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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze47.0ms (0.7%)

Memory

3.3MiB live, 78.1MiB 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)

sample946.0ms (13.9%)

Memory

-7.2MiB live, 1 198.8MiB allocated

Samples

561.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-sub: 125.0ms (40.7% of total)

ival-mult: 103.0ms (33.5% of total)

ival-div: 60.0ms (19.5% of total)

exact: 9.0ms (2.9% of total)

ival-true: 7.0ms (2.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain115.0ms (1.7%)

Memory

0.7MiB live, 160.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`	o/n	1	0
↳	`(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))`	overflow	2

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 129 to 44 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (42.2% of total)

ival-sub: 5.0ms (30.2% of total)

ival-div: 4.0ms (24.1% of total)

exact: 1.0ms (6% of total)

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

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

preprocess231.0ms (3.4%)

Memory

16.7MiB live, 87.4MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.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)

simplify194.0ms (2.8%)

Memory

4.1MiB live, 88.5MiB 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	128	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	320	(/.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)

localize25.0ms (0.4%)

Memory

-2.6MiB live, 34.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
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	0.26109939124537795	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

19.0ms

256×

valid

Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions

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

ival-sub: 3.0ms (37.2% of total)

ival-mult: 3.0ms (37.2% of total)

ival-div: 2.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB 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
2.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify157.0ms (2.3%)

Memory

3.2MiB live, 199.6MiB 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)))

rewrite378.0ms (5.5%)

Memory

-28.7MiB live, 252.8MiB 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)))
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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))

eval44.0ms (0.7%)

Memory: -1.2MiB live, 83.0MiB allocated
Compiler: Compiled 9 309 to 1 381 computations (85.2% saved)

prune9.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	352	8	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	353	8	361

Accuracy

100.0%

Counts

361 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 x (/.f64 x (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))) z)
▶	61.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
	33.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	34.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	34.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
	72.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
▶	39.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 272 to 222 computations (18.4% saved)

simplify277.0ms (4.1%)

Memory

4.0MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
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 #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	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) z (*.f64 x (/.f64 x (+.f64 y x))))
cost-diff	0	(-.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 x (/.f64 x (+.f64 y x)))) (.f64 y (/.f64 y (+.f64 y x))))
cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 x (/.f64 x (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))) z)
cost-diff	896	(.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 x (/.f64 x (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	225
0	51	225
1	90	225
2	192	225
3	411	220
4	998	220
5	2692	213
6	6912	213
0	8088	205

Stop Event

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

Calls

Call 1

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

localize181.0ms (2.7%)

Memory

-36.0MiB live, 86.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 (-.f64 y x) #s(literal -4 binary64))
accuracy	0.26109939124537795	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
accuracy	24.71467968266504	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.0703125	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	18.989328651556974	#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	0.26109939124537795	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	43.71004188694232	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	38.61262124647384	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0.0078125	(/.f64 y (+.f64 y x))
accuracy	0.05078125	(*.f64 x (/.f64 x (+.f64 y x)))
accuracy	0.08203125	(*.f64 y (/.f64 y (+.f64 y x)))
accuracy	0.26109939124537795	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 x (/.f64 x (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))) z)

Samples

73.0ms

256×

valid

Compiler

Compiled 428 to 65 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 39.0ms (68.6% of total)

ival-div: 8.0ms (14.1% of total)

ival-sub: 5.0ms (8.8% of total)

ival-add: 4.0ms (7% of total)

exact: 1.0ms (1.8% of total)

