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

analyze43.0ms (0.6%)

Memory

33.9MiB live, 72.5MiB 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 (14.1%)

Memory

17.1MiB live, 991.9MiB allocated

Samples

645.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-mult: 186.0ms (46.2% of total)

ival-sub: 143.0ms (35.5% of total)

ival-div: 57.0ms (14.2% of total)

exact: 8.0ms (2% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain172.0ms (2.3%)

Memory

-30.1MiB live, 204.3MiB 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

68.0ms

512×

valid

Compiler

Compiled 167 to 66 computations (60.5% saved)

Precisions

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

ival-mult: 7.0ms (40.9% of total)

ival-sub: 5.0ms (29.2% of total)

ival-div: 4.0ms (23.4% of total)

exact: 1.0ms (5.8% of total)

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

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

preprocess223.0ms (3.1%)

Memory

-6.2MiB live, 106.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	109
1	126	101
2	405	99
3	1525	81
4	5505	81
0	10	11
0	15	11
1	28	11
2	68	11
3	169	9
4	409	9
5	976	9
6	2577	9
7	4574	9
8	4888	9
9	4898	9
10	4907	9
11	4907	9
12	5219	9
13	5428	9
14	5444	9
15	5444	9
16	5444	9
17	5476	9
18	5583	9
0	5583	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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify194.0ms (2.6%)

Memory

-12.6MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
cost-diff	128	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	15	38
1	28	38
2	68	38
3	169	36
4	409	36
5	976	36
6	2577	36
7	4574	36
8	4888	36
9	4898	36
10	4907	36
11	4907	36
12	5219	36
13	5428	36
14	5444	36
15	5444	36
16	5444	36
17	5476	36
18	5583	36
0	5583	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)

localize24.0ms (0.3%)

Memory

-2.1MiB live, 35.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z #s(literal 1/2 binary64))
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.00390625	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
accuracy	0.2505510565031761	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

16.0ms

256×

valid

Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions

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

ival-sub: 3.0ms (38.7% of total)

ival-mult: 3.0ms (38.7% of total)

ival-div: 2.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB 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))

simplify127.0ms (1.7%)

Memory

11.6MiB live, 162.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	380
1	390	379
2	1127	359
3	3263	315
0	8237	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 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -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)))

rewrite196.0ms (2.7%)

Memory

20.1MiB live, 209.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	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 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(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 (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 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y 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)))))
(-.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))

eval71.0ms (1%)

Memory: -34.1MiB live, 90.0MiB allocated
Compiler: Compiled 9 309 to 1 381 computations (85.2% saved)

prune10.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	351	9	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	9	361

Accuracy

100.0%

Counts

361 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	32.1%	(/.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))))
	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
▶	70.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶	65.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
	32.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
	66.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
▶	36.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 292 to 246 computations (15.8% saved)

simplify238.0ms (3.3%)

Memory

-10.0MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) z)
cost-diff	0	(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
cost-diff	0	#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	704	(/.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	27	149
0	39	149
1	68	144
2	121	144
3	278	140
4	631	140
5	1560	140
6	3217	140
7	4538	140
8	4804	140
9	4832	140
10	4843	140
11	4844	140
12	4876	140
13	5135	140
14	5212	140
15	5212	140
16	5212	140
17	5244	140
18	5350	140
0	5350	136

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

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

localize66.0ms (0.9%)

Memory

10.3MiB live, 125.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.006191259768442017	(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
accuracy	0.015625	(/.f64 (-.f64 x y) z)
accuracy	22.21185289549282	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	18.70125779163399	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.2505510565031761	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	44.33700693198639	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	40.842115692171525	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0	(-.f64 x y)
accuracy	0.00390625	(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
accuracy	0.01171875	(/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
accuracy	0.1171875	(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))

Samples

48.0ms

256×

valid

Compiler

Compiled 279 to 53 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 20.0ms (58.1% of total)

ival-mult: 9.0ms (26.2% of total)

ival-sub: 2.0ms (5.8% of total)

ival-add: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

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

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

series39.0ms (0.5%)

Memory

-12.6MiB live, 32.4MiB allocated

Counts

14 → 102

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	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) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (- x y) z) 4) (/ (- x y) z))
4.0ms	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) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (- x y) z) 4) (/ (- x y) z))
2.0ms	x	@	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) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (- x y) z) 4) (/ (- x y) z))
2.0ms	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) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (- x y) z) 4) (/ (- x y) z))
2.0ms	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) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (- x y) z) 4) (/ (- x y) z))

simplify352.0ms (4.8%)

Memory

-24.4MiB live, 175.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	1408
1	1122	1365
2	3362	1286
0	8283	1199

