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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze260.0ms (3.5%)

Memory

-9.9MiB live, 67.3MiB allocated

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)

sample987.0ms (13.4%)

Memory

29.8MiB live, 1 206.0MiB allocated

Samples

601.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-mult: 122.0ms (38% of total)

ival-div: 95.0ms (29.6% of total)

ival-sub: 87.0ms (27.1% of total)

exact: 8.0ms (2.5% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

explain100.0ms (1.4%)

Memory

10.9MiB live, 137.0MiB allocated

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

37.0ms	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: 7.0ms (43.2% of total)

ival-sub: 5.0ms (30.9% of total)

ival-div: 4.0ms (24.7% 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)

preprocess246.0ms (3.3%)

Memory

-9.0MiB live, 103.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	109
1	126	101
2	417	99
3	1561	81
4	5560	81
0	10	11
0	15	11
1	28	11
2	72	11
3	177	9
4	437	9
5	1003	9
6	2681	9
7	4894	9
8	5198	9
9	5208	9
10	5217	9
11	5217	9
12	5529	9
13	5738	9
14	5754	9
15	5754	9
16	5754	9
17	5786	9
18	5901	9
0	5901	8

Stop Event

1×	iter limit
1×	saturated
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 y x) #s(literal -2 binary64))

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

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)

simplify185.0ms (2.5%)

Memory

4.4MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

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	28	38
2	72	38
3	177	36
4	437	36
5	1003	36
6	2681	36
7	4894	36
8	5198	36
9	5208	36
10	5217	36
11	5217	36
12	5529	36
13	5738	36
14	5754	36
15	5754	36
16	5754	36
17	5786	36
18	5901	36
0	5901	33

Stop Event

1×	iter limit
1×	saturated
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 y x) #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)

localize22.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

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	0.02734375	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

16.0ms	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: 8.0ms

ival-mult: 3.0ms (38% of total)

ival-sub: 3.0ms (38% of total)

ival-div: 2.0ms (25.4% 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)

series44.0ms (0.6%)

Memory

-59.1MiB live, 21.8MiB allocated

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
35.0ms	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))
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	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))

simplify118.0ms (1.6%)

Memory

12.1MiB live, 168.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	380
1	390	379
2	1150	359
3	3369	315
0	8438	285

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

rewrite169.0ms (2.3%)

Memory

-7.3MiB live, 185.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	474	33
3	6858	33
0	8009	30

Stop Event

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

Counts

5 → 338

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 1 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(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)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.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 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.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))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))

eval43.0ms (0.6%)

Memory: 7.1MiB live, 79.6MiB allocated
Compiler: Compiled 9 309 to 1 381 computations (85.2% saved)

prune14.0ms (0.2%)

Memory

-13.3MiB live, 31.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	349	11	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	11	361

Accuracy

100.0%

Counts

361 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) z))) z)
	45.4%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))) (*.f64 z #s(literal 1/2 binary64)))) z)
	72.2%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
	60.7%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
▶	33.5%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
	31.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
	99.7%	(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (/.f64 #s(literal 4 binary64) z))
▶	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
	72.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶	69.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
▶	40.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 396 to 306 computations (22.7% saved)

simplify123.0ms (1.7%)

Memory

42.5MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal 4 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x 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) (-.f64 x y) #s(literal -2 binary64)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(-.f64 (/.f64 y z) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
cost-diff	1	(*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 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	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff	0	(.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) z)))
cost-diff	2	(*.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
cost-diff	2	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) z))) z)
cost-diff	8	(fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	208
0	50	220
1	89	220
2	213	182
3	618	167
4	2649	167
5	6489	167
0	8128	161

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (1.7%)

Memory

-23.7MiB live, 170.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.0	(-.f64 x y)
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
accuracy	0.109375	(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64))
accuracy	0.010097509768442016	(-.f64 (/.f64 y z) #s(literal -1/2 binary64))
accuracy	19.337286674637944	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.02734375	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy	43.676719103788905	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy	37.846540590565475	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0.01171875	(fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) z))
accuracy	0.01171875	(pow.f64 (+.f64 y x) #s(literal -1 binary64))
accuracy	0.02734375	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) z))) z)
accuracy	0.13671875	(*.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))

Samples

102.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 187 to 31 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 15.0ms (37.1% of total)

ival-mult: 13.0ms (32.2% of total)

ival-add: 4.0ms (9.9% of total)

ival-sub: 4.0ms (9.9% of total)

ival-pow: 4.0ms (9.9% of total)

exact: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

series30.0ms (0.4%)