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

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

series31.0ms (0.5%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

18 → 164

Calls

Call 1

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

Outputs
(* 4 (- (* -1/2 z) y))
(+ (* 4 x) (* 4 (- (* -1/2 z) y)))
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(- (* -1/2 z) y)
(- (+ x (* -1/2 z)) y)
(* -1/2 z)
(+ (* -1/2 z) (/ (pow x 2) y))
(+ (* -1/2 z) (* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
(+ (* -1/2 z) (* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 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))
-2
(- (* 4 (/ x z)) 2)
(* -4 y)
(+ (* -4 y) (* 4 x))
y
(+ y (* -1 x))
(+ y (* x (- (/ x y) 1)))
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* -1/2 z) y) x))))
(* x (+ 4 (+ (* -4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* 4 (/ (- (* -1/2 z) y) x)))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (+ (* -4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) z))) (* 4 (/ 1 z)))))
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* -1/2 (/ z x)))) (/ y x)))
(* x (- (+ 1 (+ (* -1/2 (/ z x)) (/ (pow y 2) (pow x 2)))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (* -1/2 (/ z x)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 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))
(/ (pow y 2) x)
(/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x)
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (pow y 2)) (+ (* -1 (/ (pow y 4) (pow x 2))) (/ (pow y 3) x))) x)
(* 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))))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(* -1 (* x (- (* -4 (/ (- (* -1/2 z) y) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ (* 4 (- (* -1/2 z) y)) (* 4 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (+ (* -4 (+ 1/2 (/ y z))) (* 4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* x z)))) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 z) (/ (pow y 2) x))) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/2 z) (/ (pow y 2) x)) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) (* -1/2 z)) 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)))))
(* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (pow y 4)) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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)))
(+ x (* -1/2 z))
(+ x (+ (* -1 y) (* -1/2 z)))
(+ x (+ (* -1/2 z) (* y (- (/ y x) 1))))
(+ x (+ (* -1/2 z) (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1))))
(* 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))))
(- y x)
(* (pow y 2) (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(+ x (* y (- (/ y x) 1)))
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (- (* 4 (/ (+ x (* -1/2 z)) y)) 4))
(* y (- (+ (* 4 (/ (+ x (* -1/2 z)) y)) (* 4 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) 4))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(* -1 y)
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ z y)) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(+ (* -1 (/ (pow x 3) (pow y 2))) (+ (* -1/2 z) (/ (pow x 2) y)))
(- (+ (* -1/2 z) (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 3)))) (/ (pow x 3) (pow y 2)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (+ 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))))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* -1 (* y (+ 4 (* -4 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 4 (+ x (* -1/2 z)))) y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* -1/2 z))) y)))))
(+ (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y)) (* -1/2 z))
(+ (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) (* -1/2 z))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))))
(+ (* -2 z) (* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y)))))
(* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z))
(/ (+ (* -2 z) (* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))))) z)
(- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y)))
(- (+ (* -1/2 z) (/ (pow x 2) (+ x y))) (/ (pow y 2) (+ x y)))
(/ (pow x 2) (+ x y))
(+ (* -1/2 z) (/ (pow x 2) (+ x y)))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(* -2 z)
(* z (- (* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)) 2))
(- (* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)) 2)
(* z (- (/ (pow x 2) (* z (+ x y))) (+ 1/2 (/ (pow y 2) (* z (+ x y))))))
(* z (- (/ (pow x 2) (* z (+ x y))) 1/2))
(- (* 4 (/ (- x y) z)) 2)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (pow x 2) (* z (+ x y)))))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x)))) (+ (* -1/2 z) (* x (/ x (+ y x)))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
4.0ms	x	@	0	((* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x)))) (+ (* -1/2 z) (* x (/ x (+ y x)))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
4.0ms	x	@	inf	((* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x)))) (+ (* -1/2 z) (* x (/ x (+ y x)))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
3.0ms	y	@	inf	((* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x)))) (+ (* -1/2 z) (* x (/ x (+ y x)))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
3.0ms	y	@	0	((* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x)))) (+ (* -1/2 z) (* x (/ x (+ y x)))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))

simplify248.0ms (3.6%)

Memory

-22.2MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	2279
1	1727	2170
2	5072	2098
0	8669	1971

