Metrics for Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

start0.0ms (0%)

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

analyze113.0ms (2.4%)

Memory

-23.7MiB live, 123.3MiB allocated; 83ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.0s (22%)

Memory

48.4MiB live, 1 393.4MiB allocated; 291ms collecting garbage

Samples

654.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 389.0ms

ival-sub: 172.0ms (44.3% of total)

ival-mult: 107.0ms (27.5% of total)

ival-div: 91.0ms (23.4% of total)

exact: 8.0ms (2.1% of total)

ival-true: 5.0ms (1.3% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain169.0ms (3.6%)

Memory

-0.2MiB live, 157.7MiB allocated; 61ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`z`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
-	-	`y`
-	-	`(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))`
-	-	`(*.f64 z #s(literal 1/2 binary64))`
-	-	`(-.f64 x y)`
-	-	`#s(literal 1/2 binary64)`
-	-	`(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 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

79.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38% of total)

ival-sub: 5.0ms (31.7% of total)

ival-div: 3.0ms (19% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess196.0ms (4.1%)

Memory

14.1MiB live, 200.3MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	108
1	96	103
2	292	103
3	783	85
4	2011	85
5	5061	85
0	10	11
0	15	11
1	24	11
2	54	11
3	124	9
4	291	9
5	908	9
6	2529	9
7	4641	9
0	8108	8

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))

Compiler

Compiled 11 to 10 computations (9.1% 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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify163.0ms (3.4%)

Memory

-3.9MiB live, 83.8MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
cost-diff	1	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	2	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	15	38
1	24	38
2	54	38
3	124	36
4	291	36
5	908	36
6	2529	36
7	4641	36
0	8108	33

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)

localize56.0ms (1.2%)

Memory

-18.6MiB live, 83.5MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z #s(literal 1/2 binary64))
accuracy	0.0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.00390625	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
accuracy	0.015625	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

49.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 25.0ms (61.3% of total)

ival-mult: 12.0ms (29.4% of total)

ival-sub: 3.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

5 → 50

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))

Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify232.0ms (4.9%)

Memory

2.6MiB live, 237.1MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	444
1	408	406
2	1498	389
3	5723	389
0	8325	354

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

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

rewrite366.0ms (7.7%)

Memory

-29.0MiB live, 348.0MiB allocated; 155ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	51	33
2	386	33
3	4970	33
0	8332	30

Stop Event

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

Counts

5 → 166

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))

Outputs
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (neg.f64 z)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal 4 binary64) (neg.f64 z)))
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(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) z))

eval81.0ms (1.7%)

Memory: 2.2MiB live, 47.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 337 to 853 computations (84% saved)

prune16.0ms (0.3%)

Memory

-27.8MiB live, 17.7MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	7	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	7	197

Accuracy

100.0%

Counts

197 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.7%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
▶	34.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	35.4%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	100.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
	68.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶	67.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
▶	34.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 232 to 196 computations (15.5% saved)

simplify104.0ms (2.2%)

Memory

-11.3MiB live, 135.7MiB allocated; 24ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal -4 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
cost-diff	0	(*.f64 #s(literal 4 binary64) x)
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) z)
cost-diff	0	(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	154
0	37	154
1	58	154
2	101	154
3	199	145
4	453	145
5	1175	145
6	3313	145
0	8025	141

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
x
y
z
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(literal -2 binary64)

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
x
y
z
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
x
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(literal -2 binary64)

localize112.0ms (2.4%)

Memory

4.8MiB live, 151.8MiB allocated; 15ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy	20.62495110050164	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.015625	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy	42.544592058899596	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.015625	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	42.091065770231204	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	41.89675663278183	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0.0	(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0.015625	(/.f64 (-.f64 x y) z)

Samples

97.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 124 to 22 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 45.0ms (80.7% of total)

ival-div: 5.0ms (9% of total)

ival-sub: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.8%)

Memory

17.8MiB live, 63.9MiB allocated; 4ms collecting garbage

Counts

14 → 56

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)

Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(* -1 y)
(- x y)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(/ x z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- (* 4 (/ x z)) 2)
(+ x (* -1 y))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
-2
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x y) 1))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (- x y) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z))
4.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z))
2.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z))
1.0ms	x	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z))

simplify153.0ms (3.2%)

Memory

8.1MiB live, 202.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	512
1	466	448
2	1707	402
3	6314	402
0	8340	365

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 55

Calls

Call 1

Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(* -1 y)
(- x y)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(/ x z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- (* 4 (/ x z)) 2)
(+ x (* -1 y))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
-2
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x y) 1))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (- x y) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

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

rewrite258.0ms (5.4%)

Memory

-19.7MiB live, 163.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	138
0	37	138
1	116	138
2	797	138
0	8531	131

