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

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 7 to 7 computations (0% saved)

sample589.0ms (57.6%)

Memory

27.1MiB live, 795.9MiB allocated; 159ms collecting garbage

Samples

346.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-div!: 130.0ms (77.8% of total)

ival-sub!: 35.0ms (20.9% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain50.0ms (4.8%)

Memory

-29.9MiB live, 114.6MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
-	-	`y`
-	-	`(/.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`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

22.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div!: 3.0ms (72.9% of total)

ival-sub!: 1.0ms (24.3% of total)

adjust: 0.0ms (0% of total)

preprocess16.0ms (1.5%)

Memory

-10.1MiB live, 37.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	15	34
2	18	34
0	5	5
0	7	5
0	7	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

series4.0ms (0.4%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

5 → 11

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))
#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	x	@	0	((- x (/ y 4)) x (/ y 4) y 4)

rewrite70.0ms (6.8%)

Memory

36.2MiB live, 130.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	124
0	43	121
1	173	120
0	1342	116

Stop Event

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

Counts

16 → 26

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))
#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) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 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) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 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 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 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 (neg.f64 y) #s(literal 4 binary64)))
(neg.f64 (/.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)) 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))))

eval12.0ms (1.2%)

Memory: -34.9MiB live, 8.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 290 to 77 computations (73.4% saved)

prune2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	3	26

Accuracy

100.0%

Counts

26 → 3

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))
▶	52.2%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
▶	49.9%	#s(approx (- x (/ y 4)) x)

Compiler

Compiled 26 to 22 computations (15.4% saved)

series3.0ms (0.3%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

8 → 18

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) x)
x
#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)

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 (+ (* -1/4 y) x) #s(hole binary64 (* -1/4 y)))
#s(approx (+ (* -1/4 y) x) #s(hole binary64 (+ x (* -1/4 y))))
#s(approx (- x (/ y 4)) #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 (* x (+ 1 (* -1/4 (/ y x))))))
#s(approx (+ (* -1/4 y) x) #s(hole binary64 x))
#s(approx (+ (* -1/4 y) x) #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 (+ (* -1/4 y) x) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ y x)) 1)))))
#s(approx (- x (/ y 4)) #s(hole binary64 (+ x (* -1/4 y))))
#s(approx (* -1/4 y) #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 (+ (* -1/4 y) x) #s(hole binary64 (* y (- (/ x y) 1/4))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* y (+ 1/4 (* -1 (/ x y)))))))
#s(approx (+ (* -1/4 y) x) #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 (- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x))
1.0ms	y	@	inf	((- x (/ y 4)) x (- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x))
1.0ms	x	@	-inf	((- x (/ y 4)) x (- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x))
0.0ms	x	@	inf	((- x (/ y 4)) x (- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x))
0.0ms	y	@	0	((- x (/ y 4)) x (- x (/ y 4)) (* -1/4 y) -1/4 y (- x (/ y 4)) (+ (* -1/4 y) x))

rewrite76.0ms (7.5%)

Memory

10.0MiB live, 89.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	231
0	52	222
1	190	220
0	1423	216

Stop Event

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

Counts

26 → 49

Calls

Call 1

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

Outputs
#s(approx (- x (/ y 4)) x)
x
#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 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal -1/4 binary64) y x))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (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 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) y x)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal -1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x))
(/.f64 (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) y 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 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) y x)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 2 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/16 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (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))
#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 (+ (* -1/4 y) x) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (+ (* -1/4 y) x) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx (- x (/ y 4)) x)
#s(approx (- x (/ y 4)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* -1/4 y) x) x)
#s(approx (+ (* -1/4 y) x) (*.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 (+ (* -1/4 y) x) (*.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 (* -1/4 y) (*.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 (+ (* -1/4 y) x) (*.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))))
#s(approx (+ (* -1/4 y) x) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/4 binary64) (/.f64 x y))))

eval5.0ms (0.5%)

Memory: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 846 to 148 computations (82.5% saved)

prune3.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	50	3	53

Accuracy

100.0%

Counts

53 → 3

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))
✓	52.2%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
✓	49.9%	#s(approx (- x (/ y 4)) x)

Compiler

Compiled 57 to 36 computations (36.8% saved)

regimes83.0ms (8.1%)

Memory

-40.1MiB live, 40.6MiB allocated; 102ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	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)

regimes25.0ms (2.4%)

Memory

-28.1MiB live, 22.0MiB allocated; 17ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(/.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
78.8%	3	`(/.f64 y #s(literal 4 binary64))`
61.1%	5	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
79.3%	3	`x`
78.8%	3	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.4%)

Memory

17.4MiB live, 17.4MiB 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)) x)

Outputs
#s(approx (- x (/ y 4)) x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.9%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
49.9%	1	`(/.f64 y #s(literal 4 binary64))`
49.9%	1	`y`
49.9%	1	`x`

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch36.0ms (3.5%)

Memory

-7.6MiB live, 36.5MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.4875763339251972e-38	2.2553890659245308e-36
7.0ms	-9.995253355792042e+93	-1.0816648506198311e+92

Samples

27.0ms

224×

valid

Compiler

Compiled 232 to 234 computations (-0.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div!: 22.0ms (98.8% of total)

ival-sub!: 1.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

simplify11.0ms (1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	42
1	20	42

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -120000000000000002310473406021397443205560573777035021083263238079319916560322133115130609664 binary64)) #s(approx (- x (/ y 4)) x) (if (<=.f64 x #s(literal 2244866514940267/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #s(approx (- x (/ y 4)) x)))

#s(approx (- x (/ y 4)) x)

Outputs

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

(if (<=.f64 x #s(literal -120000000000000002310473406021397443205560573777035021083263238079319916560322133115130609664 binary64)) #s(approx (- x (/ y 4)) x) (if (<=.f64 x #s(literal 2244866514940267/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #s(approx (- x (/ y 4)) x)))

#s(approx (- x (/ y 4)) x)

derivations13.0ms (1.2%)

Memory

11.5MiB live, 11.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 48 to 17 computations (64.6% saved)

preprocess20.0ms (2%)

Memory: -20.7MiB live, 25.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 106 to 44 computations (58.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample589.0ms (57.6%)

explain50.0ms (4.8%)

preprocess16.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

series4.0ms (0.4%)

rewrite70.0ms (6.8%)

eval12.0ms (1.2%)

prune2.0ms (0.1%)

series3.0ms (0.3%)

rewrite76.0ms (7.5%)

eval5.0ms (0.5%)

prune3.0ms (0.3%)

regimes83.0ms (8.1%)

regimes25.0ms (2.4%)

regimes4.0ms (0.4%)

bsearch36.0ms (3.5%)

simplify11.0ms (1%)

derivations13.0ms (1.2%)

preprocess20.0ms (2%)

end0.0ms (0%)

Profiling