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 162

Calls

Call 1

Inputs
(* 4 (- (* -1/2 z) y))
(+ (* 4 x) (* 4 (- (* -1/2 z) y)))
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(- (* -1/2 z) y)
(- (+ x (* -1/2 z)) y)
(* -1/2 z)
(+ (* -1/2 z) (/ (pow x 2) y))
(+ (* -1/2 z) (* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
(+ (* -1/2 z) (* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 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))
-2
(- (* 4 (/ x z)) 2)
(* -4 y)
(+ (* -4 y) (* 4 x))
y
(+ y (* -1 x))
(+ y (* x (- (/ x y) 1)))
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* -1/2 z) y) x))))
(* x (+ 4 (+ (* -4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* 4 (/ (- (* -1/2 z) y) x)))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (+ (* -4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) z))) (* 4 (/ 1 z)))))
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* -1/2 (/ z x)))) (/ y x)))
(* x (- (+ 1 (+ (* -1/2 (/ z x)) (/ (pow y 2) (pow x 2)))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (* -1/2 (/ z x)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 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))
(/ (pow y 2) x)
(/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x)
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (pow y 2)) (+ (* -1 (/ (pow y 4) (pow x 2))) (/ (pow y 3) x))) x)
(* 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))))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(* -1 (* x (- (* -4 (/ (- (* -1/2 z) y) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ (* 4 (- (* -1/2 z) y)) (* 4 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (+ (* -4 (+ 1/2 (/ y z))) (* 4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* x z)))) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 z) (/ (pow y 2) x))) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/2 z) (/ (pow y 2) x)) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) (* -1/2 z)) 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)))))
(* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (pow y 4)) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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)))
(+ x (* -1/2 z))
(+ x (+ (* -1 y) (* -1/2 z)))
(+ x (+ (* -1/2 z) (* y (- (/ y x) 1))))
(+ x (+ (* -1/2 z) (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1))))
(* 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))))
(- y x)
(* (pow y 2) (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(+ x (* y (- (/ y x) 1)))
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (- (* 4 (/ (+ x (* -1/2 z)) y)) 4))
(* y (- (+ (* 4 (/ (+ x (* -1/2 z)) y)) (* 4 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) 4))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(* -1 y)
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ z y)) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(+ (* -1 (/ (pow x 3) (pow y 2))) (+ (* -1/2 z) (/ (pow x 2) y)))
(- (+ (* -1/2 z) (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 3)))) (/ (pow x 3) (pow y 2)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (+ 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))))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* -1 (* y (+ 4 (* -4 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 4 (+ x (* -1/2 z)))) y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* -1/2 z))) y)))))
(+ (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y)) (* -1/2 z))
(+ (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) (* -1/2 z))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))))
(+ (* -2 z) (* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y)))))
(* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z))
(/ (+ (* -2 z) (* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))))) z)
(- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y)))
(- (+ (* -1/2 z) (/ (pow x 2) (+ x y))) (/ (pow y 2) (+ x y)))
(/ (pow x 2) (+ x y))
(+ (* -1/2 z) (/ (pow x 2) (+ x y)))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(* -2 z)
(* z (- (* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)) 2))
(- (* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)) 2)
(* z (- (/ (pow x 2) (* z (+ x y))) (+ 1/2 (/ (pow y 2) (* z (+ x y))))))
(* z (- (/ (pow x 2) (* z (+ x y))) 1/2))
(- (* 4 (/ (- x y) z)) 2)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (pow x 2) (* z (+ x y)))))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))