Stop Event

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

Counts

14 → 159

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))))) (.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))))) (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) (-.f64 (.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (.f64 (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))) (.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))) #s(literal -8 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z)))) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (-.f64 x y) z))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x y) z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 (-.f64 x y) z)) #s(literal -8 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (.f64 #s(literal 4 binary64) (/.f64 y z)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) (-.f64 (.f64 (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -4 binary64) z) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))) #s(literal -8 binary64))) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -4 binary64) z) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 y z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 y z))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -4 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -4 binary64)) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y z)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) y) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -4 binary64) z) y))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 y z)))
(+.f64 (/.f64 #s(literal -8 binary64) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 y z)))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 y z)))) (/.f64 #s(literal -8 binary64) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal -4 binary64) z)))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(literal 4 binary64) (neg.f64 z))
(neg.f64 (/.f64 #s(literal 4 binary64) z))

eval50.0ms (1%)

Memory: 7.9MiB live, 50.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 646 to 778 computations (88.3% saved)

prune6.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	187	6	193

Accuracy

100.0%

Counts

193 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	34.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	35.4%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	68.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	67.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	34.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 102 to 84 computations (17.6% saved)

simplify125.0ms (2.6%)

Memory

1.8MiB live, 207.1MiB allocated; 17ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) #s(literal 4 binary64))
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ (- x y) z) (/.f64 x z))
cost-diff	0	(fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	127
0	33	127
1	50	127
2	90	127
3	199	123
4	444	123
5	1288	123
6	3765	123
0	8123	119

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
#s(literal -4 binary64)
(/.f64 y z)
y
z
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))
#s(approx (/ (- x y) z) (/.f64 x z))
(/.f64 x z)
x
z
#s(literal 4 binary64)
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
x
y
#s(literal 4 binary64)
z

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
#s(literal -4 binary64)
(/.f64 y z)
y
z
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))
#s(approx (/ (- x y) z) (/.f64 x z))
(/.f64 x z)
x
z
#s(literal 4 binary64)
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
x
y
#s(literal 4 binary64)
z

localize129.0ms (2.7%)

Memory

-23.4MiB live, 118.4MiB allocated; 14ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) #s(literal 4 binary64))
accuracy	0.015625	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
accuracy	22.03169852100026	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
accuracy	0.0	(fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	29.776014497876005	#s(approx (/ (- x y) z) (/.f64 x z))
accuracy	0.0	(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
accuracy	0.0	(/.f64 y z)
accuracy	20.62495110050164	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))

Samples

73.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 91 to 22 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (33.7% of total)

ival-div: 7.0ms (29.5% of total)

ival-sub: 6.0ms (25.3% of total)

ival-add: 2.0ms (8.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.4%)

Memory

-9.5MiB live, 33.6MiB allocated; 12ms collecting garbage

Counts

11 → 61

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 y z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))
#s(approx (/ (- x y) z) (/.f64 x z))
(/.f64 x z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)

Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(/ x z)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 y)
(+ (* -4 y) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-2
(/ y z)
(- (* 4 (/ x z)) 2)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (- x y) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
2.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
1.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
1.0ms	x	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
1.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))

simplify194.0ms (4.1%)

Memory

0.6MiB live, 283.7MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	541
1	513	481
2	1843	435
3	6682	435
0	8222	396

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

Calls

Call 1

Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(/ x z)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 y)
(+ (* -4 y) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-2
(/ y z)
(- (* 4 (/ x z)) 2)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (- x y) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

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

rewrite211.0ms (4.5%)

Memory

13.7MiB live, 287.1MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	33	115
1	108	115
2	776	115
0	8613	111

Stop Event

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

Counts

11 → 129

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 y z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))
#s(approx (/ (- x y) z) (/.f64 x z))
(/.f64 x z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)

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

eval18.0ms (0.4%)

Memory: 42.8MiB live, 42.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 476 to 676 computations (89.6% saved)

prune31.0ms (0.6%)

Memory

-40.5MiB live, 17.7MiB allocated; 7ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	159	6	165

Accuracy

100.0%

Counts

165 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	34.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	35.4%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	68.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	67.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	34.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 271 to 130 computations (52% saved)

regimes18.0ms (0.4%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))

Calls

5 calls:

3.0ms	z
3.0ms	y
3.0ms	(-.f64 x y)
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 x y)`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes44.0ms (0.9%)

Memory

-14.2MiB live, 32.8MiB allocated; 1ms collecting garbage

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)

Outputs

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)

Calls

5 calls:

32.0ms	y
3.0ms	z
3.0ms	(-.f64 x y)
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
85.3%	4	`(-.f64 x y)`
99.1%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
91.2%	3	`x`
89.0%	3	`y`
89.1%	3	`z`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))

Outputs

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
91.2%	3	`x`
74.6%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes25.0ms (0.5%)

Memory

-30.5MiB live, 14.5MiB allocated; 4ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))

Outputs

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)

Calls

3 calls:

21.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
71.7%	3	`y`
67.8%	1	`z`
84.1%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

3 → 4

Calls

Call 1

Inputs

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)

Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)

Calls

5 calls:

