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

analyze68.0ms (1%)

Memory

-24.7MiB live, 59.4MiB 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)

sample1.0s (14.4%)

Memory

22.6MiB live, 1 005.1MiB allocated

Samples

676.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

ival-sub: 128.0ms (33.7% of total)

ival-div: 119.0ms (31.3% of total)

ival-mult: 114.0ms (30% of total)

exact: 10.0ms (2.6% of total)

ival-true: 6.0ms (1.6% of total)

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

Bogosity

explain112.0ms (1.6%)

Memory

1.8MiB live, 166.2MiB 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	1

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

46.0ms

512×

valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

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

ival-mult: 6.0ms (37.8% of total)

ival-sub: 5.0ms (31.5% of total)

ival-div: 4.0ms (25.2% of total)

exact: 1.0ms (6.3% of total)

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

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

preprocess228.0ms (3.2%)

Memory

7.8MiB live, 121.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

simplify172.0ms (2.4%)

Memory

-9.9MiB live, 66.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	15	38
1	28	38
2	72	38
3	177	36
4	437	36
5	1003	36
6	2681	36
7	4894	36
8	5198	36
9	5208	36
10	5217	36
11	5217	36
12	5529	36
13	5738	36
14	5754	36
15	5754	36
16	5754	36
17	5786	36
18	5901	36
0	5901	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.9%)

Memory

-6.7MiB live, 76.6MiB 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	0.25072731434475803	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

39.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 22.0ms (82.8% of total)

ival-sub: 3.0ms (11.3% of total)

ival-div: 2.0ms (7.5% 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

14.7MiB live, 14.7MiB 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))

simplify120.0ms (1.7%)

Memory

4.7MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

rewrite186.0ms (2.6%)

Memory

-4.2MiB live, 151.9MiB 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))

eval54.0ms (0.8%)

Memory: -0.5MiB live, 71.7MiB allocated
Compiler: Compiled 9 309 to 1 381 computations (85.2% saved)

prune9.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB 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
▶	61.8%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
	70.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
▶	42.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	99.8%	(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
	62.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	33.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
▶	71.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
▶	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 250 to 212 computations (15.2% saved)

simplify368.0ms (5.2%)

Memory

-146.9MiB live, 114.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	168
0	42	168
1	68	161
2	139	161
3	303	158
4	656	158
5	1565	158
6	3257	158
7	5142	158
8	5451	158
9	5494	158
10	5515	158
11	5518	158
12	5558	158
13	5840	158
14	5925	158
15	5925	158
16	5925	158
17	5957	158
18	6079	158
0	6079	153

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.2%)

Memory

5.7MiB live, 81.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) z x)
accuracy	0.0	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
accuracy	0.25072731434475803	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
accuracy	24.80314186077449	#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(-.f64 (/.f64 y z) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64))
accuracy	18.419975423020638	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.25072731434475803	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	38.17173027231329	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	44.17133004706181	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
accuracy	0.0	(-.f64 x y)
accuracy	0.015625	(/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
accuracy	0.10546875	(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))

Samples

54.0ms

256×

valid

Compiler

Compiled 141 to 24 computations (83% saved)

Precisions

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

ival-mult: 27.0ms (67.5% of total)

ival-div: 6.0ms (15% of total)

ival-sub: 3.0ms (7.5% of total)

ival-add: 2.0ms (5% of total)

exact: 1.0ms (2.5% of total)

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

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

series44.0ms (0.6%)