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 101

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

rewrite313.0ms (4.3%)

Memory

26.3MiB live, 181.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	129
0	39	129
1	150	124
2	1118	124
0	8916	124

Stop Event

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

Counts

14 → 729

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

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

eval134.0ms (1.8%)

Memory: 6.7MiB live, 158.0MiB allocated
Compiler: Compiled 21 310 to 2 741 computations (87.1% saved)

prune36.0ms (0.5%)

Memory

-13.8MiB live, 58.9MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	860	4	864
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	863	10	873

Accuracy

100.0%

Counts

873 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
	65.1%	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
	70.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
✓	70.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
✓	65.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
▶	32.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
▶	32.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
✓	36.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
▶	66.7%	#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))

Compiler

Compiled 310 to 248 computations (20% saved)

simplify213.0ms (2.9%)

Memory

21.1MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	181
0	46	181
1	81	181
2	137	181
3	341	169
4	734	169
5	1645	169
6	3408	169
7	4810	169
8	5048	169
9	5076	169
10	5087	169
11	5088	169
12	5120	169
13	5378	169
14	5455	169
15	5455	169
16	5455	169
17	5487	169
18	5600	169
0	5600	167

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

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

localize132.0ms (1.8%)

Memory

-18.0MiB live, 180.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.09375	(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy	21.268069118191608	#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
accuracy	0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.2505510565031761	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy	40.74129909321883	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy	0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.203125	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy	43.24773190494785	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
accuracy	0	(/.f64 y z)
accuracy	0.015625	(*.f64 (/.f64 y z) #s(literal -4 binary64))
accuracy	22.21185289549282	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
accuracy	31.991400219524497	#s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
accuracy	0.14453125	(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))

Samples

58.0ms

256×

valid

Compiler

Compiled 316 to 66 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 14.0ms (37.2% of total)

ival-mult: 14.0ms (37.2% of total)

ival-add: 6.0ms (16% of total)

ival-sub: 3.0ms (8% of total)

exact: 1.0ms (2.7% of total)

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

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

series17.0ms (0.2%)

Memory

-2.9MiB live, 35.1MiB allocated

Counts

16 → 60

Calls

Call 1

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

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

Calls

9 calls:

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

simplify226.0ms (3.1%)

Memory

27.9MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	551
1	468	551
2	1369	401
3	4128	401
0	8285	365

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

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

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

rewrite188.0ms (2.6%)

Memory

-7.2MiB live, 203.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	160
0	46	160
1	182	160
2	1368	160
0	8348	154

Stop Event

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

Counts

16 → 312

Calls

Call 1

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

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

eval105.0ms (1.4%)

Memory: -12.4MiB live, 62.7MiB allocated
Compiler: Compiled 8 829 to 1 077 computations (87.8% saved)

prune9.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	311	0	311
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	311	10	321

Accuracy

100.0%

Counts

321 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	65.1%	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
▶	70.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
✓	70.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
✓	65.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
✓	32.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	32.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
✓	36.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	66.7%	#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))

Compiler

Compiled 180 to 145 computations (19.4% saved)

simplify200.0ms (2.7%)

Memory

-13.4MiB live, 24.1MiB 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	89	75
3	195	73
4	414	73
5	1051	73
6	2874	73
7	5045	73
8	5902	73
9	6000	73
10	6145	73
11	6323	73
12	6428	73
13	6800	73
14	6960	73
15	6960	73
16	6960	73
17	6992	73
18	7122	73
0	7122	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

localize39.0ms (0.5%)

Memory

18.3MiB live, 18.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 z (-.f64 x y))
accuracy	0.1171875	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
accuracy	22.32793695973834	#s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y)))
accuracy	0	(/.f64 x z)
accuracy	0.00390625	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	18.70125779163399	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 134 to 45 computations (66.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 7.0ms (37.8% of total)

ival-mult: 6.0ms (32.4% of total)

ival-sub: 3.0ms (16.2% of total)

ival-add: 2.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series100.0ms (1.4%)

Memory

-48.5MiB live, 23.9MiB 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
54.0ms	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))
35.0ms	y	@	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))
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	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))

simplify297.0ms (4.1%)

Memory

20.2MiB live, 173.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	1406
1	1180	1352
2	3450	1251
0	8136	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 x z) #s(literal 4 binary64) (*.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 x z) #s(literal 4 binary64))
(* 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 (/.f64 (*.f64 x x) y) x) 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 (/.f64 (*.f64 x x) y) x) (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 (/.f64 (*.f64 x x) y) x) 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))

rewrite535.0ms (7.3%)

