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

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze64.0ms (1%)

Memory

-15.9MiB live, 79.4MiB allocated; 17ms collecting garbage

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)

sample973.0ms (15.5%)

Memory

32.8MiB live, 1 389.5MiB allocated; 202ms collecting garbage

Samples

613.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-mult: 135.0ms (41.5% of total)

ival-sub: 115.0ms (35.3% of total)

ival-div: 57.0ms (17.5% of total)

exact: 8.0ms (2.5% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain129.0ms (2.1%)

Memory

-2.7MiB live, 205.3MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 10.0ms (43.6% of total)

ival-mult: 7.0ms (30.5% of total)

ival-sub: 5.0ms (21.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess285.0ms (4.5%)

Memory

-24.1MiB live, 121.2MiB allocated; 15ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify189.0ms (3%)

Memory

10.7MiB live, 108.9MiB allocated; 12ms collecting garbage

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)

localize24.0ms (0.4%)

Memory

0.7MiB live, 47.3MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	0.00390625	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
accuracy	0.24181763841382184	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

18.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-sub: 3.0ms (37.7% of total)

ival-mult: 3.0ms (37.7% of total)

ival-div: 2.0ms (25.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

5 → 50

Calls

Call 1

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

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

Calls

9 calls:

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

simplify180.0ms (2.9%)

Memory

14.9MiB live, 156.3MiB allocated; 20ms collecting garbage

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)))

rewrite239.0ms (3.8%)

Memory

-39.1MiB live, 247.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 180

Calls

Call 1

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

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

eval27.0ms (0.4%)

Memory: 24.1MiB live, 69.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 593 to 942 computations (83.2% saved)

prune14.0ms (0.2%)

Memory

-21.3MiB live, 28.3MiB allocated; 9ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

211 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)) z)
▶	62.8%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
	72.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
▶	36.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	68.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	62.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
▶	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
	78.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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))
	41.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
▶	28.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 368 to 302 computations (17.9% saved)

simplify166.0ms (2.7%)

Memory

28.8MiB live, 104.2MiB allocated; 23ms collecting garbage

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) y)
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff	0	(/.f64 #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	61	159
2	114	159
3	239	156
4	507	156
5	807	156
6	1089	156
7	1492	153
8	2215	153
9	2889	153
10	3240	153
11	3645	153
12	3783	153
13	3897	153
14	3946	153
15	4016	153
16	4133	153
17	4181	153
18	4220	153
19	4257	153
20	4296	153
0	4296	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) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (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) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (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)

localize107.0ms (1.7%)

Memory

6.2MiB live, 155.5MiB allocated; 50ms collecting garbage

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	0.24181763841382184	(/.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	24.78926797613208	#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	0.078125	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	20.42514019673514	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.24181763841382184	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	41.849431562776864	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	45.65133593354719	#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	0.1484375	(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))

Samples

86.0ms

256×

valid

Compiler

Compiled 132 to 25 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 34.0ms (72.4% of total)

ival-div: 5.0ms (10.6% of total)

ival-sub: 4.0ms (8.5% of total)

ival-add: 3.0ms (6.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series53.0ms (0.8%)

Memory

13.8MiB live, 55.6MiB allocated; 13ms collecting garbage

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) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (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))
-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))
(* 4 x)
(* 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))))
(* -4 y)
(* -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))))
(* 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
38.0ms	y	@	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 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
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 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 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 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
2.0ms	y	@	-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 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
1.0ms	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 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))

simplify179.0ms (2.8%)

Memory

0.3MiB live, 225.0MiB allocated; 76ms collecting garbage

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

rewrite423.0ms (6.7%)

Memory

-33.4MiB live, 322.5MiB allocated; 162ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	149
0	40	142
1	142	142
2	940	142
0	8451	142

Stop Event

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

Counts

15 → 184

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

eval43.0ms (0.7%)

Memory: 24.1MiB live, 69.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 453 to 1 009 computations (88.1% saved)

prune27.0ms (0.4%)

Memory

-25.8MiB live, 30.3MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	1	4	5
Picked	0	5	5
Done	0	0	0
Total	226	10	236

Accuracy

100.0%

Counts

236 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.8%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
▶	72.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	36.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	68.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶	62.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
▶	91.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
▶	78.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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))
▶	41.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
✓	28.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 294 to 237 computations (19.4% saved)

simplify191.0ms (3%)