Memory

-21.9MiB live, 53.8MiB allocated

Counts

16 → 104

Calls

Call 1

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

Outputs
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(/ z (- (* -1/2 z) y))
(+ (* -1 (/ (* x z) (pow (- (* -1/2 z) y) 2))) (/ z (- (* -1/2 z) y)))
(+ (* x (- (/ (* x z) (pow (- (* -1/2 z) y) 3)) (/ z (pow (- (* -1/2 z) y) 2)))) (/ z (- (* -1/2 z) y)))
(+ (* x (- (* x (- (* -1 (/ (* x z) (pow (- (* -1/2 z) y) 4))) (* -1 (/ z (pow (- (* -1/2 z) y) 3))))) (/ z (pow (- (* -1/2 z) y) 2)))) (/ z (- (* -1/2 z) y)))
(- (* -1/2 z) y)
(- (+ x (* -1/2 z)) y)
(* -1 y)
(- x 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))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1/2 z)
(+ x (* -1/2 z))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(/ z x)
(/ (+ z (* -1 (/ (* z (- (* -1/2 z) y)) x))) x)
(/ (- (+ z (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x)) x)
(/ (- (+ z (* -1 (/ (* z (pow (- (* -1/2 z) y) 3)) (pow x 3)))) (+ (* -1 (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x))) x)
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1/2 (/ z x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(* 4 (/ (+ x (* -1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(/ z (+ x (* -1/2 z)))
(+ (/ z (+ x (* -1/2 z))) (/ (* y z) (pow (+ x (* -1/2 z)) 2)))
(+ (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 3)) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(+ (* y (- (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 4)) (* -1 (/ z (pow (+ x (* -1/2 z)) 3))))) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(+ x (+ (* -1 y) (* -1/2 z)))
(+ x (* -1 y))
(* 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))))
(* -4 y)
-2
(- (* -4 (/ y z)) 2)
1/2
(+ 1/2 (/ y z))
(/ y z)
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (* z (+ x (* -1/2 z))) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) (/ (* z (+ x (* -1/2 z))) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (+ x (* -1/2 z))) y) (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) y)
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* y (- (/ x y) 1))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* y (+ (* 1/2 (/ 1 y)) (/ 1 z)))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (/ (+ z (/ (* z (+ x (* -1/2 z))) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* z (pow (+ x (* -1/2 z)) 2)) y)) (* z (+ x (* -1/2 z)))) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (+ x (* -1/2 z)) 3)) y) (* -1 (* z (pow (+ x (* -1/2 z)) 2)))) y)) (* z (+ x (* -1/2 z)))) y))) y))
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ z (- x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ y (* 1/2 z)) z)
(- (* 4 (/ (- x y) z)) 2)
(- (* -4 (/ (- x y) z)) 2)
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (/ x z) 1/2))
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
6.0ms	z	@	0	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
5.0ms	y	@	-inf	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
3.0ms	y	@	inf	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
2.0ms	y	@	0	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- (/ y z) -1/2) -4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- (/ y z) -1/2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))

simplify150.0ms (2.1%)

Memory

14.4MiB live, 221.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	1388
1	1126	1345
2	3329	1276
0	8233	1170

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 103

Calls

Call 1

Inputs
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(/ z (- (* -1/2 z) y))
(+ (* -1 (/ (* x z) (pow (- (* -1/2 z) y) 2))) (/ z (- (* -1/2 z) y)))
(+ (* x (- (/ (* x z) (pow (- (* -1/2 z) y) 3)) (/ z (pow (- (* -1/2 z) y) 2)))) (/ z (- (* -1/2 z) y)))
(+ (* x (- (* x (- (* -1 (/ (* x z) (pow (- (* -1/2 z) y) 4))) (* -1 (/ z (pow (- (* -1/2 z) y) 3))))) (/ z (pow (- (* -1/2 z) y) 2)))) (/ z (- (* -1/2 z) y)))
(- (* -1/2 z) y)
(- (+ x (* -1/2 z)) y)
(* -1 y)
(- x 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))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1/2 z)
(+ x (* -1/2 z))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(/ z x)
(/ (+ z (* -1 (/ (* z (- (* -1/2 z) y)) x))) x)
(/ (- (+ z (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x)) x)
(/ (- (+ z (* -1 (/ (* z (pow (- (* -1/2 z) y) 3)) (pow x 3)))) (+ (* -1 (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x))) x)
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1/2 (/ z x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(* 4 (/ (+ x (* -1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(/ z (+ x (* -1/2 z)))
(+ (/ z (+ x (* -1/2 z))) (/ (* y z) (pow (+ x (* -1/2 z)) 2)))
(+ (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 3)) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(+ (* y (- (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 4)) (* -1 (/ z (pow (+ x (* -1/2 z)) 3))))) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(+ x (+ (* -1 y) (* -1/2 z)))
(+ x (* -1 y))
(* 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))))
(* -4 y)
-2
(- (* -4 (/ y z)) 2)
1/2
(+ 1/2 (/ y z))
(/ y z)
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (* z (+ x (* -1/2 z))) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) (/ (* z (+ x (* -1/2 z))) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (+ x (* -1/2 z))) y) (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) y)
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* y (- (/ x y) 1))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* y (+ (* 1/2 (/ 1 y)) (/ 1 z)))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (/ (+ z (/ (* z (+ x (* -1/2 z))) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* z (pow (+ x (* -1/2 z)) 2)) y)) (* z (+ x (* -1/2 z)))) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (+ x (* -1/2 z)) 3)) y) (* -1 (* z (pow (+ x (* -1/2 z)) 2)))) y)) (* z (+ x (* -1/2 z)))) y))) y))
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ z (- x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ y (* 1/2 z)) z)
(- (* 4 (/ (- x y) z)) 2)
(- (* -4 (/ (- x y) z)) 2)
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (/ x z) 1/2))
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))