2.0ms	(-.f64 x y)
2.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
60.8%	4	`z`
60.5%	6	`y`
69.4%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
51.5%	3	`(-.f64 x y)`
61.9%	4	`x`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

Outputs

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

Calls

1 calls:

1.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
66.7%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes6.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Calls

5 calls:

1.0ms	y
1.0ms	z
1.0ms	(-.f64 x y)
1.0ms	x
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
34.5%	1	`(-.f64 x y)`
34.5%	1	`y`
34.5%	1	`z`
34.5%	1	`x`
34.5%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	88045.61855000697	151069255826625.56
0.0ms	-117796001652067060.0	-446592.4202004083

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch53.0ms (1.1%)

Memory

3.9MiB live, 47.8MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0503870070694377e+23	3.4737403484263176e+24
39.0ms	-5.874033124558948e+84	-7.288401846880324e+72

Samples

39.0ms

272×

valid

Compiler

Compiled 728 to 594 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 3.0ms (35.7% of total)

ival-mult: 3.0ms (35.7% of total)

ival-div: 2.0ms (23.8% 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)

bsearch65.0ms (1.4%)

Memory

-20.2MiB live, 37.5MiB allocated; 33ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.476751219794829e+78	8.849232543153308e+85
48.0ms	-6.79941123280483e+192	-3.9875169516820075e+185

Samples

17.0ms

288×

valid

Compiler

Compiled 608 to 556 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (32% of total)

ival-mult: 3.0ms (32% of total)

ival-div: 2.0ms (21.3% 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)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.080238077696759e+294	4.228086207298386e+295
0.0ms	-1.9579895223358295	88045.61855000697
0.0ms	-117796001652067060.0	-446592.4202004083

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9579895223358295	88045.61855000697
0.0ms	-117796001652067060.0	-446592.4202004083

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify143.0ms (3%)

Memory

-9.5MiB live, 129.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	353
1	96	353
2	138	353
3	221	353
4	385	337
5	781	337
6	1748	337
7	3309	337

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 x y) #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 100000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)))
(if (<=.f64 x #s(literal -224999999999999998536494929636303590995375339118279673279748511164264349696 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 440000000000000016777216 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -430000000000000009350348631707496014335527653046432586790303669150616891763581518494549701309784763597207360751162800210168109343923099031351930979004638631494737214501991216661808545792 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 1300000000000000053528635533830153877434835195609178839317738884172668049339113799680 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 x y) #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 100000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 100000 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 x y) #s(literal 4 binary64))) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -224999999999999998536494929636303590995375339118279673279748511164264349696 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 440000000000000016777216 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64)))))
(if (or (<=.f64 x #s(literal -224999999999999998536494929636303590995375339118279673279748511164264349696 binary64)) (not (<=.f64 x #s(literal 440000000000000016777216 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (/ (- x y) z) (/.f64 x z)) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -430000000000000009350348631707496014335527653046432586790303669150616891763581518494549701309784763597207360751162800210168109343923099031351930979004638631494737214501991216661808545792 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 1300000000000000053528635533830153877434835195609178839317738884172668049339113799680 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (or (<=.f64 x #s(literal -430000000000000009350348631707496014335527653046432586790303669150616891763581518494549701309784763597207360751162800210168109343923099031351930979004638631494737214501991216661808545792 binary64)) (not (<=.f64 x #s(literal 1300000000000000053528635533830153877434835195609178839317738884172668049339113799680 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

derivations426.0ms (9%)

Memory

-2.5MiB live, 374.1MiB allocated; 50ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 353 to 71 computations (79.9% saved)

preprocess47.0ms (1%)

Memory: 28.8MiB live, 128.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 754 to 184 computations (75.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze113.0ms (2.4%)

sample1.0s (22%)

explain169.0ms (3.6%)

preprocess196.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify163.0ms (3.4%)

localize56.0ms (1.2%)

series11.0ms (0.2%)

simplify232.0ms (4.9%)

rewrite366.0ms (7.7%)

eval81.0ms (1.7%)

prune16.0ms (0.3%)

simplify104.0ms (2.2%)

localize112.0ms (2.4%)

series38.0ms (0.8%)

simplify153.0ms (3.2%)

rewrite258.0ms (5.4%)

eval50.0ms (1%)

prune6.0ms (0.1%)

simplify125.0ms (2.6%)

localize129.0ms (2.7%)

series18.0ms (0.4%)

simplify194.0ms (4.1%)

rewrite211.0ms (4.5%)

eval18.0ms (0.4%)

prune31.0ms (0.6%)

regimes18.0ms (0.4%)

regimes44.0ms (0.9%)

regimes6.0ms (0.1%)

regimes25.0ms (0.5%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch53.0ms (1.1%)

bsearch65.0ms (1.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify143.0ms (3%)

derivations426.0ms (9%)

preprocess47.0ms (1%)

end0.0ms (0%)

Profiling