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

0.6MiB live, 0.6MiB 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)

sample680.0ms (45%)

Memory

32.9MiB live, 790.4MiB allocated; 154ms collecting garbage

Samples

469.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult!: 127.0ms (72.3% of total)

ival-sub!: 47.0ms (26.7% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain110.0ms (7.3%)

Memory

-27.5MiB live, 104.8MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`y`
0	-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 5.0ms (76.9% of total)

ival-sub!: 1.0ms (15.4% of total)

adjust: 0.0ms (0% of total)

preprocess30.0ms (2%)

Memory

-14.5MiB live, 42.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	68	73
2	173	73
3	362	73
4	444	73
5	456	73
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	156	7
5	175	7
0	175	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

series8.0ms (0.5%)

Memory

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

Counts

7 → 15

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

Calls

9 calls:

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

rewrite188.0ms (12.4%)

Memory

24.8MiB live, 207.2MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	214
0	63	209
1	243	209
2	1763	209
0	8432	190

Stop Event

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

Counts

22 → 74

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

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

eval7.0ms (0.5%)

Memory: 8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 867 to 231 computations (87.6% saved)

prune3.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Accuracy

100.0%

Counts

74 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
▶	54.6%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	48.2%	#s(approx (- x (* (* y 4) z)) x)

Compiler

Compiled 28 to 25 computations (10.7% saved)

series24.0ms (1.6%)

Memory

-39.8MiB live, 6.7MiB allocated; 2ms collecting garbage

Counts

10 → 25

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	z	@	-inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	0	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	y	@	inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) x) (* -4 z))

rewrite250.0ms (16.5%)

Memory

31.3MiB live, 182.8MiB allocated; 171ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	389
0	89	364
1	353	364
2	2523	364
0	8417	352

Stop Event

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

Counts

35 → 83

Calls

Call 1

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

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

eval16.0ms (1%)

Memory: -34.4MiB live, 21.3MiB allocated; 17ms collecting garbage
Compiler: Compiled 1 439 to 209 computations (85.5% saved)

prune6.0ms (0.4%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	78	3	81

Accuracy

100.0%

Counts

81 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
✓	54.6%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	48.2%	#s(approx (- x (* (* y 4) z)) x)

Compiler

Compiled 63 to 43 computations (31.7% saved)

regimes15.0ms (1%)

Memory

-11.7MiB live, 33.5MiB allocated; 6ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

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)

regimes10.0ms (0.7%)

Memory

30.9MiB live, 30.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f64 y #s(literal 4 binary64))`
99.7%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.7%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes12.0ms (0.8%)

Memory

-19.1MiB live, 26.8MiB allocated; 6ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
73.2%	3	`(*.f64 y #s(literal 4 binary64))`
80.8%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
66.0%	5	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
71.4%	3	`x`
73.2%	3	`y`
75.0%	3	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes6.0ms (0.4%)

Memory

20.3MiB live, 20.2MiB 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) z)) x)

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.2%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
48.2%	1	`x`
48.2%	1	`(*.f64 y #s(literal 4 binary64))`
48.2%	1	`y`
48.2%	1	`z`
48.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`

Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.810640336577571e-140	5.94593236894816e-122
0.0ms	-5.5428951136308835e-42	-3.513767557948274e-43

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify15.0ms (1%)

Memory

-26.1MiB live, 30.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	38	61
2	76	61
3	138	61
4	215	61
5	248	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal -7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal 5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (- x (* (* y 4) z)) x) #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))))
#s(approx (- x (* (* y 4) z)) x)

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal -7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal 5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (- x (* (* y 4) z)) x) #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))))
(if (or (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal -7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (not (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal 5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)))) #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #s(approx (- x (* (* y 4) z)) x))
#s(approx (- x (* (* y 4) z)) x)

derivations98.0ms (6.5%)

Memory

-19.1MiB live, 118.6MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 61 to 25 computations (59% saved)

preprocess34.0ms (2.2%)

Memory: 17.4MiB live, 67.7MiB allocated; 6ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 258 to 150 computations (41.9% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	27	76
1	68	73
2	173	73
3	362	73
4	444	73
5	456	73
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	156	7
5	175	7
0	175	6

Iter	Nodes	Cost
0	27	76
1	68	73
2	173	73
3	362	73
4	444	73
5	456	73
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	156	7
5	175	7
0	175	6

start0.0ms (0%)

analyze0.0ms (0%)

sample680.0ms (45%)

explain110.0ms (7.3%)

preprocess30.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.5%)

rewrite188.0ms (12.4%)

eval7.0ms (0.5%)

prune3.0ms (0.2%)

series24.0ms (1.6%)

rewrite250.0ms (16.5%)

eval16.0ms (1%)

prune6.0ms (0.4%)

regimes15.0ms (1%)

regimes10.0ms (0.7%)

regimes12.0ms (0.8%)

regimes6.0ms (0.4%)

bsearch1.0ms (0%)

simplify15.0ms (1%)

derivations98.0ms (6.5%)

preprocess34.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	76
1	68	73
2	173	73
3	362	73
4	444	73
5	456	73
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	156	7
5	175	7
0	175	6