Memory

27.8MiB live, 164.6MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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))
cost-diff	5	(*.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)
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) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) #s(literal 4 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
cost-diff	0	#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
cost-diff	0	(fma.f64 #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	256
0	56	250
1	95	250
2	178	250
3	420	246
4	1186	246
5	3629	238
0	8031	232

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.5%)

Memory

1.9MiB live, 193.1MiB allocated; 14ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy	0.01953125	(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
accuracy	6.619621914505185	(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z)
accuracy	6.949300491201312	(*.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)
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) #s(literal 4 binary64))
accuracy	0.24181763841382184	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
accuracy	17.19247436884597	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.5868654308846909	(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy	23.828417725010354	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(*.f64 (/.f64 x z) #s(literal 4 binary64))
accuracy	37.19940586013748	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
accuracy	0.0	#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0.1484375	(fma.f64 #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
accuracy	7.7866382372468115	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)

Samples

60.0ms

256×

valid

Compiler

Compiled 196 to 34 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (41.3% of total)

ival-div: 10.0ms (25.8% of total)

ival-add: 6.0ms (15.5% of total)

ival-sub: 5.0ms (12.9% of total)

exact: 1.0ms (2.6% of total)

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

adjust: 0.0ms (0% of total)

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

series97.0ms (1.5%)

Memory

-1.9MiB live, 97.1MiB allocated; 45ms collecting garbage

Counts

20 → 113

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	x	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (* (- 1 (/ x y)) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (- 1 (/ x y)) (/ (+ (* 1/2 z) y) x))
18.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (* (- 1 (/ x y)) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (- 1 (/ x y)) (/ (+ (* 1/2 z) y) x))
9.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (* (- 1 (/ x y)) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (- 1 (/ x y)) (/ (+ (* 1/2 z) y) x))
3.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (* (- 1 (/ x y)) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (- 1 (/ x y)) (/ (+ (* 1/2 z) y) x))
3.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (* (- 1 (/ x y)) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ x z) 4) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (- 1 (/ x y)) (/ (+ (* 1/2 z) y) x))

simplify164.0ms (2.6%)

Memory

-3.0MiB live, 215.6MiB allocated; 53ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1089
1	777	989
2	2677	908
0	8694	838

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 111

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

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

rewrite190.0ms (3%)

Memory

12.8MiB live, 235.8MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	223
0	56	217
1	207	217
2	1320	217
0	8132	217

Stop Event

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

Counts

20 → 297

Calls

Call 1

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

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

eval65.0ms (1%)

Memory: 4.2MiB live, 110.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 16 508 to 1 875 computations (88.6% saved)

prune10.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	372	4	376
Fresh	0	0	0
Picked	3	2	5
Done	1	4	5
Total	376	10	386

Accuracy

100.0%

Counts

386 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	36.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	87.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
✓	68.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
▶	62.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
▶	60.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 (fma.f64 #s(approx (/ (+ ( 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) z) x))
✓	41.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
▶	28.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 #s(approx (/ (+ ( (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x)) x))
✓	28.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 202 to 160 computations (20.8% saved)

simplify194.0ms (3.1%)

Memory

0.6MiB live, 185.3MiB allocated; 81ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
cost-diff	3	(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
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	(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) z)
cost-diff	0	(.f64 (/.f64 (fma.f64 #s(approx (/ (+ ( 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 (fma.f64 #s(approx (/ (+ ( 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) z) x))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	(.f64 #s(approx (/ (+ ( (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x)) x)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 #s(approx (/ (+ ( (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	257
0	52	257
1	95	257
2	208	257
3	536	249
4	1524	246
5	3969	242
6	5932	242
0	8060	228

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.5%)

Memory

-17.3MiB live, 126.6MiB allocated; 47ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
accuracy	0.00390625	(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))
accuracy	3.16445875399264	(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
accuracy	4.729557432620503	(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
accuracy	0.0	(/.f64 y z)
accuracy	0.0078125	(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
accuracy	23.828417725010354	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
accuracy	0.00390625	(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy	6.619621914505185	(/.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) z)
accuracy	6.949300491201312	(.f64 (/.f64 (fma.f64 #s(approx (/ (+ ( 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
accuracy	27.36668016333381	#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 #s(approx (/ (+ ( (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x)) x))
accuracy	6.949300491201312	(.f64 #s(approx (/ (+ ( (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x)) x)
accuracy	45.448775267338334	#s(approx (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x))