Memory

7.5MiB live, 53.9MiB allocated

Counts

17 → 116

Calls

Call 1

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

Outputs
(- (* -1/2 z) y)
(- (+ x (* -1/2 z)) y)
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* 4 (- (* -1/2 z) y))
(+ (* 4 x) (* 4 (- (* -1/2 z) y)))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 y)
(- x y)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* x (+ 4 (* 4 (/ (- (* -1/2 z) y) x))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (+ 1 (* -1 (/ y x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 y) (* -1/2 z)) x)) 1)))
(* -1 (* x (- (* -4 (/ (- (* -1 (/ y z)) 1/2) x)) (* 4 (/ 1 z)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (* -4 (/ (+ (* -1 y) (* -1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(+ x (* -1/2 z))
(+ x (+ (* -1 y) (* -1/2 z)))
(* 4 (/ (+ x (* -1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* 4 (+ x (* -1/2 z)))
(+ (* -4 y) (* 4 (+ x (* -1/2 z))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
-2
1/2
(+ 1/2 (/ y z))
(/ y z)
(- (* 4 (/ x z)) 2)
(+ x (* -1 y))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* -4 y)
(* y (- (* 4 (/ (+ x (* -1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* y (+ (* 1/2 (/ 1 y)) (/ 1 z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x y) 1))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 4 (* -4 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ y (* 1/2 z)) z)
(/ 4 z)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(- (* 4 (/ (- x y) z)) 2)
(* -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
8.0ms	y	@	inf	((+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) z) (* (- x y) (pow (+ y x) -1)) (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (pow (+ y x) -1))
5.0ms	y	@	0	((+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) z) (* (- x y) (pow (+ y x) -1)) (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (pow (+ y x) -1))
3.0ms	y	@	-inf	((+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) z) (* (- x y) (pow (+ y x) -1)) (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (pow (+ y x) -1))
3.0ms	x	@	-inf	((+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) z) (* (- x y) (pow (+ y x) -1)) (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (pow (+ y x) -1))
2.0ms	x	@	inf	((+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) z) (* (- x y) (pow (+ y x) -1)) (* 4 (+ (* (+ y x) (* (- x y) (pow (+ y x) -1))) (* -1/2 z))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (pow (+ y x) -1))

simplify178.0ms (2.4%)

Memory

16.4MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	1357
1	1218	1292
2	3416	1142
0	8518	1048

Stop Event

1×	iter limit
1×	node limit

Counts

116 → 115

Calls

Call 1

Inputs
(- (* -1/2 z) y)
(- (+ x (* -1/2 z)) y)
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* 4 (- (* -1/2 z) y))
(+ (* 4 x) (* 4 (- (* -1/2 z) y)))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 y)
(- x y)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* x (+ 4 (* 4 (/ (- (* -1/2 z) y) x))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (+ 1 (* -1 (/ y x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 y) (* -1/2 z)) x)) 1)))
(* -1 (* x (- (* -4 (/ (- (* -1 (/ y z)) 1/2) x)) (* 4 (/ 1 z)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (* -4 (/ (+ (* -1 y) (* -1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(+ x (* -1/2 z))
(+ x (+ (* -1 y) (* -1/2 z)))
(* 4 (/ (+ x (* -1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* 4 (+ x (* -1/2 z)))
(+ (* -4 y) (* 4 (+ x (* -1/2 z))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
-2
1/2
(+ 1/2 (/ y z))
(/ y z)
(- (* 4 (/ x z)) 2)
(+ x (* -1 y))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* -4 y)
(* y (- (* 4 (/ (+ x (* -1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* y (+ (* 1/2 (/ 1 y)) (/ 1 z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x y) 1))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 4 (* -4 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ y (* 1/2 z)) z)
(/ 4 z)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

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

rewrite535.0ms (7.3%)

Memory

-15.1MiB live, 177.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	180
0	50	180
1	193	151
2	1543	151
0	8393	141

Stop Event

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

Counts

17 → 559

Calls

Call 1

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

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

eval138.0ms (1.9%)

Memory: -6.9MiB live, 149.1MiB allocated
Compiler: Compiled 23 422 to 2 946 computations (87.4% saved)

prune44.0ms (0.6%)

Memory

11.2MiB live, 49.4MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	724	3	727
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	729	9	738

