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

analyze57.0ms (0.8%)

Memory

24.0MiB live, 71.6MiB 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 (14.6%)

Memory

8.5MiB live, 1 439.3MiB allocated

Samples

673.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-mult: 168.0ms (38.7% of total)

ival-sub: 140.0ms (32.2% of total)

ival-div: 106.0ms (24.4% of total)

exact: 10.0ms (2.3% of total)

ival-true: 7.0ms (1.6% of total)

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

Bogosity

explain186.0ms (2.7%)

Memory

29.2MiB live, 214.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(/.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	2	0
↳	`(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))`	overflow	3

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.8% of total)

ival-sub: 5.0ms (27.7% of total)

ival-div: 4.0ms (22.2% of total)

exact: 1.0ms (5.5% of total)

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

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

preprocess384.0ms (5.6%)

Memory

6.2MiB live, 179.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	109
1	96	103
2	292	103
3	783	85
4	1964	85
5	2887	85
6	4022	85
7	5175	85
8	6249	85
9	7319	85
0	10	11
0	15	11
1	24	11
2	54	11
3	124	9
4	284	9
5	475	9
6	675	9
7	927	9
8	1233	9
9	1505	9
10	1678	9
11	1985	9
12	2393	9
13	2780	9
14	3030	9
15	3388	9
16	3661	9
17	3948	9
18	4159	9
19	4265	9
20	4310	9
21	4344	9
22	4415	9
23	4541	9
24	4595	9
25	4623	9
26	4655	9
27	4707	9
0	4707	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 (-.f64 y x) z) #s(literal -4 binary64) #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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.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)

simplify178.0ms (2.6%)

Memory

-2.3MiB live, 91.8MiB 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	1	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	2	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	15	38
1	24	38
2	54	38
3	124	36
4	284	36
5	475	36
6	675	36
7	927	36
8	1233	36
9	1505	36
10	1678	36
11	1985	36
12	2393	36
13	2780	36
14	3030	36
15	3388	36
16	3661	36
17	3948	36
18	4159	36
19	4265	36
20	4310	36
21	4344	36
22	4415	36
23	4541	36
24	4595	36
25	4623	36
26	4655	36
27	4707	36
0	4707	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 (-.f64 y x) z) #s(literal -4 binary64) #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)

localize35.0ms (0.5%)

Memory

18.1MiB live, 63.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 z #s(literal 1/2 binary64))
accuracy	0.0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.4962989755616054	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

29.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-sub: 3.0ms (36.2% of total)

ival-mult: 3.0ms (36.2% of total)

ival-div: 2.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

series95.0ms (1.4%)

Memory

-27.8MiB live, 29.0MiB 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
85.0ms	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))
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	@	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))

simplify200.0ms (2.9%)

Memory

3.2MiB live, 197.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	437
1	408	403
2	1361	386
3	4687	386
0	8202	350

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

rewrite263.0ms (3.8%)

Memory

-23.2MiB live, 211.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	51	33
2	386	33
3	4958	33
0	8884	30

Stop Event

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

Counts

5 → 180

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (neg.f64 z)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal 4 binary64) (neg.f64 z)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z) #s(literal 4 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))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))
(/.f64 (.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 4 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x)) z))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) z))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) #s(literal 4 binary64)) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z))
(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z))
(/.f64 (.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 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) z))
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) z)
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) z) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) (.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) z) z)))
(+.f64 (.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) (.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) z) #s(literal 4 binary64)))
(+.f64 (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) z) z)))
(+.f64 (/.f64 (.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 z)) z))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
(.f64 (/.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 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (.f64 (.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (.f64 (.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (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 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64))) (.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 z (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64))) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 z (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) z) z (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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)) (.f64 #s(literal -1/2 binary64) z))
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(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))))) (exp.f64 (log.f64 (neg.f64 (+.f64 y x)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (+.f64 y x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (-.f64 x y))) (sinh.f64 (log.f64 (-.f64 x y))))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) z))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/2 binary64) z))) (sinh.f64 (log.f64 (.f64 #s(literal 1/2 binary64) z))))

eval58.0ms (0.8%)

