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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze84.0ms (1.3%)

Memory

2.8MiB live, 83.8MiB 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 (15.4%)

Memory

8.9MiB live, 1 007.5MiB allocated

Samples

673.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 419.0ms

ival-sub: 182.0ms (43.4% of total)

ival-mult: 163.0ms (38.9% of total)

ival-div: 58.0ms (13.8% of total)

exact: 8.0ms (1.9% of total)

ival-true: 6.0ms (1.4% of total)

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

Bogosity

explain187.0ms (2.8%)

Memory

-11.7MiB live, 110.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

104.0ms

512×

valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

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

ival-div: 28.0ms (70.3% of total)

ival-mult: 6.0ms (15.1% of total)

ival-sub: 5.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess256.0ms (3.9%)

Memory

8.1MiB live, 128.7MiB 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)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify169.0ms (2.5%)

Memory

-1.5MiB live, 72.7MiB 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)

localize23.0ms (0.3%)

Memory

15.3MiB live, 53.8MiB 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	0.01171875	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

17.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-37.7MiB live, 19.8MiB allocated

Counts

5 → 50

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	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))
6.0ms	y	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
2.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify374.0ms (5.6%)

Memory

17.9MiB live, 175.4MiB 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)))

rewrite410.0ms (6.2%)

Memory

-8.5MiB live, 223.0MiB 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))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) z))
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(/.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))))

eval34.0ms (0.5%)

Memory: 9.5MiB live, 44.3MiB allocated
Compiler: Compiled 5 593 to 942 computations (83.2% saved)

prune7.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	201	9	210
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	9	211

Accuracy

100.0%

Counts

211 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
▶	65.7%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
	64.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
▶	38.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
	30.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	72.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	65.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
▶	99.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
▶	36.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 300 to 252 computations (16% saved)

simplify153.0ms (2.3%)

Memory

-16.7MiB live, 33.4MiB 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 y)
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
cost-diff	0	(/.f64 #s(literal 4 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
cost-diff	0	(*.f64 #s(literal 4 binary64) 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: 7 (0.0ms)

Iter	Nodes	Cost
0	27	166
0	40	159
1	60	159
2	113	159
3	236	156
4	502	156
5	812	156
6	1095	156
7	1505	153
8	2232	153
9	2906	153
10	3260	153
11	3665	153
12	3803	153
13	3917	153
14	3966	153
15	4036	153
16	4153	153
17	4201	153
18	4240	153
19	4277	153
20	4316	153
0	4316	153

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

localize98.0ms (1.5%)

Memory

-7.3MiB live, 64.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) z y)
accuracy	0.0	(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
accuracy	0.01171875	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
accuracy	22.687023561513744	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.09375	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	17.360821663168544	#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	0.01171875	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy	40.42580100872325	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy	40.66993883317782	#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	0.09375	(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 132 to 25 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (44.5% of total)

ival-div: 5.0ms (22.2% of total)

ival-sub: 4.0ms (17.8% of total)

ival-add: 3.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

15 → 63

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

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

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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
1.0ms	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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))

simplify152.0ms (2.3%)

Memory

-5.9MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	582
1	511	544
2	1614	515
3	5616	515
0	8211	471

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

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

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

rewrite387.0ms (5.8%)

Memory

4.2MiB live, 289.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	149
0	40	142
1	141	142
2	939	142
0	8463	142

Stop Event

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

Counts

15 → 180

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

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

eval29.0ms (0.4%)

Memory: -26.0MiB live, 49.8MiB allocated
Compiler: Compiled 8 378 to 1 000 computations (88.1% saved)

prune6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	1	3	4
Picked	1	4	5
Done	0	0	0
Total	223	8	231

Accuracy

100.0%

Counts

231 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
▶	64.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	38.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	30.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	72.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	65.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
✓	99.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
✓	36.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 134 to 113 computations (15.7% saved)

simplify167.0ms (2.5%)

Memory

-0.5MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	140
0	36	140
1	54	140
2	98	140
3	197	136
4	433	136
5	682	136
6	885	136
7	1107	136
8	1334	136
9	1518	136
10	1709	136
11	2103	136
12	2618	136
13	3000	136
14	3360	136
15	3647	136
16	3941	136
17	4150	136
18	4256	136
19	4301	136
20	4335	136
21	4403	136
22	4529	136
23	4583	136
24	4611	136
25	4643	136
26	4695	136
0	4695	130

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (0.9%)

Memory

4.1MiB live, 42.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) #s(literal 4 binary64))
accuracy	0.01171875	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
accuracy	23.196319651368707	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.01171875	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	45.30214965991781	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	0.0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	17.360821663168544	#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	0.06640625	(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy	21.972539274456846	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 110 to 22 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.6% of total)

ival-div: 8.0ms (36.1% of total)

ival-sub: 3.0ms (13.5% of total)

ival-add: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

13 → 52

Calls

Call 1

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

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

Calls

9 calls:

