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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample692.0ms (66.2%)

Memory

-4.5MiB live, 754.6MiB allocated; 145ms collecting garbage

Samples

311.0ms	7 591×	0	valid
14.0ms	317×	1	valid
12.0ms	219×	2	valid
9.0ms	129×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult!: 67.0ms (64.6% of total)

ival-sub!: 25.0ms (24.1% of total)

adjust: 12.0ms (11.6% of total)

Bogosity

explain58.0ms (5.6%)

Memory

31.9MiB live, 135.4MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
-	-	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 8 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

18.0ms	478×	0	valid
1.0ms	14×	2	valid
1.0ms	18×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 3.0ms (62.7% of total)

ival-sub!: 2.0ms (41.8% of total)

adjust: 1.0ms (20.9% of total)

preprocess9.0ms (0.9%)

Memory

-35.2MiB live, 12.1MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	36	32
2	78	32
3	141	32
4	193	32
5	201	32

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Compiler

Compiled 14 to 14 computations (0% saved)

series4.0ms (0.3%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

7 → 11

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y

Outputs
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* (/ 3 8) y) #s(hole binary64 (* 3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
1.0ms	y	@	-inf	((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
1.0ms	x	@	-inf	((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
0.0ms	x	@	inf	((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
0.0ms	y	@	0	((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)

rewrite80.0ms (7.7%)

Memory

23.1MiB live, 70.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	126
0	46	123
1	162	122
0	1219	109

Stop Event

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

Counts

18 → 37

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* (/ 3 8) y) #s(hole binary64 (* 3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x))) (neg.f64 (fma.f64 #s(literal 3/8 binary64) y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3/8 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x)) (fma.f64 #s(literal 3/8 binary64) y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3/8 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 9/64 binary64) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) x))))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x)))
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -3/8 binary64)))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 3/8 binary64)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(*.f64 #s(literal 3/8 binary64) y)
(*.f64 y #s(literal 3/8 binary64))
(neg.f64 (*.f64 #s(literal -3/8 binary64) y))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx x x)
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -3/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 3/8 binary64) #s(literal -1 binary64))))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx (* (/ 3 8) y) (*.f64 #s(literal 3/8 binary64) y))
#s(approx y y)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 3/8 binary64)) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 3/8 binary64) (/.f64 x y))))

eval4.0ms (0.3%)

Memory: 8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 452 to 101 computations (77.7% saved)

prune14.0ms (1.4%)

Memory

-41.6MiB live, 5.9MiB allocated; 1ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Accuracy

100.0%

Counts

37 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	50.3%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
▶	51.6%	#s(approx (- x (* (/ 3 8) y)) x)

Compiler

Compiled 24 to 22 computations (8.3% saved)

series3.0ms (0.3%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

7 → 18

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) x)
x
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -3/8 y)))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* -3/8 y) #s(hole binary64 (* -3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
1.0ms	y	@	inf	((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
0.0ms	x	@	-inf	((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
0.0ms	x	@	inf	((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
0.0ms	y	@	0	((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))

rewrite57.0ms (5.5%)

Memory

-0.4MiB live, 91.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	221
0	51	202
1	182	200
0	1303	196

Stop Event

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

Counts

25 → 48

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) x)
x
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -3/8 y)))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* -3/8 y) #s(hole binary64 (* -3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))

Outputs
#s(approx (- x (* (/ 3 8) y)) x)
x
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 y #s(literal -3/8 binary64))
(neg.f64 (*.f64 y #s(literal 3/8 binary64)))
#s(literal -3/8 binary64)
y
(/.f64 (neg.f64 (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (fma.f64 #s(literal -3/8 binary64) y x))) (neg.f64 (fma.f64 y #s(literal 3/8 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal 9/64 binary64) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 9/64 binary64) (.f64 x (fma.f64 y #s(literal 3/8 binary64) x)))))
(/.f64 (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (fma.f64 #s(literal -3/8 binary64) y x)) (fma.f64 y #s(literal 3/8 binary64) x))
(/.f64 (fma.f64 (.f64 y y) #s(literal 9/64 binary64) (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 9/64 binary64) (.f64 x (fma.f64 y #s(literal 3/8 binary64) x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 3/8 binary64) x)) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 y #s(literal 3/8 binary64) x)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -3/8 binary64)))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 9/64 binary64) (.f64 x (fma.f64 y #s(literal 3/8 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 9/64 binary64) (*.f64 x (fma.f64 y #s(literal 3/8 binary64) x)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 3/8 binary64)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx x x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -3/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -3/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 3/8 binary64) #s(literal -1 binary64))))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 3/8 binary64) #s(literal -1 binary64))))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx (* -3/8 y) (*.f64 #s(literal -3/8 binary64) y))
#s(approx y y)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 3/8 binary64)) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 3/8 binary64)) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 3/8 binary64) (/.f64 x y))))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 3/8 binary64) (/.f64 x y))))

eval4.0ms (0.4%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 592 to 112 computations (81.1% saved)

prune3.0ms (0.3%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	43	3	46

Accuracy

100.0%

Counts

46 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	50.3%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
✓	51.6%	#s(approx (- x (* (/ 3 8) y)) x)

Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes9.0ms (0.8%)

Memory

-21.1MiB live, 26.1MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)

Calls

4 calls:

3.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
100.0%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes6.0ms (0.5%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Calls

4 calls:

1.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms	y

Results

Accuracy	Segments	Branch
78.7%	3	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
57.5%	3	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
78.4%	3	`x`
78.7%	3	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes4.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) x)

Outputs
#s(approx (- x (* (/ 3 8) y)) x)

Calls

4 calls:

1.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.6%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
51.6%	1	`x`
51.6%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
51.6%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch17.0ms (1.6%)

Memory

-9.3MiB live, 37.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.950096216531867e+76	3.2869851191478356e+78
9.0ms	-4.4214862455340637e+52	-4.705020717803494e+51

Samples

6.0ms	196×	0	valid
1.0ms	9×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 270 to 272 computations (-0.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub!: 1.0ms (51.6% of total)

ival-mult!: 1.0ms (51.6% of total)

adjust: 0.0ms (0% of total)

derivations65.0ms (6.2%)

Memory

-33.8MiB live, 20.8MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 52 to 18 computations (65.4% saved)

preprocess15.0ms (1.5%)

Memory: 34.8MiB live, 34.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 118 to 50 computations (57.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample692.0ms (66.2%)

explain58.0ms (5.6%)

preprocess9.0ms (0.9%)

series4.0ms (0.3%)

rewrite80.0ms (7.7%)

eval4.0ms (0.3%)

prune14.0ms (1.4%)

series3.0ms (0.3%)

rewrite57.0ms (5.5%)

eval4.0ms (0.4%)

prune3.0ms (0.3%)

regimes9.0ms (0.8%)

regimes6.0ms (0.5%)

regimes4.0ms (0.4%)

bsearch17.0ms (1.6%)

derivations65.0ms (6.2%)

preprocess15.0ms (1.5%)

end0.0ms (0%)

Profiling