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

rewrite340.0ms (4.8%)

Memory

8.1MiB live, 164.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	151
0	42	151
1	159	144
2	1169	144
0	8406	142

Stop Event

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

Counts

16 → 503

Calls

Call 1

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

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

eval300.0ms (4.2%)

Memory: -1.9MiB live, 122.5MiB allocated
Compiler: Compiled 15 075 to 2 117 computations (86% saved)

prune25.0ms (0.4%)

Memory

1.6MiB live, 38.5MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	581	3	584
Fresh	0	3	3
Picked	3	2	5
Done	0	0	0
Total	584	8	592

Accuracy

100.0%

Counts

592 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	42.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
	70.4%	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
▶	71.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
▶	62.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶	33.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
✓	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
▶	100.0%	#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))

Compiler

Compiled 242 to 199 computations (17.8% saved)

simplify232.0ms (3.3%)

Memory

-29.8MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	175
0	49	175
1	86	175
2	161	175
3	339	163
4	762	163
5	1877	163
6	4141	163
7	4827	163
8	4974	163
9	4993	163
10	5003	163
11	5004	163
12	5032	163
13	5285	163
14	5362	163
15	5362	163
16	5362	163
17	5394	163
18	5510	163
0	5510	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.4%)

Memory

9.6MiB live, 82.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 (-.f64 y x) #s(literal -4 binary64))
accuracy	0.25072731434475803	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
accuracy	18.959379520241818	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
accuracy	0.0	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 y z)
accuracy	18.419975423020638	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	24.184708646658933	#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 x z)
accuracy	0.010097509768442016	(*.f64 (/.f64 x z) #s(literal 4 binary64))
accuracy	42.62184260352139	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
accuracy	0.0	(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0.00390625	(/.f64 (-.f64 x y) z)

Samples

47.0ms

256×

valid

Compiler

Compiled 139 to 32 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 12.0ms (37.8% of total)

ival-div: 11.0ms (34.6% of total)

ival-add: 4.0ms (12.6% of total)

ival-sub: 3.0ms (9.4% of total)

exact: 1.0ms (3.1% of total)

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

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

series22.0ms (0.3%)

Memory

1.4MiB live, 36.9MiB allocated

Counts

17 → 78

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
2.0ms	x	@	-inf	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
2.0ms	z	@	-inf	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
2.0ms	x	@	inf	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))
2.0ms	z	@	0	((/ 4 (/ z (+ (* -1/2 z) (- x y)))) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x))

simplify147.0ms (2.1%)

Memory

10.9MiB live, 169.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	587
1	554	569
2	1648	467
3	4743	467
0	8154	428

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 76

Calls

Call 1

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

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

rewrite172.0ms (2.4%)