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

simplify240.0ms (3.6%)

Memory

-31.4MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	448
1	415	415
2	1299	392
3	4537	392
0	8594	358

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

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

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

rewrite219.0ms (3.3%)

Memory

16.4MiB live, 136.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	125
0	36	125
1	112	125
2	722	125
0	8323	119

Stop Event

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

Counts

13 → 183

Calls

Call 1

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

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

eval104.0ms (1.6%)

Memory: -26.2MiB live, 49.3MiB allocated
Compiler: Compiled 8 416 to 963 computations (88.6% saved)

prune6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	215	8	223

Accuracy

100.0%

Counts

223 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	38.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	30.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	72.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	99.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
▶	65.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
▶	30.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	36.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 133 to 112 computations (15.8% saved)

simplify387.0ms (5.8%)

Memory

-24.0MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
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	18	59
0	23	59
1	38	59
2	82	59
3	172	55
4	368	55
5	568	55
6	771	55
7	1039	55
8	1294	55
9	1467	55
10	1638	55
11	1949	55
12	2356	55
13	2737	55
14	2973	55
15	3332	55
16	3613	55
17	3902	55
18	4113	55
19	4219	55
20	4264	55
21	4298	55
22	4366	55
23	4492	55
24	4546	55
25	4574	55
26	4606	55
27	4658	55
0	4658	53

Stop Event

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

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

localize49.0ms (0.7%)

Memory

2.8MiB live, 41.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
accuracy	0.0	(/.f64 y z)
accuracy	21.972539274456846	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.20703125	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy	44.433953370915404	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))

Samples

31.0ms

256×

valid

Compiler

Compiled 49 to 19 computations (61.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (39.5% of total)

ival-div: 5.0ms (32.9% of total)

ival-sub: 2.0ms (13.2% of total)

ival-add: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

6 → 20

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

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

Calls

9 calls:

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

simplify142.0ms (2.1%)

Memory

5.2MiB live, 121.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	190
1	198	178
2	614	150
3	2077	138
4	6555	138
0	8091	130

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

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

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

rewrite271.0ms (4.1%)

Memory

29.8MiB live, 260.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
0	23	52
1	82	52
2	583	52
3	7256	52
0	8474	50

Stop Event

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

Counts

6 → 69

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

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

eval12.0ms (0.2%)

Memory: -10.7MiB live, 26.8MiB allocated
Compiler: Compiled 2 943 to 311 computations (89.4% saved)

prune6.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	80	8	88

Accuracy

100.0%

Counts

88 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	38.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	30.6%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	72.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	99.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
✓	65.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	30.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	36.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 347 to 167 computations (51.9% saved)

regimes28.0ms (0.4%)

Memory

-33.4MiB live, 51.0MiB allocated

Counts

13 → 1

Calls

Call 1

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes23.0ms (0.4%)

Memory

16.8MiB live, 52.9MiB allocated

Counts

12 → 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))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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)))
#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)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #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)

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:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
99.9%	1	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes19.0ms (0.3%)

Memory

3.9MiB live, 42.6MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

5.0ms	z
3.0ms	y
3.0ms	(-.f64 x y)
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
91.5%	3	`x`
88.4%	3	`y`
91.3%	4	`z`
98.7%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
85.5%	4	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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)))
#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 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.5%	3	`x`
76.2%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.1%)

Memory

-37.4MiB live, 8.3MiB 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))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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)))
#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) x #s(literal -2 binary64)))

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
91.4%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB 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))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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)))

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

Results

Accuracy	Segments	Branch
65.7%	1	`y`
72.8%	3	`z`
85.8%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

-17.0MiB live, 22.3MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.4%	4	`z`
73.7%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
55.3%	3	`(-.f64 x y)`
62.2%	3	`x`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.2%	3	`y`
64.0%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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
64.0%	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)

regimes7.0ms (0.1%)

Memory

-22.5MiB live, 16.7MiB 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:

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

Results

Accuracy	Segments	Branch
36.5%	1	`y`
36.5%	1	`(-.f64 x y)`
36.5%	1	`z`
36.5%	1	`x`
36.5%	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

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	33062791.779740006	4433687963411.585
0.0ms	-5065.927078239332	-759.5118430670201

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch45.0ms (0.7%)

Memory

7.8MiB live, 47.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	3.945243630752751e-101	4.739010255027045e-97
13.0ms	-7.022694585066768e+53	-1.4249877578645143e+45

Samples

31.0ms

272×

valid

Compiler

Compiled 626 to 560 computations (10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 20.0ms (80.5% of total)

ival-sub: 3.0ms (12.1% of total)

ival-div: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.945243630752751e-101	4.739010255027045e-97
1.0ms	-7.022694585066768e+53	-1.4249877578645143e+45