Accuracy

100.0%

Counts

738 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.7%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	33.5%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	31.2%	(/.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)))
▶	69.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
	91.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) #s(literal -2 binary64)))
▶	72.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
✓	40.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 280 to 227 computations (18.9% saved)

simplify232.0ms (3.2%)

Memory

2.5MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) #s(literal -4 binary64))
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 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 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
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	(-.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	29	181
0	44	181
1	75	181
2	133	181
3	263	172
4	592	172
5	1517	172
6	3978	172
7	5499	172
8	6203	172
9	6287	172
10	6364	172
11	6446	172
12	6486	172
13	6862	172
14	7022	172
15	7022	172
16	7022	172
17	7054	172
18	7177	172
0	7177	168

Stop Event

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

localize108.0ms (1.5%)

Memory

-1.3MiB live, 110.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 (-.f64 y x) #s(literal -4 binary64))
accuracy	0.02734375	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
accuracy	25.26993611708257	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
accuracy	0.0	(/.f64 y z)
accuracy	0.010097509768442016	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy	19.337286674637944	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	17.76857676703883	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.02734375	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	44.19231141780669	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
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	0.01953125	(/.f64 (-.f64 x y) z)

Samples

57.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 20.0ms (47.5% of total)

ival-mult: 11.0ms (26.1% of total)

ival-div: 7.0ms (16.6% of total)

ival-add: 3.0ms (7.1% 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)

series27.0ms (0.4%)

Memory

-3.3MiB live, 42.8MiB allocated

Counts

17 → 73

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

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))
-2
(- (* 4 (/ x z)) 2)
(* -4 y)
(+ (* -4 y) (* 4 x))
y
(+ y (* -1 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))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (+ 4 (* -4 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -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)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ x (* -1 y))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(/ y z)
(- y x)
(* -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)))))
(* y (- (* 4 (/ x y)) 4))
(* y (+ 1 (* -1 (/ x 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)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (- x y) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(/ (+ (* -4 y) (* -2 z)) 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
13.0ms	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))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
2.0ms	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))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
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))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
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))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
2.0ms	z	@	0	((/ (* 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))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))

simplify181.0ms (2.5%)

Memory

16.7MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	550
1	522	532
2	1573	502
3	4595	430
0	8099	396

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 71

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

rewrite398.0ms (5.4%)

Memory

-5.8MiB live, 194.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	44	161
1	172	161
2	1259	161
0	8511	154

Stop Event

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

Counts

17 → 467

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

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 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64))))))
(.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.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 (pow.f64 (.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 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.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)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.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)) (fma.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)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.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)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))))
(/.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 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.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 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (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 #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 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))
(fma.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 y x)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (neg.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))) (/.f64 (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 (/.f64 (pow.f64 (*.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 #s(literal 4 binary64) (fma.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)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.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 -2 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) z) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) z) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) z) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
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(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (.f64 x (+.f64 y x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.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 x x) (+.f64 y x)))) (+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (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 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.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 (-.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 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (.f64 x x) (.f64 y (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (.f64 x x) (.f64 y (neg.f64 x)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(neg.f64 (-.f64 x y))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (.f64 x (+.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x))))))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 y x)
(+.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x))))))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval123.0ms (1.7%)

Memory: -17.6MiB live, 103.0MiB allocated
Compiler: Compiled 14 482 to 1 935 computations (86.6% saved)

prune10.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	491	4	495
Fresh	1	0	1
Picked	3	2	5
Done	1	2	3
Total	496	8	504

Accuracy

100.0%

Counts

504 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.5%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	31.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	64.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 x z (.f64 (neg.f64 z) y)) (.f64 z z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	69.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
▶	72.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	96.1%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	60.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)))
✓	40.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 146 to 119 computations (18.5% saved)

simplify136.0ms (1.9%)

Memory

0.9MiB live, 75.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	189
0	48	177
1	88	177
2	179	163
3	380	151
4	862	151
5	2536	151
6	5942	151
7	7906	151
0	8080	151

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.3%)

Memory

8.4MiB live, 164.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 z)
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 x z (.f64 (neg.f64 z) y)) (.f64 z z)) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0.5039007452111204	(fma.f64 x z (*.f64 (neg.f64 z) y))
accuracy	27.19050652545419	(/.f64 (fma.f64 x z (.f64 (neg.f64 z) y)) (.f64 z z))
accuracy	0.0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	17.76857676703883	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	2.156243807490618	(-.f64 (/.f64 x z) (/.f64 y z))
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.0	(-.f64 y x)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x))
accuracy	25.115921730490435	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)))