Memory: 10.6MiB live, 56.1MiB allocated
Compiler: Compiled 5 593 to 942 computations (83.2% saved)

prune8.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	200	10	210
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	10	211

Accuracy

100.0%

Counts

211 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) z)
	99.2%	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)) (.f64 #s(literal -1/2 binary64) z))) z)
▶	62.3%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
▶	34.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	62.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	69.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
▶	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
	41.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
	71.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)))
▶	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 328 to 268 computations (18.3% saved)

simplify192.0ms (2.8%)

Memory

-14.5MiB live, 83.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	28	168
0	41	168
1	63	168
2	111	160
3	222	157
4	465	157
5	744	157
6	1014	157
7	1247	157
8	1490	157
9	1777	154
10	2074	154
11	2524	154
12	2890	154
13	3277	154
14	3558	154
15	3863	154
16	4074	154
17	4180	154
18	4225	154
19	4259	154
20	4327	154
21	4453	154
22	4507	154
23	4535	154
24	4567	154
25	4619	154
0	4619	154

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.8%)

Memory

2.5MiB live, 136.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) z x)
accuracy	0.0	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
accuracy	0.4962989755616054	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
accuracy	24.117196740635837	#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	23.89838691138812	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.4962989755616054	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy	42.21059924024345	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy	44.150506099489014	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
accuracy	0.15625	(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))

Samples

42.0ms

256×

valid

Compiler

Compiled 132 to 25 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (46.3% of total)

ival-div: 5.0ms (19.3% of total)

ival-sub: 4.0ms (15.4% of total)

ival-add: 3.0ms (11.6% of total)

exact: 1.0ms (3.9% of total)

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

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

series16.0ms (0.2%)

Memory

35.0MiB live, 35.0MiB allocated

Counts

15 → 72

Calls

Call 1

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

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

Calls

9 calls:

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

simplify200.0ms (2.9%)

Memory

-27.2MiB live, 246.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	644
1	575	596
2	1865	566
3	6340	566
0	8382	516

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

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

rewrite208.0ms (3%)

Memory

33.8MiB live, 261.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	151
0	41	151
1	139	151
2	985	143
0	8975	143

Stop Event

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

Counts

15 → 149

Calls

Call 1

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

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

eval27.0ms (0.4%)

Memory: 12.5MiB live, 55.3MiB allocated
Compiler: Compiled 7 257 to 856 computations (88.2% saved)

prune14.0ms (0.2%)

Memory

-37.2MiB live, 20.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	5	5
Picked	2	3	5
Done	0	0	0
Total	197	9	206

Accuracy

100.0%

Counts

206 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) z)
▶	99.2%	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)) (.f64 #s(literal -1/2 binary64) z))) z)
✓	34.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	62.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	69.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
▶	41.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
▶	71.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)))
✓	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 248 to 201 computations (19% saved)

simplify110.0ms (1.6%)

Memory

45.1MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	195
0	50	195
1	94	195
2	201	195
3	541	166
4	1611	164
5	4685	164
0	8162	157

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (2.7%)

Memory

-37.4MiB live, 159.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.0	(-.f64 x y)
accuracy	0.2265625	(*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z))
accuracy	17.932399651894713	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)))
accuracy	0.0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	23.89838691138812	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.1328125	(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy	19.40444990263776	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
accuracy	0.0	(/.f64 y z)
accuracy	0.016288769536884032	(*.f64 (/.f64 y z) #s(literal -4 binary64))
accuracy	37.403419701632025	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.0234375	(fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) z))
accuracy	0.0234375	(/.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.4962989755616054	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)) (.f64 #s(literal -1/2 binary64) z))) z)

Samples

148.0ms

256×

valid

Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-div: 70.0ms (75.9% of total)

ival-mult: 14.0ms (15.2% of total)

ival-add: 5.0ms (5.4% of total)

ival-sub: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series29.0ms (0.4%)