Outputs
(* 4 (- (* -1/2 z) y))
(.f64 (-.f64 (.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 (/ (- (* -1/2 z) y) z))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(*.f64 (-.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 y z)) #s(literal 4 binary64))
(- (* -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))
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(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) 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 (* -1 (/ (+ (* -4 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 4 (+ x (* -1/2 z)))) y)))))
(.f64 (neg.f64 y) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (fma.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) y)))
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* -1/2 z))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y)) (* -1/2 z))
(fma.f64 (/.f64 (-.f64 x (/.f64 (.f64 x x) y)) y) x (.f64 #s(literal -1/2 binary64) z))
(+ (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) (* -1/2 z))
(fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 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 y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)))
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) y y)
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)) x) y) y y)
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(.f64 (/.f64 (-.f64 x (/.f64 (.f64 x x) y)) y) x)
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) y)) y)
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y))
(* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))))
(.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y)))))
(fma.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) z))
(* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z))
(.f64 (/.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))))) z)
(/.f64 (fma.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) z)) z)
(- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y)))
(fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 (neg.f64 y) (/.f64 y (+.f64 y x))))
(- (+ (* -1/2 z) (/ (pow x 2) (+ x y))) (/ (pow y 2) (+ x y)))
(fma.f64 x (/.f64 x (+.f64 y x)) (-.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 y (/.f64 y (+.f64 y x)))))
(/ (pow x 2) (+ x y))
(*.f64 x (/.f64 x (+.f64 y x)))
(+ (* -1/2 z) (/ (pow x 2) (+ x y)))
(fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) z))
(* 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)))
(/ (+ (* -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)
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)) 2))
(.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(- (* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)) 2)
(fma.f64 (/.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* z (- (/ (pow x 2) (* z (+ x y))) (+ 1/2 (/ (pow y 2) (* z (+ x y))))))
(.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) z) #s(literal 1/2 binary64)) z)
(* z (- (/ (pow x 2) (* z (+ x y))) 1/2))
(*.f64 (fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x 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))
(* 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 (+ 2 (* -4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) z) #s(literal -4 binary64) #s(literal 2 binary64)))
(* -1 (* z (+ 1/2 (* -1 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z)))))
(fma.f64 (/.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (/.f64 y (+.f64 y x)))) z) z (.f64 #s(literal -1/2 binary64) z))
(* -1 (* z (+ 1/2 (* -1 (/ (pow x 2) (* z (+ x y)))))))
(*.f64 (fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x z) #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)))

rewrite255.0ms (3.7%)

Memory

34.0MiB live, 226.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	200
0	51	200
1	199	167
2	1557	167
0	8538	158

Stop Event

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

Counts

18 → 709

Calls

Call 1

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

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

eval179.0ms (2.6%)

Memory: 8.3MiB live, 168.5MiB allocated
Compiler: Compiled 34 304 to 3 969 computations (88.4% saved)

prune76.0ms (1.1%)

Memory

-37.8MiB live, 50.2MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	836	3	839
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	840	7	847

Accuracy

100.0%

Counts

847 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
▶	33.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	56.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) #s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y))) z)
▶	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	72.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
✓	39.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
▶	34.4%	#s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))

Compiler

Compiled 244 to 192 computations (21.3% saved)

simplify145.0ms (2.1%)

Memory

33.2MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y))
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) #s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) #s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y))) z)
cost-diff	896	(*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
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 #s(literal 4 binary64) x)
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) #s(literal -4 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 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	128	(*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	229
0	57	229
1	106	229
2	225	229
3	461	223
4	1111	211
5	3058	209
6	7106	209
0	8017	200

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

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

localize148.0ms (2.2%)

Memory

-10.9MiB live, 193.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y))
accuracy	0.26109939124537795	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) #s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y))) z)
accuracy	6.862078574977541	(*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
accuracy	24.71467968266504	#s(approx (* 4 (- (- x y) (* z 1/2))) #s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y)))
accuracy	0.0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	18.989328651556974	#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 #s(literal 4 binary64) x)
accuracy	0.26109939124537795	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy	43.648169208390605	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy	0.0	(/.f64 y z)
accuracy	0.030292529305326048	(*.f64 (/.f64 y z) #s(literal -4 binary64))
accuracy	42.01154885418924	#s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 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	0.010966230164287516	(-.f64 (/.f64 y z) #s(literal -1/2 binary64))
accuracy	17.62612844145622	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))

Samples

110.0ms

256×

valid

Compiler

Compiled 395 to 85 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 51.0ms (65.2% of total)

ival-div: 15.0ms (19.2% of total)

ival-sub: 6.0ms (7.7% of total)

ival-add: 5.0ms (6.4% of total)

exact: 1.0ms (1.3% of total)

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

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

series29.0ms (0.4%)