Samples

76.0ms

256×

valid

Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 31.0ms (60.8% of total)

ival-div: 8.0ms (15.7% of total)

ival-sub: 5.0ms (9.8% of total)

ival-add: 5.0ms (9.8% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.7%)

Memory

-25.3MiB live, 94.7MiB allocated

Counts

16 → 67

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) (- y x)) (/ -4 z) (- y x) (- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (+ (* x z) (* (neg z) y)) (* z z)) (+ (* x z) (* (neg z) y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (+ (* x z) (* (neg z) y)) (* z z)) 4) -2) (/ y z) (neg z))
7.0ms	x	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) (- y x)) (/ -4 z) (- y x) (- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (+ (* x z) (* (neg z) y)) (* z z)) (+ (* x z) (* (neg z) y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (+ (* x z) (* (neg z) y)) (* z z)) 4) -2) (/ y z) (neg z))
6.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) (- y x)) (/ -4 z) (- y x) (- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (+ (* x z) (* (neg z) y)) (* z z)) (+ (* x z) (* (neg z) y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (+ (* x z) (* (neg z) y)) (* z z)) 4) -2) (/ y z) (neg z))
5.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) (- y x)) (/ -4 z) (- y x) (- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (+ (* x z) (* (neg z) y)) (* z z)) (+ (* x z) (* (neg z) y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (+ (* x z) (* (neg z) y)) (* z z)) 4) -2) (/ y z) (neg z))
3.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) (- y x)) (/ -4 z) (- y x) (- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (+ (* x z) (* (neg z) y)) (* z z)) (+ (* x z) (* (neg z) y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (+ (* x z) (* (neg z) y)) (* z z)) 4) -2) (/ y z) (neg z))

simplify203.0ms (2.8%)

Memory

-10.7MiB live, 140.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	533
1	547	533
2	1603	501
3	5099	448
4	7751	397
0	8256	374

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

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

rewrite312.0ms (4.2%)

Memory

4.2MiB live, 198.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	161
0	48	137
1	210	135
2	1873	135
0	8663	131

Stop Event

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

Counts

16 → 709

Calls

Call 1

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

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64)))
(*.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) z) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 y y (.f64 x (+.f64 y x))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 y x) #s(literal -4 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 y x) #s(literal -1/4 binary64)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z))
(.f64 #s(literal -4 binary64) (.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y x)))
(pow.f64 (/.f64 z (*.f64 (-.f64 y x) #s(literal -4 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 #s(literal -4 binary64) z)) (.f64 y (/.f64 #s(literal -4 binary64) z)) (-.f64 (.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) z)) (.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) z))) (.f64 (.f64 y (/.f64 #s(literal -4 binary64) z)) (.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) (.f64 (/.f64 #s(literal -4 binary64) z) y) (-.f64 (.f64 (.f64 (/.f64 #s(literal -4 binary64) z) (neg.f64 x)) (.f64 (/.f64 #s(literal -4 binary64) z) (neg.f64 x))) (.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) (.f64 (/.f64 #s(literal -4 binary64) z) (neg.f64 x))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal -4 binary64) z))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) z))) (neg.f64 (fma.f64 y y (.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 y x))) (neg.f64 (.f64 z #s(literal -1/4 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 z x) y) (neg.f64 z))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (neg.f64 z) y) (-.f64 (.f64 (neg.f64 z) y) (.f64 z x)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 z x (*.f64 z y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z x (.f64 z y)) (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) (-.f64 (.f64 (neg.f64 z) y) (.f64 z x)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x (.f64 z y)) (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) (-.f64 (.f64 (neg.f64 z) y) (.f64 z x)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 z x) y) (neg.f64 z)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 z) y) (-.f64 (.f64 (neg.f64 z) y) (.f64 z x)) (pow.f64 (.f64 z x) #s(literal 2 binary64))))
(fma.f64 (.f64 y #s(literal -1 binary64)) z (.f64 z x))
(fma.f64 #s(literal -1 binary64) (.f64 z y) (.f64 z x))
(fma.f64 (neg.f64 z) y (*.f64 z x))
(fma.f64 z (neg.f64 y) (*.f64 z x))
(fma.f64 z x (*.f64 (neg.f64 z) y))
(fma.f64 y (neg.f64 z) (*.f64 z x))
(fma.f64 x z (*.f64 (neg.f64 z) y))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 z) y) (.f64 z x))) (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 z) y) (.f64 z x))))
(-.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 z x) (.f64 z y))))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 z x) (.f64 z y))))))
(-.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (fma.f64 z x (.f64 z y))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z x (.f64 z y))))
(-.f64 (.f64 z x) (.f64 z y))
(+.f64 (.f64 z x) (.f64 (neg.f64 z) y))
(+.f64 (.f64 (neg.f64 z) y) (.f64 z x))
#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 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))) #s(literal -1 binary64))
(/.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 (fma.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 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.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 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (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 #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 (fma.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 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 x y) z) #s(literal -8 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 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.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) #s(literal -4 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 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 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 64 binary64) #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 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 y x)) #s(literal -2 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 z (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 z z)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 y x)) #s(literal -2 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 z (-.f64 x y))) z) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (*.f64 z (-.f64 x y)) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 z (-.f64 x y)) z) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 z (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (.f64 z (-.f64 x y)) (/.f64 #s(literal 4 binary64) (.f64 z z)) #s(literal -2 binary64))
(fma.f64 (.f64 z (-.f64 x y)) (.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 4 binary64)) #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 (neg.f64 (*.f64 z (-.f64 x y))) z) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (.f64 z (-.f64 x y))) (.f64 z z)) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))) (/.f64 (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 (/.f64 (pow.f64 (*.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 #s(literal 4 binary64) (fma.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 -2 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 y #s(literal 1 binary64)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (+.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))