Memory

0.8MiB live, 53.2MiB allocated

Counts

19 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	((+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) z) (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) (+ y x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ y z) -4) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (- x y) (/ 4 z)) (- x y) (/ 4 z) (/ (- x y) (+ y x)) (* -1/2 z))
3.0ms	x	@	inf	((+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) z) (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) (+ y x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ y z) -4) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (- x y) (/ 4 z)) (- x y) (/ 4 z) (/ (- x y) (+ y x)) (* -1/2 z))
3.0ms	y	@	inf	((+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) z) (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) (+ y x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ y z) -4) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (- x y) (/ 4 z)) (- x y) (/ 4 z) (/ (- x y) (+ y x)) (* -1/2 z))
3.0ms	x	@	-inf	((+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) z) (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) (+ y x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ y z) -4) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (- x y) (/ 4 z)) (- x y) (/ 4 z) (/ (- x y) (+ y x)) (* -1/2 z))
3.0ms	y	@	-inf	((+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z)) (/ (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) z) (* 4 (+ (* (+ y x) (/ (- x y) (+ y x))) (* -1/2 z))) (+ y x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ y z) -4) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (- x y) (/ 4 z)) (- x y) (/ 4 z) (/ (- x y) (+ y x)) (* -1/2 z))

simplify376.0ms (5.5%)

Memory

31.7MiB live, 219.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	980
1	941	943
2	3107	849
0	8683	778

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite389.0ms (5.7%)

Memory

7.2MiB live, 237.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	172
0	50	172
1	177	151
2	1335	151
0	8427	144

Stop Event

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

Counts

19 → 419

Calls

Call 1

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

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

eval224.0ms (3.3%)

Memory: -22.0MiB live, 281.0MiB allocated
Compiler: Compiled 21 094 to 2 529 computations (88% saved)

prune21.0ms (0.3%)

Memory

-11.0MiB live, 46.4MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	596	3	599
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	598	10	608

Accuracy

100.0%

Counts

608 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
▶	60.4%	(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 x y)) z (.f64 z (.f64 #s(literal -2 binary64) z))) (.f64 z z))
✓	34.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	62.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	69.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
✓	41.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
▶	41.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	71.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)))
✓	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 163 to 135 computations (17.2% saved)

simplify90.0ms (1.3%)

Memory

29.5MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) z)
cost-diff	0	(-.f64 x y)
cost-diff	0	(fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z))
cost-diff	2	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 #s(literal 4 binary64) (-.f64 x y))
cost-diff	2	(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 x y)) z (.f64 z (*.f64 #s(literal -2 binary64) z)))
cost-diff	6	(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 x y)) z (.f64 z (.f64 #s(literal -2 binary64) z))) (.f64 z 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	37	115
1	76	109
2	226	97
3	956	97
4	3166	97
5	7801	97
0	8122	94

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.7%)

Memory

-6.2MiB live, 182.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 #s(literal -2 binary64) z)
accuracy	0.4962989755616054	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
accuracy	0.0	(*.f64 #s(literal 4 binary64) (-.f64 x y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) z)
accuracy	1.9804334474269267	(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 x y)) z (.f64 z (*.f64 #s(literal -2 binary64) z)))
accuracy	25.096834476124297	(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 x y)) z (.f64 z (.f64 #s(literal -2 binary64) z))) (.f64 z z))
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.21484375	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy	37.403419701632025	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))

Samples

79.0ms

256×

valid

Compiler

Compiled 109 to 26 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 37.0ms (67.4% of total)

ival-sub: 7.0ms (12.7% of total)

ival-div: 7.0ms (12.7% of total)

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

ival-true: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

series57.0ms (0.8%)

Memory

-5.3MiB live, 46.9MiB allocated

Counts

10 → 64

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* z z)) (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* 4 (- x y)) (- x y) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* -2 z))
2.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* z z)) (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* 4 (- x y)) (- x y) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* -2 z))
2.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* z z)) (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* 4 (- x y)) (- x y) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* -2 z))
2.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* z z)) (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* 4 (- x y)) (- x y) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* -2 z))
2.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* z z)) (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (* 4 (- x y)) (- x y) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* -2 z))

simplify134.0ms (1.9%)

