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

0.8MiB live, 0.8MiB 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)

sample1.0s (47.8%)

Memory

-24.6MiB live, 1 212.4MiB allocated; 365ms collecting garbage

Samples

613.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-mult: 194.0ms (54.7% of total)

ival-sub: 145.0ms (40.9% of total)

ival-true: 5.0ms (1.4% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain89.0ms (4.3%)

Memory

4.0MiB live, 94.2MiB allocated; 14ms 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

25.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (68.5% of total)

ival-sub: 2.0ms (19.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess42.0ms (2%)

Memory

-7.7MiB live, 50.2MiB allocated; 6ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 (0.4%)

Memory

19.9MiB live, 19.9MiB 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)

simplify142.0ms (6.8%)

Memory

-10.6MiB live, 127.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	169
1	120	169
2	296	169
3	884	169
4	3326	169
5	7772	169
0	8078	151

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

rewrite223.0ms (10.6%)

Memory

43.8MiB live, 228.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	30	19
2	200	19
3	2058	19
0	9270	18

Stop Event

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

Counts

7 → 365

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
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))
(.f64 (/.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 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))
(.f64 (/.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (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 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))))
(.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (/.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)) (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y))) (.f64 x (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64)))) (.f64 x (.f64 (neg.f64 (neg.f64 y)) (.f64 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 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))))))))
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(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 binary64))) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 binary64))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))))
(+.f64 (neg.f64 x) (.f64 (.f64 #s(literal -4 binary64) y) z))
(+.f64 (neg.f64 x) (.f64 z (.f64 #s(literal 4 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (neg.f64 x))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) x)
(+.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x)
(+.f64 x (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)))
(+.f64 x (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))))
(+.f64 x (.f64 (neg.f64 z) (.f64 #s(literal -4 binary64) y)))
(+.f64 x (.f64 (.f64 #s(literal -4 binary64) y) z))
(+.f64 x (.f64 z (.f64 #s(literal 4 binary64) y)))
x
(.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))))
(.f64 (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 z)))
(.f64 (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 y)))
(.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))))
(.f64 (fabs.f64 (fabs.f64 (.f64 z y))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 z) #s(literal 4 binary64))) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 (neg.f64 z) y)) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 z #s(literal -4 binary64))) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 z (neg.f64 y))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 y) z)) #s(literal 4 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z) y)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) y) z)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 y y) (.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 z y))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 z (*.f64 #s(literal 4 binary64) y)))))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 4 binary64))) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) y) z)) (sqrt.f64 (.f64 (*.f64 #s(literal -4 binary64) y) z)))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) y)) (sqrt.f64 (.f64 z (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 4 binary64) y))) (sqrt.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) y) (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) y)) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 y) #s(literal 4 binary64)))
(.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(.f64 (fabs.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 #s(literal -4 binary64) z)))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 z) #s(literal 4 binary64)))
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 #s(literal 4 binary64) y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z))))
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) z)
(.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (.f64 z y))))
(.f64 #s(literal 4 binary64) (fabs.f64 (.f64 (neg.f64 y) z)))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (fabs.f64 (.f64 z y)))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))
(sqrt.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))
(fabs.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y))))
(+.f64 (cosh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))) (sinh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(*.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

eval79.0ms (3.8%)

Memory: -40.2MiB live, 62.5MiB allocated; 29ms collecting garbage
Compiler: Compiled 9 813 to 847 computations (91.4% saved)

prune7.0ms (0.3%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	370	3	373
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	371	3	374

Accuracy

100.0%

Counts

374 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
▶	49.6%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	53.1%	#s(approx (- x (* (* y 4) z)) x)

Compiler

Compiled 28 to 25 computations (10.7% saved)

series33.0ms (1.6%)

Memory

-29.9MiB live, 16.7MiB allocated; 3ms collecting garbage

Counts

9 → 24

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 z y) #s(literal -4 binary64) x)

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

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	y	@	inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* z y) -4) x))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* z y) -4) x))
1.0ms	z	@	-inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* z y) -4) x))
1.0ms	z	@	0	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* z y) -4) x))
1.0ms	z	@	inf	((- x (* (* y 4) z)) x (- x (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* z y) -4) x))

simplify116.0ms (5.6%)

Memory

-4.7MiB live, 188.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	296
1	178	296
2	444	296
3	1153	296
4	4170	296
0	8172	262

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite151.0ms (7.2%)

Memory

42.6MiB live, 182.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	16	40
1	51	38
2	369	38
0	4071	38

Stop Event

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

Counts

9 → 138

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 z y) #s(literal -4 binary64) x)

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

eval25.0ms (1.2%)

Memory: -4.8MiB live, 40.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 991 to 418 computations (91.6% saved)

prune11.0ms (0.5%)

Memory

-23.3MiB live, 21.5MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	155	3	158

Accuracy

100.0%

Counts

158 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
✓	49.6%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	53.1%	#s(approx (- x (* (* y 4) z)) x)

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes11.0ms (0.5%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms 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 z y) #s(literal -4 binary64) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

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

Calls

6 calls:

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

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)

regimes13.0ms (0.6%)

Memory

-24.7MiB live, 28.3MiB allocated; 8ms 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:

6.0ms	y
1.0ms	x
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
1.0ms	z

Results

Accuracy	Segments	Branch
77.0%	3	`(*.f64 y #s(literal 4 binary64))`
80.5%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
68.7%	5	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
73.4%	3	`x`
77.0%	3	`y`
72.3%	3	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes7.0ms (0.4%)

Memory

-19.3MiB live, 27.7MiB allocated; 2ms 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	(*.f64 y #s(literal 4 binary64))
1.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.1%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
53.1%	1	`z`
53.1%	1	`x`
53.1%	1	`(*.f64 y #s(literal 4 binary64))`
53.1%	1	`y`
53.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`

Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2834497353891208e-153	2.3047290165662437e-139
0.0ms	-3.1225979824465125e-29	-1.4661446186944706e-36

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify12.0ms (0.5%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	31	54
2	55	54
3	105	54
4	179	54
5	217	54

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) #s(literal -7136238463529799/356811923176489970264571492362373784095686656 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 7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 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
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal -7136238463529799/356811923176489970264571492362373784095686656 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 7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 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 -7136238463529799/356811923176489970264571492362373784095686656 binary64)) (not (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) #s(literal 7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 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)

derivations104.0ms (5%)

Memory

-10.7MiB live, 134.1MiB allocated; 20ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 54 to 23 computations (57.4% saved)

preprocess21.0ms (1%)

Memory: -8.1MiB live, 85.5MiB allocated; 5ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 134 to 72 computations (46.3% 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%)

sample1.0s (47.8%)

explain89.0ms (4.3%)

preprocess42.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.4%)

simplify142.0ms (6.8%)

rewrite223.0ms (10.6%)

eval79.0ms (3.8%)

prune7.0ms (0.3%)

series33.0ms (1.6%)

simplify116.0ms (5.6%)

rewrite151.0ms (7.2%)

eval25.0ms (1.2%)

prune11.0ms (0.5%)

regimes11.0ms (0.5%)

regimes13.0ms (0.6%)

regimes7.0ms (0.4%)

bsearch1.0ms (0%)

simplify12.0ms (0.5%)

derivations104.0ms (5%)

preprocess21.0ms (1%)

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