eval172.0ms (2.3%)

Memory: -12.2MiB live, 106.7MiB allocated
Compiler: Compiled 16 224 to 2 254 computations (86.1% saved)

prune13.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	527	0	527
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	527	8	535

Accuracy

100.0%

Counts

535 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.5%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	31.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	64.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 x z (.f64 (neg.f64 z) y)) (.f64 z z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	69.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	72.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	96.1%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	60.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)))
✓	40.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 506 to 212 computations (58.1% saved)

regimes83.0ms (1.1%)

Memory

-2.6MiB live, 36.9MiB allocated

Counts

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

6.0ms	z
6.0ms	(-.f64 x y)
6.0ms	x
6.0ms	y
5.0ms	(/.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	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes63.0ms (0.9%)

Memory

-24.6MiB live, 14.2MiB allocated

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

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

Calls

5 calls:

47.0ms	(-.f64 x y)
4.0ms	z
4.0ms	x
4.0ms	y
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
99.8%	1	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes18.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

5 calls:

4.0ms	z
3.0ms	x
3.0ms	(-.f64 x y)
3.0ms	y
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
86.8%	3	`x`
92.5%	3	`y`
88.9%	3	`z`
99.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
90.5%	4	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.1%	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

7.8MiB live, 7.8MiB allocated

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.5%	3	`y`
74.2%	2	`(/.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)

regimes36.0ms (0.5%)

Memory

-26.5MiB live, 11.8MiB allocated

Counts

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

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

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

Calls

3 calls:

31.0ms	(-.f64 x y)
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
74.1%	2	`(-.f64 x y)`
72.2%	1	`z`
88.0%	3	`y`

Compiler

Compiled 5 to 10 computations (-100% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

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

Calls

5 calls:

2.0ms	z
2.0ms	(-.f64 x y)
2.0ms	y
2.0ms	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
61.4%	3	`z`
59.6%	3	`(-.f64 x y)`
73.2%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
57.7%	3	`x`
69.6%	8	`y`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

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
69.0%	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)

regimes73.0ms (1%)

Memory

-27.9MiB live, 12.9MiB allocated

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:

68.0ms	(-.f64 x y)
1.0ms	x
1.0ms	y
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
1.0ms	z

Results

Accuracy	Segments	Branch
40.9%	1	`x`
40.9%	1	`(-.f64 x y)`
40.9%	1	`z`
40.9%	1	`y`
40.9%	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

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2827442498.876079	1428176340081.7688
0.0ms	-442394660.2461552	-2.0006245693718077

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2827442498.876079	1428176340081.7688
0.0ms	-442394660.2461552	-2.0006245693718077

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch85.0ms (1.2%)

Memory

8.7MiB live, 44.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
70.0ms	1.535751144492987e+39	5.382010124315372e+51
12.0ms	-5.553675167227449e+135	-1.2702057368777019e+132