Memory

-12.1MiB live, 62.2MiB allocated

Counts

16 → 59

Calls

Call 1

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

Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* -4 y)
(+ (* -4 y) (* 4 x))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (+ (* -4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) z))) (* 4 (/ 1 z)))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (+ 4 (* -4 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (+ (* -4 (+ 1/2 (/ y z))) (* 4 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* x z)))) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(- (* -4 (/ y z)) 2)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
1/2
(+ 1/2 (/ y z))
(/ y z)
(* 4 (/ (+ x (* -1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(* -4 (/ y z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (+ (* 1/2 (/ 1 y)) (/ 1 z)))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(/ (+ (* -4 y) (* -2 z)) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ y (* 1/2 z)) z)
(* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))) z))
(/ (+ (* -2 z) (* 4 (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ x y))))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- (/ (pow x 2) (+ x y)) (/ (pow y 2) (+ 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
7.0ms	y	@	-inf	((* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (* (/ y z) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (* (+ (* (/ x y) 4) -4) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4))
5.0ms	z	@	-inf	((* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (* (/ y z) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (* (+ (* (/ x y) 4) -4) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4))
4.0ms	x	@	-inf	((* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (* (/ y z) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (* (+ (* (/ x y) 4) -4) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4))
2.0ms	x	@	0	((* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (* (/ y z) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (* (+ (* (/ x y) 4) -4) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4))
2.0ms	x	@	inf	((* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (* (/ y z) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (* (+ (* (/ x y) 4) -4) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4))

simplify173.0ms (2.5%)

Memory

-17.3MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	581
1	509	581
2	1499	461
3	3840	461
0	8535	419

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

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

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

rewrite348.0ms (5.1%)

Memory

11.1MiB live, 206.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	198
0	57	198
1	251	186
2	1973	186
0	8236	177

Stop Event

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

Counts

16 → 215

Calls

Call 1

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

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

eval48.0ms (0.7%)

Memory: 20.6MiB live, 59.2MiB allocated
Compiler: Compiled 7 256 to 892 computations (87.7% saved)

prune28.0ms (0.4%)

Memory

-19.5MiB live, 18.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	268	7	275

Accuracy

100.0%

Counts

275 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	33.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	56.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) #s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y))) z)
▶	72.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	39.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	34.4%	#s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))

Compiler

Compiled 136 to 108 computations (20.6% saved)

simplify185.0ms (2.7%)

Memory

2.7MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
0	18	31
1	35	31
2	83	31
3	186	29
4	443	29
5	1078	29
6	2748	29
7	5032	29
8	5769	29
9	5788	29
10	5796	29
11	5796	29
12	6132	29
13	6301	29
14	6301	29
15	6301	29
16	6301	29
17	6333	29
18	6456	29
0	6456	28

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 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)

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 #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)

localize45.0ms (0.7%)

Memory

-16.7MiB live, 19.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y z)
accuracy	0.010966230164287516	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy	17.62612844145622	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (40% of total)

ival-sub: 3.0ms (24% of total)

ival-div: 3.0ms (24% of total)

ival-add: 1.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

3 → 19

Calls

Call 1

Inputs
#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)

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))

simplify185.0ms (2.7%)

Memory

26.8MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	189
1	178	189
2	478	187
3	1189	187
4	3014	139
0	8566	125

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite321.0ms (4.7%)

Memory

8.6MiB live, 162.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
0	18	27
1	84	27
2	663	27
0	8520	26

Stop Event

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

Counts

3 → 81

Calls

Call 1

Inputs
#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)

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))))
(.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (.f64 #s(literal 8 binary64) (/.f64 y z)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))) #s(literal -1 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 9 binary64)) #s(literal -512 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 512 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 8 binary64) (/.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 9 binary64)) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 512 binary64))) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z))) (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64)))) (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(fma.f64 (*.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -4 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) z) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z)))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.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) (/.f64 #s(literal -1 binary64) z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))

eval136.0ms (2%)