Samples

66.0ms

256×

valid

Compiler

Compiled 185 to 32 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 28.0ms (56.2% of total)

ival-mult: 13.0ms (26.1% of total)

ival-add: 6.0ms (12% of total)

ival-sub: 3.0ms (6% of total)

exact: 1.0ms (2% of total)

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

adjust: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

-5.5MiB live, 40.1MiB allocated; 7ms collecting garbage

Counts

16 → 83

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (/ -2 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ (+ (* (/ x y) 4) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ x y) 4) -4) z) (+ (* (/ x y) 4) -4) (/ (+ (* 1/2 z) y) x))
3.0ms	x	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (/ -2 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ (+ (* (/ x y) 4) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ x y) 4) -4) z) (+ (* (/ x y) 4) -4) (/ (+ (* 1/2 z) y) x))
3.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (/ -2 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ (+ (* (/ x y) 4) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ x y) 4) -4) z) (+ (* (/ x y) 4) -4) (/ (+ (* 1/2 z) y) x))
2.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (/ -2 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ (+ (* (/ x y) 4) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ x y) 4) -4) z) (+ (* (/ x y) 4) -4) (/ (+ (* 1/2 z) y) x))
2.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (/ -2 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) x) (/ (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) z) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ (+ (* (/ x y) 4) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ x y) 4) -4) z) (+ (* (/ x y) 4) -4) (/ (+ (* 1/2 z) y) x))

simplify200.0ms (3.2%)

Memory

7.5MiB live, 190.8MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	908
1	654	808
2	2340	730
0	8631	660

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

Calls

Call 1

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

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

rewrite547.0ms (8.7%)

Memory

11.2MiB live, 241.5MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	234
0	52	234
1	213	234
2	1442	234
0	8214	219

Stop Event

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

Counts

16 → 250

Calls

Call 1

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

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

eval128.0ms (2%)

Memory: 16.2MiB live, 170.6MiB allocated; 50ms collecting garbage
Compiler: Compiled 14 890 to 1 450 computations (90.3% saved)

prune28.0ms (0.4%)

Memory

-3.1MiB live, 42.6MiB allocated; 8ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	298	9	307

Accuracy

100.0%

Counts

307 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
✓	36.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	68.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
✓	62.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	41.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
✓	28.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 #s(approx (/ (+ ( (/ (+ (* 1/2 z) y) x) -4) 4) z) (/.f64 #s(literal -2 binary64) x)) x))
	67.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(approx (+ (* (/ (+ (* (/ x y) 4) -4) z) y) -2) (/.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y) z)))
✓	28.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 546 to 244 computations (55.3% saved)

regimes34.0ms (0.5%)

Memory

-26.1MiB live, 74.0MiB allocated; 17ms collecting garbage

Counts

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

10.0ms	(-.f64 x y)
8.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

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

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes17.0ms (0.3%)

Memory

10.2MiB live, 56.4MiB allocated; 2ms collecting garbage

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

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

Results

Accuracy	Segments	Branch
83.6%	3	`(-.f64 x y)`
99.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
88.5%	3	`x`
90.4%	4	`y`
89.4%	3	`z`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes13.0ms (0.2%)

Memory

-5.3MiB live, 41.8MiB allocated; 3ms collecting garbage

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

4 calls:

4.0ms	x
3.0ms	z
3.0ms	y
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
88.5%	3	`x`
87.7%	3	`y`
68.0%	1	`z`
68.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes5.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

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

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

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

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
69.5%	3	`y`
84.0%	3	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes45.0ms (0.7%)

Memory

-20.6MiB live, 27.0MiB allocated; 2ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

37.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
2.0ms	(-.f64 x y)

Results

Accuracy	Segments	Branch
61.2%	3	`y`
57.9%	4	`z`
67.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
54.7%	4	`(-.f64 x y)`
62.4%	3	`x`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes7.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
28.7%	1	`(-.f64 x y)`
28.7%	1	`z`
28.7%	1	`y`
28.7%	1	`x`
28.7%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	24268.873532939742	144623712644800900.0
0.0ms	-89782815.6656261	-381929.35121451697

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch77.0ms (1.2%)

Memory

-33.1MiB live, 63.6MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.7104581797493913e+80	1.5755719865770598e+86
39.0ms	-1.189470698790229e+61	-4.2843360096050955e+55