Samples

70.0ms

288×

valid

Compiler

Compiled 662 to 592 computations (10.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 58.0ms (91.6% of total)

ival-sub: 3.0ms (4.7% of total)

ival-div: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.409526517208717e+158	2.6458203214392876e+162
3.0ms	-5.5576850075963583e+188	-4.879872593803341e+188

Samples

8.0ms

160×

valid

Compiler

Compiled 344 to 316 computations (8.1% saved)

Precisions

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

ival-sub: 2.0ms (42.3% of total)

ival-mult: 2.0ms (42.3% of total)

ival-div: 1.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.409526517208717e+158	2.6458203214392876e+162
0.0ms	-5.5576850075963583e+188	-4.879872593803341e+188

Compiler

Compiled 344 to 316 computations (8.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.374664769785356e+87	1.9177157690324875e+89
0.0ms	-1.9999999808178472	3.2260994365293416
0.0ms	-155543838417124130.0	-76695619773264450.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999999808178472	3.2260994365293416
0.0ms	-442394660.2461552	-2.0006245693718077

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify129.0ms (1.8%)

Memory

-10.3MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	469
1	114	469
2	176	469
3	292	469
4	604	445
5	1616	445
6	4469	445
7	7083	445

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)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 -400000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 y x) #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 5000000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #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 -400000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 5000000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)))))
(if (<=.f64 y #s(literal -1300000000000000003839240101627451217704207545034675907611215602659148564344596888759644522781388286046189431082545233865137497047040 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #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)))))
(if (<=.f64 y #s(literal -500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 y #s(literal -500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 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 #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 -100000000000000000 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 -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 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.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 #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 -400000000 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)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 -400000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 y x) #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 5000000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #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 -400000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 5000000000 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 y x) #s(literal -4 binary64))) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x 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 -400000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 5000000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)))))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -400000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 5000000000 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x))) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -1300000000000000003839240101627451217704207545034675907611215602659148564344596888759644522781388286046189431082545233865137497047040 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #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)))))
(if (or (<=.f64 y #s(literal -1300000000000000003839240101627451217704207545034675907611215602659148564344596888759644522781388286046189431082545233865137497047040 binary64)) (not (<=.f64 y #s(literal 1100000000000000064848534436950761900343296 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 y #s(literal -500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (not (<=.f64 y #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 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) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 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 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 y #s(literal -500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (not (<=.f64 y #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 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) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #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) x)) 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 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.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 #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 -400000000 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 -400000000 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))

soundness1.3s (17.7%)

Memory

-11.9MiB live, 717.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	550
1	522	532
2	1573	502
3	4595	430
0	8099	396
0	127	380
1	390	379
2	1150	359
3	3369	315
0	8438	285
0	396	1357
1	1218	1292
2	3416	1142
0	8518	1048
0	29	161
0	44	161
1	172	161
2	1259	161
0	8511	154

Stop Event

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

Compiler

Compiled 609 to 244 computations (59.9% saved)

preprocess86.0ms (1.2%)

Memory: -3.8MiB live, 152.3MiB allocated
Compiler: Compiled 986 to 206 computations (79.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze260.0ms (3.5%)

sample987.0ms (13.4%)

explain100.0ms (1.4%)

preprocess246.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify185.0ms (2.5%)

localize22.0ms (0.3%)

series44.0ms (0.6%)

simplify118.0ms (1.6%)

rewrite169.0ms (2.3%)

eval43.0ms (0.6%)

prune14.0ms (0.2%)

simplify123.0ms (1.7%)

localize127.0ms (1.7%)

series30.0ms (0.4%)

simplify178.0ms (2.4%)

rewrite535.0ms (7.3%)

eval138.0ms (1.9%)

prune44.0ms (0.6%)

simplify232.0ms (3.2%)

localize108.0ms (1.5%)

series27.0ms (0.4%)

simplify181.0ms (2.5%)

rewrite398.0ms (5.4%)

eval123.0ms (1.7%)

prune10.0ms (0.1%)

simplify136.0ms (1.9%)

localize97.0ms (1.3%)

series54.0ms (0.7%)

simplify203.0ms (2.8%)

rewrite312.0ms (4.2%)

eval172.0ms (2.3%)

prune13.0ms (0.2%)

regimes83.0ms (1.1%)

regimes63.0ms (0.9%)

regimes18.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes36.0ms (0.5%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes73.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch85.0ms (1.2%)

bsearch17.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify129.0ms (1.8%)

soundness1.3s (17.7%)

preprocess86.0ms (1.2%)

end0.0ms (0%)

Profiling