Memory: -37.0MiB live, 65.1MiB allocated
Compiler: Compiled 2 637 to 354 computations (86.6% saved)

prune6.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	91	7	98

Accuracy

100.0%

Counts

98 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	33.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	56.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) #s(approx (* (- y x) -4) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y))) z)
✓	72.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	39.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	34.4%	#s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))

Compiler

Compiled 374 to 185 computations (50.5% saved)

regimes39.0ms (0.6%)

Memory

1.2MiB live, 39.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	z
5.0ms	(-.f64 x y)
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
99.6%	1	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes46.0ms (0.7%)

Memory

-21.3MiB live, 60.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
6.0ms	x
4.0ms	z
4.0ms	(-.f64 x y)
4.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
99.6%	1	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes19.0ms (0.3%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
89.9%	3	`x`
92.0%	3	`y`
91.5%	3	`z`
99.2%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
83.6%	3	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.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
92.0%	3	`y`
76.1%	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)

regimes168.0ms (2.5%)

Memory

-22.4MiB live, 16.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

161.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
70.3%	1	`x`
73.9%	3	`z`
86.2%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

-14.1MiB live, 24.1MiB allocated

Counts

5 → 4

Calls

Call 1

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

Calls

5 calls:

4.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(-.f64 x y)
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
57.9%	3	`x`
66.4%	4	`z`
74.6%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
62.6%	6	`(-.f64 x y)`
64.0%	5	`y`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
71.0%	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)

regimes6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB 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:

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

Results

Accuracy	Segments	Branch
39.7%	1	`x`
39.7%	1	`(-.f64 x y)`
39.7%	1	`y`
39.7%	1	`z`
39.7%	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

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1483622892137.9417	3890504007598.45
0.0ms	-7.857935610318553e+39	-5.308413268439567e+32

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch36.0ms (0.5%)

Memory

-21.7MiB live, 57.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4695913102540646e+54	8.800777303432174e+63
15.0ms	-8.28578965385519e+49	-2.205426322664575e+42

Samples

21.0ms

304×

valid

Compiler

Compiled 698 to 624 computations (10.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (36.9% of total)

ival-mult: 4.0ms (36.9% of total)

ival-div: 2.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.4%)

Memory

0.4MiB live, 38.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.1037294457965087e+119	1.5317415663916006e+120
12.0ms	-2.0375656948340843e+126	-5.986110181445885e+121

Samples

15.0ms

224×

valid

Compiler

Compiled 672 to 520 computations (22.6% saved)

Precisions

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

ival-mult: 3.0ms (42.8% of total)

ival-sub: 2.0ms (28.5% of total)

ival-div: 2.0ms (28.5% 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

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1037294457965087e+119	1.5317415663916006e+120
1.0ms	-2.0375656948340843e+126	-5.986110181445885e+121

Compiler

Compiled 672 to 520 computations (22.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.847394373247676e+140	7.581597866301782e+148
0.0ms	-1.3188506346506044	2418983.851024427
0.0ms	-2309.46276621509	-2.0000010880433785

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.3188506346506044	2418983.851024427
0.0ms	-2309.46276621509	-2.0000010880433785

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify80.0ms (1.2%)

Memory

3.5MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	87	466
1	144	466
2	261	466
3	480	466
4	1041	450
5	2857	440
6	6416	440