Memory

12.4MiB live, 140.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	661
1	606	640
2	2046	574
0	8025	526

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

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

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

rewrite277.0ms (4%)

Memory

13.0MiB live, 355.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	82
0	37	88
1	135	74
2	992	74
0	8380	73

Stop Event

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

Counts

10 → 534

Calls

Call 1

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

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

eval97.0ms (1.4%)

Memory: -19.5MiB live, 128.6MiB allocated
Compiler: Compiled 13 711 to 1 381 computations (89.9% saved)

prune14.0ms (0.2%)

Memory

15.6MiB live, 59.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	437	1	438
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	438	10	448

Accuracy

100.0%

Counts

448 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
	51.7%	(/.f64 #s(approx (+ (* (* 4 (- x y)) z) (* z (* -2 z))) (.f64 (.f64 z (-.f64 x y)) #s(literal 4 binary64))) (*.f64 z z))
✓	34.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	62.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	69.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
✓	41.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
✓	41.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	71.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)))
✓	31.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 433 to 215 computations (50.3% saved)

regimes30.0ms (0.4%)

Memory

-42.1MiB live, 59.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(-.f64 x y)
7.0ms	z
5.0ms	y
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	`(-.f64 x y)`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes40.0ms (0.6%)

Memory

-2.6MiB live, 44.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

28.0ms	(-.f64 x y)
3.0ms	z
3.0ms	y
3.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
85.3%	3	`(-.f64 x y)`
99.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
88.9%	3	`x`
88.2%	3	`y`
90.4%	3	`z`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes11.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.5%	3	`y`
87.0%	3	`x`
69.6%	1	`z`
69.6%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
69.6%	1	`(-.f64 x y)`
83.9%	3	`x`
73.1%	3	`y`

Compiler

Compiled 5 to 10 computations (-100% saved)

regimes31.0ms (0.5%)

Memory

-19.0MiB live, 27.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

24.0ms	(-.f64 x y)
2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
69.2%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
58.7%	3	`z`
52.7%	3	`(-.f64 x y)`
59.7%	3	`y`
63.2%	5	`x`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes1.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#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) #s(literal -2 binary64))

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
69.0%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes5.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB 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	z
1.0ms	(-.f64 x y)
1.0ms	y
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
31.0%	1	`(-.f64 x y)`
31.0%	1	`z`
31.0%	1	`y`
31.0%	1	`x`
31.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.0	3471516933965118.5
0.0ms	-108581538549784.17	-909626152961.4888

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch71.0ms (1%)

Memory

-29.1MiB live, 124.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	5.244954294026206e+85	1.10303255259428e+86
17.0ms	-9.981477557956715e-57	-4.5037725162033146e-62

Samples

47.0ms

224×

valid

Compiler

Compiled 518 to 464 computations (10.4% saved)

Precisions

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

ival-sub: 29.0ms (85.6% of total)

ival-mult: 3.0ms (8.9% of total)

ival-div: 2.0ms (5.9% 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

8.6MiB live, 8.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.244954294026206e+85	1.10303255259428e+86
1.0ms	-9.981477557956715e-57	-4.5037725162033146e-62

Compiler

Compiled 518 to 464 computations (10.4% saved)

bsearch48.0ms (0.7%)

Memory

10.0MiB live, 56.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.895118693200243e+106	6.01979233677179e+123
30.0ms	-7.911808585488658e+175	-3.990978695635467e+174

Samples

34.0ms

272×

valid

Compiler

Compiled 575 to 526 computations (8.5% saved)

Precisions

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

ival-sub: 3.0ms (35.2% of total)

ival-mult: 3.0ms (35.2% of total)

ival-div: 2.0ms (23.4% 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

1.7MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.0	3471516933965118.5
0.0ms	-108581538549784.17	-909626152961.4888

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.0	3471516933965118.5
0.0ms	-108581538549784.17	-909626152961.4888

