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	117
0	42	111
1	210	111
2	1561	111
0	8105	99
1	30143	99

Stop Event

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

Counts

15 → 42

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

eval6.0ms (0.5%)

Memory: -35.4MiB live, 10.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 112 to 81 computations (27.7% saved)

prune1.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	2	36

Accuracy

100.0%

Counts

36 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
▶	52.1%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

6 → 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
(fma.f64 y #s(literal -1/4 binary64) 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 (+ (* y -1/4) 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	y	@	-inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (+ (* y -1/4) x) x)
0.0ms	y	@	inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (+ (* y -1/4) x) x)
0.0ms	x	@	-inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (+ (* y -1/4) x) x)
0.0ms	x	@	inf	((- x (/ y 4)) (* -1/4 y) -1/4 y (+ (* y -1/4) x) x)
0.0ms	y	@	0	((- x (/ y 4)) (* -1/4 y) -1/4 y (+ (* y -1/4) x) x)

rewrite193.0ms (15.9%)

Memory

28.7MiB live, 257.0MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	117
0	42	102
1	225	102
2	1656	102
0	8284	100
1	31118	100

Stop Event

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

Counts

15 → 41

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

eval3.0ms (0.2%)

Memory: 8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 103 to 75 computations (27.2% saved)

prune6.0ms (0.5%)

Memory

-51.4MiB live, 6.4MiB allocated; 6ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	32	2	34

Accuracy

100.0%

Counts

34 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
✓	52.1%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 24 to 24 computations (0% saved)

regimes6.0ms (0.5%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.3%)

Memory

15.8MiB live, 15.8MiB 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 4)) (*.f64 #s(literal -1/4 binary64) y))

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

Calls

4 calls:

1.0ms	(-.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
52.1%	1	`(/.f64 y #s(literal 4 binary64))`
52.1%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
52.1%	1	`x`
52.1%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

derivations56.0ms (4.6%)

Memory

-39.8MiB live, 52.9MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 9 to 9 computations (0% saved)

preprocess16.0ms (1.4%)

Memory: 3.8MiB live, 49.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample595.0ms (49%)

preprocess93.0ms (7.6%)

series3.0ms (0.3%)

rewrite229.0ms (18.8%)

eval6.0ms (0.5%)

prune1.0ms (0.1%)

series3.0ms (0.2%)

rewrite193.0ms (15.9%)

eval3.0ms (0.2%)

prune6.0ms (0.5%)

regimes6.0ms (0.5%)

regimes4.0ms (0.3%)

derivations56.0ms (4.6%)

preprocess16.0ms (1.4%)

end0.0ms (0%)

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