Memory

-31.3MiB live, 167.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
0	28	67
1	129	67
2	991	67
0	8581	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))))))
(.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (pow.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)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.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 (pow.f64 (.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 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.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 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.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 (pow.f64 (.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))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) (.f64 (/.f64 (pow.f64 (*.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 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 x z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)))) (neg.f64 (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 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (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 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 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))) (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))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 x z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 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 #s(literal -1 binary64) (neg.f64 (/.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 -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 x z) #s(literal 4 binary64))) (-.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 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 x z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64)))) (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 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 4 binary64) (.f64 (/.f64 x z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (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)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal 2 binary64))))
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(/.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))

eval35.0ms (0.5%)

Memory: 10.2MiB live, 85.0MiB allocated
Compiler: Compiled 7 505 to 1 133 computations (84.9% saved)

prune9.0ms (0.1%)

Memory

31.2MiB live, 31.2MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	262	10	272

Accuracy

100.0%

Counts

272 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	65.1%	(/.f64 #s(literal 4 binary64) #s(approx (/ z (+ (* -1/2 z) (- x y))) (/.f64 z (-.f64 x y))))
✓	70.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
✓	70.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
✓	65.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
✓	32.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	32.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
✓	36.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	66.7%	#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))

Compiler

Compiled 415 to 208 computations (49.9% saved)

regimes30.0ms (0.4%)

Memory

-14.1MiB live, 70.5MiB allocated

Counts

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

Calls

5 calls:

9.0ms	(-.f64 x y)
7.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

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

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes107.0ms (1.5%)

Memory

-22.2MiB live, 54.3MiB 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) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(/.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)

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

Calls

5 calls:

62.0ms	x
29.0ms	(-.f64 x y)
5.0ms	z
5.0ms	y
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

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

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes51.0ms (0.7%)

Memory

-0.9MiB live, 44.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

5 calls:

35.0ms	x
4.0ms	z
4.0ms	(-.f64 x y)
4.0ms	y
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
88.2%	3	`x`
90.4%	3	`y`
88.2%	3	`z`
99.4%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
84.0%	3	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.3%	3	`y`
74.6%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.2%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory

-12.9MiB live, 24.7MiB 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) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))

Outputs

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

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

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

Calls

3 calls:

5.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
88.0%	3	`x`
74.4%	3	`z`
88.1%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	(-.f64 x y)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
70.2%	2	`(-.f64 x y)`
83.8%	3	`x`
73.8%	3	`y`

Compiler

Compiled 5 to 10 computations (-100% saved)

regimes18.0ms (0.3%)

Memory

-21.0MiB live, 18.2MiB allocated

Counts

5 → 4

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

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

Calls

4 calls:

11.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
63.4%	5	`y`
60.4%	5	`z`
74.0%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
59.3%	4	`x`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB 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) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.4%	3	`(-.f64 x y)`
65.4%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
65.4%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB 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	x
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	y
1.0ms	z

Results

Accuracy	Segments	Branch
36.2%	1	`(-.f64 x y)`
36.2%	1	`z`
36.2%	1	`x`
36.2%	1	`y`
36.2%	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

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999951129890912	8694020273478.529
0.0ms	-4.479176698067795e+35	-4.775303351236579e+27

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch35.0ms (0.5%)

Memory

-1.8MiB live, 37.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.568423765464846e-6	3.5235042414405743e-6
27.0ms	-1.8232590290819992e-40	-1.2687462873097917e-42

Samples

9.0ms

176×

valid

Compiler

Compiled 421 to 379 computations (10% saved)

Precisions

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

ival-sub: 2.0ms (37.9% of total)

ival-mult: 2.0ms (37.9% of total)

ival-div: 1.0ms (19% 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

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.568423765464846e-6	3.5235042414405743e-6
1.0ms	-1.8232590290819992e-40	-1.2687462873097917e-42

Compiler

Compiled 410 to 368 computations (10.2% saved)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.568423765464846e-6	3.5235042414405743e-6
1.0ms	-1.8232590290819992e-40	-1.2687462873097917e-42

Compiler

Compiled 410 to 368 computations (10.2% saved)

bsearch24.0ms (0.3%)

Memory

-9.1MiB live, 34.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.6904587651668977e+152	8.608856234085708e+153
11.0ms	-7.87849028230243e+149	-2.184443903876842e+149

Samples

10.0ms

192×

valid

Compiler

Compiled 410 to 376 computations (8.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (34.6% of total)

ival-mult: 2.0ms (34.6% of total)

ival-div: 1.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.266504881462413e+294	6.098253367866918e+303
0.0ms	-1.9999951129890912	8694020273478.529
0.0ms	-4.479176698067795e+35	-4.775303351236579e+27