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 x (/.f64 x (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))) z)
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000151893014213501833445376 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 2000000000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 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)))
(if (<=.f64 y #s(literal -6799999999999999500561820675419055457304576 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 12199999999999999810697358436090994494442259969212143806447616 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 -165000000000000002633853196886358195512546512974505321341840598430420715522668067195659737204358951036676049300772862231052288 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 y #s(literal 319999999999999989300799966184760293863728483035629711826808105095320065672798118298252226511688565590243556976458989568 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 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (<=.f64 y #s(literal -165000000000000002633853196886358195512546512974505321341840598430420715522668067195659737204358951036676049300772862231052288 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 y #s(literal 319999999999999989300799966184760293863728483035629711826808105095320065672798118298252226511688565590243556976458989568 binary64)) #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 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (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 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 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 -2000 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (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)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 x (/.f64 x (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))) z)
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000151893014213501833445376 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 2000000000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 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)))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000151893014213501833445376 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2000000000000 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 y z) #s(literal -4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -6799999999999999500561820675419055457304576 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 12199999999999999810697358436090994494442259969212143806447616 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 -6799999999999999500561820675419055457304576 binary64)) (not (<=.f64 y #s(literal 12199999999999999810697358436090994494442259969212143806447616 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 -165000000000000002633853196886358195512546512974505321341840598430420715522668067195659737204358951036676049300772862231052288 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 y #s(literal 319999999999999989300799966184760293863728483035629711826808105095320065672798118298252226511688565590243556976458989568 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 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (or (<=.f64 y #s(literal -165000000000000002633853196886358195512546512974505321341840598430420715522668067195659737204358951036676049300772862231052288 binary64)) (not (<=.f64 y #s(literal 319999999999999989300799966184760293863728483035629711826808105095320065672798118298252226511688565590243556976458989568 binary64)))) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 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 -165000000000000002633853196886358195512546512974505321341840598430420715522668067195659737204358951036676049300772862231052288 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 y #s(literal 319999999999999989300799966184760293863728483035629711826808105095320065672798118298252226511688565590243556976458989568 binary64)) #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 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (or (<=.f64 y #s(literal -165000000000000002633853196886358195512546512974505321341840598430420715522668067195659737204358951036676049300772862231052288 binary64)) (not (<=.f64 y #s(literal 319999999999999989300799966184760293863728483035629711826808105095320065672798118298252226511688565590243556976458989568 binary64)))) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) #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 -2000 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (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 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 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 -2000 binary64)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (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)) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000 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)))) #s(approx (/ (* 4 (- (+ (* -1/2 z) (* x (/ x (+ y x)))) (* y (/ y (+ y x))))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) #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))

soundness972.0ms (14.3%)

Memory

35.5MiB live, 699.4MiB 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
0	127	380
1	390	379
2	1150	359
3	3369	315
0	8438	285
0	33	200
0	51	200
1	199	167
2	1557	167
0	8538	158
0	572	2279
1	1727	2170
2	5072	2098
0	8669	1971
0	43	198
0	57	198
1	251	186
2	1973	186
0	8236	177

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

Compiler

Compiled 758 to 331 computations (56.3% saved)

preprocess181.0ms (2.7%)

Memory: -3.0MiB live, 114.9MiB allocated
Compiler: Compiled 980 to 228 computations (76.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze47.0ms (0.7%)

sample946.0ms (13.9%)

explain115.0ms (1.7%)

preprocess231.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify194.0ms (2.8%)

localize25.0ms (0.4%)

series11.0ms (0.2%)

simplify157.0ms (2.3%)

rewrite378.0ms (5.5%)

eval44.0ms (0.7%)

prune9.0ms (0.1%)

simplify277.0ms (4.1%)

localize181.0ms (2.7%)

series31.0ms (0.5%)

simplify248.0ms (3.6%)

rewrite255.0ms (3.7%)

eval179.0ms (2.6%)

prune76.0ms (1.1%)

simplify145.0ms (2.1%)

localize148.0ms (2.2%)

series29.0ms (0.4%)

simplify173.0ms (2.5%)

rewrite348.0ms (5.1%)

eval48.0ms (0.7%)

prune28.0ms (0.4%)

simplify185.0ms (2.7%)

localize45.0ms (0.7%)

series11.0ms (0.2%)

simplify185.0ms (2.7%)

rewrite321.0ms (4.7%)

eval136.0ms (2%)

prune6.0ms (0.1%)

regimes39.0ms (0.6%)

regimes46.0ms (0.7%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes168.0ms (2.5%)

regimes3.0ms (0%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch36.0ms (0.5%)

bsearch26.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify80.0ms (1.2%)

soundness972.0ms (14.3%)

preprocess181.0ms (2.7%)

end0.0ms (0%)

Profiling