Memory

3.8MiB live, 280.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	49	155
1	204	155
2	1622	155
0	8222	149

Stop Event

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

Counts

17 → 523

Calls

Call 1

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

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))))
(.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) #s(literal -1 binary64)))
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eval240.0ms (3.4%)

Memory: -10.9MiB live, 111.1MiB allocated
Compiler: Compiled 15 587 to 2 165 computations (86.1% saved)

prune9.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	553	1	554
Fresh	0	1	1
Picked	2	3	5
Done	0	2	2
Total	555	7	562

Accuracy

100.0%

Counts

562 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	42.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	70.4%	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
✓	71.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
▶	62.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	33.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
✓	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 115 to 96 computations (16.5% saved)

simplify198.0ms (2.8%)

Memory

-8.6MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
0	28	75
1	49	75
2	97	75
3	207	73
4	446	73
5	1075	73
6	2917	73
7	5445	73
8	6303	73
9	6399	73
10	6544	73
11	6717	73
12	6790	73
13	7162	73
14	7322	73
15	7322	73
16	7322	73
17	7354	73
18	7473	73
0	7473	70

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

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

localize74.0ms (1%)

Memory

0.6MiB live, 38.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.00390625	(/.f64 z (-.f64 x y))
accuracy	0.10546875	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
accuracy	18.986168645981383	#s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y)))
accuracy	0.0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	24.184708646658933	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

Samples

65.0ms

256×

valid

Compiler

Compiled 59 to 22 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 38.0ms (77.9% of total)

ival-mult: 6.0ms (12.3% of total)

ival-sub: 3.0ms (6.2% of total)

ival-add: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

7 → 81

Calls

Call 1

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

Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(/ z (- (* -1/2 z) y))
(+ (* -1 (/ (* x z) (pow (- (* -1/2 z) y) 2))) (/ z (- (* -1/2 z) y)))
(+ (* x (- (/ (* x z) (pow (- (* -1/2 z) y) 3)) (/ z (pow (- (* -1/2 z) y) 2)))) (/ z (- (* -1/2 z) y)))
(+ (* x (- (* x (- (* -1 (/ (* x z) (pow (- (* -1/2 z) y) 4))) (* -1 (/ z (pow (- (* -1/2 z) y) 3))))) (/ z (pow (- (* -1/2 z) y) 2)))) (/ z (- (* -1/2 z) y)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (* -1 (/ (* x z) (pow y 2))))
(+ (* -1 (/ z y)) (* x (- (* -1 (/ (* x z) (pow y 3))) (/ z (pow y 2)))))
(+ (* -1 (/ z y)) (* x (- (* x (- (* -1 (/ (* x z) (pow y 4))) (/ z (pow y 3)))) (/ z (pow y 2)))))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(/ z x)
(/ (+ z (* -1 (/ (* z (- (* -1/2 z) y)) x))) x)
(/ (- (+ z (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x)) x)
(/ (- (+ z (* -1 (/ (* z (pow (- (* -1/2 z) y) 3)) (pow x 3)))) (+ (* -1 (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x))) x)
(/ (+ z (/ (* y z) x)) x)
(/ (- (+ z (/ (* (pow y 2) z) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ z (/ (* (pow y 3) z) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) z) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (* y z) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* y z) (/ (* (pow y 2) z) x)) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (* (pow y 3) z) x))) x)) (* y z)) x))) x))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (/ (+ x (* -1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(/ z (+ x (* -1/2 z)))
(+ (/ z (+ x (* -1/2 z))) (/ (* y z) (pow (+ x (* -1/2 z)) 2)))
(+ (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 3)) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(+ (* y (- (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 4)) (* -1 (/ z (pow (+ x (* -1/2 z)) 3))))) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(+ (/ z x) (/ (* y z) (pow x 2)))
(+ (* y (- (/ (* y z) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ z x))
(+ (* y (- (* y (- (/ (* y z) (pow x 4)) (* -1 (/ z (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ z x))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(/ (+ (* -1 z) (* -1 (/ (* z (+ x (* -1/2 z))) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) (/ (* z (+ x (* -1/2 z))) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (+ x (* -1/2 z))) y) (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) y)
(/ (+ (* -1 z) (* -1 (/ (* x z) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) z) (pow y 2)))) (/ (* x z) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) z) (pow y 3)))) (+ (/ (* x z) y) (/ (* (pow x 2) z) (pow y 2)))) y)
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (/ (+ z (/ (* z (+ x (* -1/2 z))) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* z (pow (+ x (* -1/2 z)) 2)) y)) (* z (+ x (* -1/2 z)))) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (+ x (* -1/2 z)) 3)) y) (* -1 (* z (pow (+ x (* -1/2 z)) 2)))) y)) (* z (+ x (* -1/2 z)))) y))) y))
(* -1 (/ (+ z (/ (* x z) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow x 2) z) y)) (* x z)) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) y) (* -1 (* (pow x 2) z))) y)) (* x z)) y))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ z (- x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(- (* 4 (/ (- x y) z)) 2)
(- (* -4 (/ (- x y) z)) 2)
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)