Samples

17.0ms

288×

valid

Compiler

Compiled 662 to 592 computations (10.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (40.6% of total)

ival-sub: 3.0ms (30.4% of total)

ival-div: 3.0ms (30.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Memory

34.6MiB live, 34.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.538686555301742e+161	3.0567282362844956e+161
13.0ms	-1.189470698790229e+61	-4.2843360096050955e+55

Samples

10.0ms

160×

valid

Compiler

Compiled 399 to 357 computations (10.5% saved)

Precisions

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

ival-sub: 2.0ms (36.2% of total)

ival-mult: 2.0ms (36.2% of total)

ival-div: 1.0ms (18.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999999999999996	24268.873532939742
0.0ms	-89782815.6656261	-381929.35121451697

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify78.0ms (1.2%)

Memory

11.5MiB live, 103.5MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	245
1	86	245
2	133	245
3	219	245
4	385	227
5	791	227
6	1612	227
7	3792	227

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50000000 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 40000 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 -42999999999999998942865467425438460195260596282116276224 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 16999999999999999714914874911890173592083832070710448669720923815583203066418036736 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 -11800000000000000401841581399645339370971189744604834330312704 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x z) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 269999999999999975227807413482487203604752884778015613335034590076799035698796734032119332801691638944439370655371991341702338644554380708309189539611408494231552 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) (*.f64 (/.f64 x z) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x z) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
#s(approx (/ (* 4 (- (- 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 -50000000 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 40000 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 -50000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 40000 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 -42999999999999998942865467425438460195260596282116276224 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 16999999999999999714914874911890173592083832070710448669720923815583203066418036736 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 -42999999999999998942865467425438460195260596282116276224 binary64)) (not (<=.f64 x #s(literal 16999999999999999714914874911890173592083832070710448669720923815583203066418036736 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 -11800000000000000401841581399645339370971189744604834330312704 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x z) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 269999999999999975227807413482487203604752884778015613335034590076799035698796734032119332801691638944439370655371991341702338644554380708309189539611408494231552 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) (*.f64 (/.f64 x z) #s(literal 4 binary64)))))
(if (or (<=.f64 x #s(literal -11800000000000000401841581399645339370971189744604834330312704 binary64)) (not (<=.f64 x #s(literal 269999999999999975227807413482487203604752884778015613335034590076799035698796734032119332801691638944439370655371991341702338644554380708309189539611408494231552 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x z) #s(literal 4 binary64))) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (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 -50000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x z) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50000000 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 x z) #s(literal 4 binary64))) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

derivations737.0ms (11.7%)

Memory

-75.1MiB live, 442.5MiB allocated; 161ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	437
1	408	403
2	1361	386
3	4687	386
0	8202	350
0	36	223
0	56	217
1	207	217
2	1320	217
0	8132	217

Stop Event

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

Compiler

Compiled 245 to 62 computations (74.7% saved)

preprocess65.0ms (1%)

Memory: 28.2MiB live, 115.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 538 to 166 computations (69.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze64.0ms (1%)

sample973.0ms (15.5%)

explain129.0ms (2.1%)

preprocess285.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify189.0ms (3%)

localize24.0ms (0.4%)

series11.0ms (0.2%)

simplify180.0ms (2.9%)

rewrite239.0ms (3.8%)

eval27.0ms (0.4%)

prune14.0ms (0.2%)

simplify166.0ms (2.7%)

localize107.0ms (1.7%)

series53.0ms (0.8%)

simplify179.0ms (2.8%)

rewrite423.0ms (6.7%)

eval43.0ms (0.7%)

prune27.0ms (0.4%)

simplify191.0ms (3%)

localize97.0ms (1.5%)

series97.0ms (1.5%)

simplify164.0ms (2.6%)

rewrite190.0ms (3%)

eval65.0ms (1%)

prune10.0ms (0.2%)

simplify194.0ms (3.1%)

localize96.0ms (1.5%)

series33.0ms (0.5%)

simplify200.0ms (3.2%)

rewrite547.0ms (8.7%)

eval128.0ms (2%)

prune28.0ms (0.4%)

regimes34.0ms (0.5%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes45.0ms (0.7%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch77.0ms (1.2%)

bsearch19.0ms (0.3%)

bsearch1.0ms (0%)

simplify78.0ms (1.2%)

derivations737.0ms (11.7%)

preprocess65.0ms (1%)

end0.0ms (0%)

Profiling