Compiler

Compiled 626 to 560 computations (10.5% saved)

bsearch43.0ms (0.6%)

Memory

7.6MiB live, 49.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.587438714964253e+84	3.0957615897640625e+85
31.0ms	-7.022694585066768e+53	-1.4249877578645143e+45

Samples

12.0ms

224×

valid

Compiler

Compiled 509 to 466 computations (8.4% saved)

Precisions

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

ival-mult: 3.0ms (44.4% of total)

ival-sub: 2.0ms (29.6% of total)

ival-div: 1.0ms (14.8% 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

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2607586990699706e+112	6.140199123053097e+117
0.0ms	-1.3679840506712506	28455.01758733328
0.0ms	-5065.927078239332	-759.5118430670201

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.3679840506712506	28455.01758733328
0.0ms	-18085875628680.09	-3853432.2834776356

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.3679840506712506	28455.01758733328
0.0ms	-18085875628680.09	-3853432.2834776356

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify58.0ms (0.9%)

Memory

2.4MiB live, 78.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	456
1	107	456
2	152	456
3	238	456
4	402	432
5	805	432
6	1628	432
7	3801	432

Stop Event

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)
#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 -5000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 x y) #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 50000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)))
(if (<=.f64 x #s(literal -7500000000000000572232738081891525247122372820992 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y 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)))))
(if (<=.f64 x #s(literal -7500000000000000572232738081891525247122372820992 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 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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 -24999999999999999830523716859040699411542711048601600 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 9199999999999999582462688378963728890143926506192790349274501468331202138108625682432 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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 -5000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000000000 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 -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 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 -5000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 x y) #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 50000000 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #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 -5000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 50000000 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 x y) #s(literal 4 binary64))) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -7500000000000000572232738081891525247122372820992 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y 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)))))
(if (or (<=.f64 x #s(literal -7500000000000000572232738081891525247122372820992 binary64)) (not (<=.f64 x #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -7500000000000000572232738081891525247122372820992 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 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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 (or (<=.f64 x #s(literal -7500000000000000572232738081891525247122372820992 binary64)) (not (<=.f64 x #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -24999999999999999830523716859040699411542711048601600 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 9199999999999999582462688378963728890143926506192790349274501468331202138108625682432 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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 -24999999999999999830523716859040699411542711048601600 binary64)) (not (<=.f64 x #s(literal 9199999999999999582462688378963728890143926506192790349274501468331202138108625682432 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 #s(literal -4 binary64) (/.f64 y 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 -5000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000000000 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 -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #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 -10000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #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))

soundness1.1s (16.9%)

Memory

-22.3MiB live, 620.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	582
1	511	544
2	1614	515
3	5616	515
0	8211	471
0	127	437
1	408	403
2	1361	386
3	4687	386
0	8202	350
0	133	448
1	415	415
2	1299	392
3	4537	392
0	8594	358
0	25	125
0	36	125
1	112	125
2	722	125
0	8323	119

Stop Event

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

Compiler

Compiled 599 to 237 computations (60.4% saved)

preprocess137.0ms (2.1%)

Memory: 17.1MiB live, 172.1MiB allocated
Compiler: Compiled 960 to 200 computations (79.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze84.0ms (1.3%)

sample1.0s (15.4%)

explain187.0ms (2.8%)

preprocess256.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify169.0ms (2.5%)

localize23.0ms (0.3%)

series27.0ms (0.4%)

simplify374.0ms (5.6%)

rewrite410.0ms (6.2%)

eval34.0ms (0.5%)

prune7.0ms (0.1%)

simplify153.0ms (2.3%)

localize98.0ms (1.5%)

series16.0ms (0.2%)

simplify152.0ms (2.3%)

rewrite387.0ms (5.8%)

eval29.0ms (0.4%)

prune6.0ms (0.1%)

simplify167.0ms (2.5%)

localize59.0ms (0.9%)

series11.0ms (0.2%)

simplify240.0ms (3.6%)

rewrite219.0ms (3.3%)

eval104.0ms (1.6%)

prune6.0ms (0.1%)

simplify387.0ms (5.8%)

localize49.0ms (0.7%)

series7.0ms (0.1%)

simplify142.0ms (2.1%)

rewrite271.0ms (4.1%)

eval12.0ms (0.2%)

prune6.0ms (0.1%)

regimes28.0ms (0.4%)

regimes23.0ms (0.4%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch45.0ms (0.7%)

bsearch3.0ms (0%)

bsearch43.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify58.0ms (0.9%)

soundness1.1s (16.9%)

preprocess137.0ms (2.1%)

end0.0ms (0%)

Profiling