Calls

9 calls:

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

simplify302.0ms (4.2%)

Memory

-18.6MiB live, 105.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	1406
1	1180	1352
2	3528	1251
0	8370	1167

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 80

Calls

Call 1

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

rewrite332.0ms (4.7%)

Memory

-2.4MiB live, 277.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
0	28	67
1	129	67
2	997	67
0	8671	64

Stop Event

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

Counts

7 → 197

Calls

Call 1

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

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

eval33.0ms (0.5%)

Memory: 19.6MiB live, 94.8MiB allocated
Compiler: Compiled 7 505 to 1 134 computations (84.9% saved)

prune11.0ms (0.2%)

Memory

-14.9MiB live, 29.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	262	7	269

Accuracy

100.0%

Counts

269 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	42.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	70.4%	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
✓	71.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	62.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	33.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
✓	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 324 to 156 computations (51.9% saved)

regimes27.0ms (0.4%)

Memory

-1.9MiB live, 72.8MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
5.0ms	z
5.0ms	(-.f64 x y)
4.0ms	y

Results

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

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes18.0ms (0.3%)

Memory

20.6MiB live, 59.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Results

Accuracy	Segments	Branch
89.8%	3	`x`
91.1%	3	`y`
88.3%	3	`z`
98.9%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
86.5%	3	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes163.0ms (2.3%)

Memory

-41.4MiB live, 10.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Calls

3 calls:

157.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
89.0%	3	`x`
87.7%	3	`y`
71.2%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes10.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.2%	5	`(-.f64 x y)`
79.8%	3	`y`
72.2%	5	`z`
66.5%	3	`x`

Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes3.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	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
70.4%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
63.4%	4	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes9.0ms (0.1%)

Memory

-5.2MiB live, 34.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
40.8%	4	`y`
52.4%	3	`x`
49.3%	3	`(-.f64 x y)`
50.5%	3	`z`
61.5%	3	`(/.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)

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

Results

Accuracy	Segments	Branch
31.0%	1	`y`
31.0%	1	`(-.f64 x y)`
31.0%	1	`z`
31.0%	1	`x`
31.0%	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

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4121.774339879013	3088895089208.168
0.0ms	-921134472636080.8	-3319774.573361627

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch118.0ms (1.7%)

Memory

-25.6MiB live, 51.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.7933328244574723e+112	2.8297790493876304e+138
97.0ms	-6.863688947786046e+75	-5.0120422492441584e+73

Samples

103.0ms

288×

valid

Compiler

Compiled 662 to 592 computations (10.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-sub: 90.0ms (94.2% of total)

ival-mult: 3.0ms (3.1% of total)

ival-div: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Memory

0.3MiB live, 43.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.047186722840099e-22	1.3526388653483472e-15
10.0ms	-1.4988433079689325e+86	-1.9608533707533805e+84