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify81.0ms (1.2%)

Memory

-10.3MiB live, 85.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	349
1	93	349
2	141	349
3	229	349
4	395	323
5	802	323
6	1628	323
7	3819	323

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) 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 -100000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 x y) (/.f64 #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 -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 x y) (/.f64 #s(literal 4 binary64) z)))))
(if (<=.f64 y #s(literal -4372946485326501/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -4372946485326501/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296 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 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -6400000000000000089850792037118113394077566116488264710005122748481363491113606918923784527588203958055186288881798521996351313719240940151857137413402988141872678763717722112 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3799999999999999944654667264008608094838847790727414836285948487471465289222528711248505737530334543698316063679223919804416 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (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 -100000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 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 -100000000000000 binary64)) #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 -2 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) 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 -100000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 x y) (/.f64 #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 -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 x y) (/.f64 #s(literal 4 binary64) z)))))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z))) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -4372946485326501/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (or (<=.f64 y #s(literal -4372946485326501/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 y #s(literal 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -4372946485326501/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296 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 #s(literal -4 binary64) z) y #s(literal -2 binary64)))))
(if (or (<=.f64 y #s(literal -4372946485326501/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 y #s(literal 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -6400000000000000089850792037118113394077566116488264710005122748481363491113606918923784527588203958055186288881798521996351313719240940151857137413402988141872678763717722112 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3799999999999999944654667264008608094838847790727414836285948487471465289222528711248505737530334543698316063679223919804416 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (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 (or (<=.f64 x #s(literal -6400000000000000089850792037118113394077566116488264710005122748481363491113606918923784527588203958055186288881798521996351313719240940151857137413402988141872678763717722112 binary64)) (not (<=.f64 x #s(literal 3799999999999999944654667264008608094838847790727414836285948487471465289222528711248505737530334543698316063679223919804416 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) 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 -100000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 y z) #s(literal -4 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 -100000000000000 binary64)) #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 -2 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2 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) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness1.0s (14.9%)

Memory

-14.6MiB live, 606.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	172
0	50	172
1	177	151
2	1335	151
0	8427	144
0	127	437
1	408	403
2	1361	386
3	4687	386
0	8202	350
0	185	644
1	575	596
2	1865	566
3	6340	566
0	8382	516

Stop Event

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

Compiler

Compiled 420 to 154 computations (63.3% saved)

preprocess220.0ms (3.2%)

Memory: 17.1MiB live, 207.3MiB allocated
Compiler: Compiled 746 to 172 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze57.0ms (0.8%)

sample1.0s (14.6%)

explain186.0ms (2.7%)

preprocess384.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify178.0ms (2.6%)

localize35.0ms (0.5%)

series95.0ms (1.4%)

simplify200.0ms (2.9%)

rewrite263.0ms (3.8%)

eval58.0ms (0.8%)

prune8.0ms (0.1%)

simplify192.0ms (2.8%)

localize57.0ms (0.8%)

series16.0ms (0.2%)

simplify200.0ms (2.9%)

rewrite208.0ms (3%)

eval27.0ms (0.4%)

prune14.0ms (0.2%)

simplify110.0ms (1.6%)

localize184.0ms (2.7%)

series29.0ms (0.4%)

simplify376.0ms (5.5%)

rewrite389.0ms (5.7%)

eval224.0ms (3.3%)

prune21.0ms (0.3%)

simplify90.0ms (1.3%)

localize114.0ms (1.7%)

series57.0ms (0.8%)

simplify134.0ms (1.9%)

rewrite277.0ms (4%)

eval97.0ms (1.4%)

prune14.0ms (0.2%)

regimes30.0ms (0.4%)

regimes40.0ms (0.6%)

regimes11.0ms (0.2%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes31.0ms (0.5%)

regimes1.0ms (0%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch71.0ms (1%)

bsearch2.0ms (0%)

bsearch48.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify81.0ms (1.2%)

soundness1.0s (14.9%)

preprocess220.0ms (3.2%)

end0.0ms (0%)

Profiling