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999951129890912	8694020273478.529
0.0ms	-2281467408.9899125	-2.004541975125921

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999951129890912	8694020273478.529
0.0ms	-2281467408.9899125	-2.004541975125921

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify68.0ms (0.9%)

Memory

-13.3MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	645
1	107	645
2	126	645
3	136	645
4	142	645
5	143	645

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -399999999999999987453464431671902208 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ 4 (/ z (+ ( -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) (if (<=.f64 y #s(literal 3423715700080493/1180591620717411303424 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 3423715700080493/1180591620717411303424 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 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 3423715700080493/1180591620717411303424 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) #s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -259999999999999978663383708182562356189225526167780863246772235175409672839426950009453567288764224671003894609525536297390692265125181522012140470272 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 459999999999999970106051234748592485733244777701815148566336352738662303450476371930557848274921953443302477023297561240547708290636705743683904587431936 binary64)) #s(approx (/ 4 (/ z (+ ( -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -399999999999999987453464431671902208 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (.f64 (/.f64 y z) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.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 -2000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (.f64 (/.f64 y z) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -399999999999999987453464431671902208 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ 4 (/ z (+ ( -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -399999999999999987453464431671902208 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ 4 (/ z (+ ( -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) (if (<=.f64 y #s(literal 3423715700080493/1180591620717411303424 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 3423715700080493/1180591620717411303424 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 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 3423715700080493/1180591620717411303424 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) #s(approx (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -259999999999999978663383708182562356189225526167780863246772235175409672839426950009453567288764224671003894609525536297390692265125181522012140470272 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 459999999999999970106051234748592485733244777701815148566336352738662303450476371930557848274921953443302477023297561240547708290636705743683904587431936 binary64)) #s(approx (/ 4 (/ z (+ ( -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 x #s(literal -259999999999999978663383708182562356189225526167780863246772235175409672839426950009453567288764224671003894609525536297390692265125181522012140470272 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 x #s(literal 459999999999999970106051234748592485733244777701815148566336352738662303450476371930557848274921953443302477023297561240547708290636705743683904587431936 binary64)) #s(approx (/ 4 (/ z (+ ( -1/2 z) (- x y)))) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 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 -399999999999999987453464431671902208 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -399999999999999987453464431671902208 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (.f64 (/.f64 y z) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -2000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (.f64 (/.f64 y z) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 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 -2000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (.f64 (/.f64 y z) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -2000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (* (/ (- x y) z) 4) (.f64 (/.f64 y z) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 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) #s(approx (* (/ (- x y) z) 4) (*.f64 (/.f64 y z) #s(literal -4 binary64))))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness1.4s (19.6%)

Memory

-5.6MiB live, 789.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	380
1	390	379
2	1127	359
3	3263	315
0	8237	285
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	33
0	8009	30
0	27	129
0	39	129
1	150	124
2	1118	124
0	8916	124
0	369	1408
1	1122	1365
2	3362	1286
0	8283	1199

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

Compiler

Compiled 904 to 303 computations (66.5% saved)

preprocess105.0ms (1.4%)

Memory: 26.7MiB live, 108.6MiB allocated
Compiler: Compiled 1 338 to 228 computations (83% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze43.0ms (0.6%)

sample1.0s (14.1%)

explain172.0ms (2.3%)

preprocess223.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify194.0ms (2.6%)

localize24.0ms (0.3%)

series11.0ms (0.1%)

simplify127.0ms (1.7%)

rewrite196.0ms (2.7%)

eval71.0ms (1%)

prune10.0ms (0.1%)

simplify238.0ms (3.3%)

localize66.0ms (0.9%)

series39.0ms (0.5%)

simplify352.0ms (4.8%)

rewrite313.0ms (4.3%)

eval134.0ms (1.8%)

prune36.0ms (0.5%)

simplify213.0ms (2.9%)

localize132.0ms (1.8%)

series17.0ms (0.2%)

simplify226.0ms (3.1%)

rewrite188.0ms (2.6%)

eval105.0ms (1.4%)

prune9.0ms (0.1%)

simplify200.0ms (2.7%)

localize39.0ms (0.5%)

series100.0ms (1.4%)

simplify297.0ms (4.1%)

rewrite535.0ms (7.3%)

eval35.0ms (0.5%)

prune9.0ms (0.1%)

regimes30.0ms (0.4%)

regimes107.0ms (1.5%)

regimes51.0ms (0.7%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes18.0ms (0.3%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch35.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch24.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify68.0ms (0.9%)

soundness1.4s (19.6%)

preprocess105.0ms (1.4%)

end0.0ms (0%)

Profiling