Samples

14.0ms

256×

valid

Compiler

Compiled 542 to 496 computations (8.5% saved)

Precisions

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

ival-mult: 3.0ms (39.1% of total)

ival-sub: 2.0ms (26.1% of total)

ival-div: 2.0ms (26.1% 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

6.7MiB live, 6.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.047186722840099e-22	1.3526388653483472e-15
1.0ms	-1.4988433079689325e+86	-1.9608533707533805e+84

Compiler

Compiled 542 to 496 computations (8.5% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.6223712698319535	1882.8900883305193
0.0ms	-3319774.573361627	-2.0000000000126774

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.6223712698319535	1882.8900883305193
0.0ms	-921134472636080.8	-3319774.573361627

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify64.0ms (0.9%)

Memory

-8.5MiB live, 69.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	72	342
1	115	342
2	193	342
3	380	342
4	815	324
5	2322	322
6	7028	322

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000 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 5000 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 x #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 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 x #s(literal 2100000000000000032674773871880370350963222933534229010076518218904750940445986976856469318821599640120033189822464 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 -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 6845313241232439/5070602400912917605986812821504 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 y #s(literal -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 6845313241232439/5070602400912917605986812821504 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x 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 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000 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 5000 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 -500000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 5000 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 x #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 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 x #s(literal 2100000000000000032674773871880370350963222933534229010076518218904750940445986976856469318821599640120033189822464 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 (or (<=.f64 x #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) (not (<=.f64 x #s(literal 2100000000000000032674773871880370350963222933534229010076518218904750940445986976856469318821599640120033189822464 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 -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 6845313241232439/5070602400912917605986812821504 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 y #s(literal -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (not (<=.f64 y #s(literal 6845313241232439/5070602400912917605986812821504 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 6845313241232439/5070602400912917605986812821504 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 y #s(literal -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (not (<=.f64 y #s(literal 6845313241232439/5070602400912917605986812821504 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x 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 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x 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 -500000000000000 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 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x 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))

soundness1.4s (19%)

Memory

3.1MiB live, 724.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	49	155
1	204	155
2	1622	155
0	8222	149
0	127	380
1	390	379
2	1150	359
3	3369	315
0	8438	285
0	29	151
0	42	151
1	159	144
2	1169	144
0	8406	142
0	10	33
0	15	33
1	60	33
2	474	33
3	6858	33
0	8009	30
0	366	1388
1	1126	1345
2	3329	1276
0	8233	1170

Stop Event

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

Compiler

Compiled 504 to 233 computations (53.8% saved)

preprocess63.0ms (0.9%)

Memory: -2.7MiB live, 73.4MiB allocated
Compiler: Compiled 732 to 196 computations (73.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze68.0ms (1%)

sample1.0s (14.4%)

explain112.0ms (1.6%)

preprocess228.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify172.0ms (2.4%)

localize67.0ms (0.9%)

series11.0ms (0.2%)

simplify120.0ms (1.7%)

rewrite186.0ms (2.6%)

eval54.0ms (0.8%)

prune9.0ms (0.1%)

simplify368.0ms (5.2%)

localize87.0ms (1.2%)

series44.0ms (0.6%)

simplify150.0ms (2.1%)

rewrite340.0ms (4.8%)

eval300.0ms (4.2%)

prune25.0ms (0.4%)

simplify232.0ms (3.3%)

localize97.0ms (1.4%)

series22.0ms (0.3%)

simplify147.0ms (2.1%)

rewrite172.0ms (2.4%)

eval240.0ms (3.4%)

prune9.0ms (0.1%)

simplify198.0ms (2.8%)

localize74.0ms (1%)

series12.0ms (0.2%)

simplify302.0ms (4.2%)

rewrite332.0ms (4.7%)

eval33.0ms (0.5%)

prune11.0ms (0.2%)

regimes27.0ms (0.4%)

regimes18.0ms (0.3%)

regimes163.0ms (2.3%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch118.0ms (1.7%)

bsearch29.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify64.0ms (0.9%)

soundness1.4s (19%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling