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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze54.0ms (0.8%)

Memory

-8.1MiB live, 77.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample938.0ms (13.9%)

Memory

57.7MiB live, 1 093.9MiB allocated

Samples

567.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-mult: 152.0ms (42.4% of total)

ival-sub: 125.0ms (34.9% of total)

ival-div: 62.0ms (17.3% of total)

exact: 9.0ms (2.5% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

explain130.0ms (1.9%)

Memory

-41.7MiB live, 178.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

65.0ms

512×

valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

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

ival-mult: 7.0ms (42.4% of total)

ival-sub: 5.0ms (30.3% of total)

ival-div: 4.0ms (24.2% of total)

exact: 1.0ms (6.1% of total)

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

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

preprocess225.0ms (3.3%)

Memory

23.8MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify202.0ms (3%)

Memory

4.0MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.7%)

Memory

-22.7MiB live, 54.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 z #s(literal 1/2 binary64))
accuracy	0.0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.03125	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

16.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-sub: 3.0ms (36.1% of total)

ival-mult: 3.0ms (36.1% of total)

ival-div: 2.0ms (24.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

5 → 50

Calls

Call 1

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

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

Calls

9 calls:

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

simplify141.0ms (2.1%)

Memory

-7.8MiB live, 109.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

rewrite218.0ms (3.2%)

Memory

-0.2MiB live, 190.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	474	33
3	6858	33
0	8009	30

Stop Event

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

Counts

5 → 338

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))

eval70.0ms (1%)

Memory: 13.1MiB live, 61.3MiB allocated
Compiler: Compiled 9 309 to 1 381 computations (85.2% saved)

prune44.0ms (0.7%)

Memory

-4.3MiB live, 34.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	350	10	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	351	10	361

Accuracy

100.0%

Counts

361 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (*.f64 #s(literal -1/2 binary64) z))) z)
	66.2%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
▶	69.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
▶	66.1%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
	67.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
▶	31.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 328 to 276 computations (15.9% saved)

simplify204.0ms (3%)

Memory

14.2MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	168
0	44	168
1	76	158
2	143	158
3	342	155
4	764	155
5	1997	155
6	3622	155
7	3983	155
8	4055	155
9	4098	155
10	4115	155
11	4121	155
12	4626	155
13	4770	155
14	4770	155
15	4770	155
16	4842	155
17	4986	155
0	4986	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (2%)

Memory

-7.3MiB live, 71.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 (-.f64 y x) #s(literal -4 binary64))
accuracy	0.03125	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
accuracy	19.781795137783543	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.08984375	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	21.614386374115913	#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	0.03125	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	41.24357460937119	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	43.80427743471358	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
accuracy	0.12890625	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)

Samples

113.0ms

256×

valid

Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 43.0ms (44% of total)

ival-mult: 40.0ms (40.9% of total)

exact: 9.0ms (9.2% of total)

ival-sub: 4.0ms (4.1% of total)

ival-add: 2.0ms (2% of total)

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

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

series34.0ms (0.5%)

Memory

-9.1MiB live, 28.6MiB allocated

Counts

16 → 135

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	y	@	inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (- x y))
3.0ms	x	@	inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (- x y))
2.0ms	x	@	0	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (- x y))
2.0ms	x	@	-inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (- x y))
2.0ms	y	@	0	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (- x y))

simplify174.0ms (2.6%)

Memory

0.8MiB live, 152.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	2085
1	1529	2005
2	4643	1929
0	8544	1783

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 133

Calls

Call 1

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

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

rewrite161.0ms (2.4%)

Memory

43.2MiB live, 229.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	150
0	44	150
1	167	140
2	1185	140
0	8512	140

Stop Event

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

Counts

16 → 527

Calls

Call 1

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

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

eval124.0ms (1.8%)

Memory: -42.2MiB live, 188.8MiB allocated
Compiler: Compiled 16 959 to 2 530 computations (85.1% saved)

prune38.0ms (0.6%)

Memory

-7.0MiB live, 114.4MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	639	5	644
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	644	10	654

Accuracy

100.0%

Counts

654 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
▶	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	68.9%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx (/ 1 (+ ( -1/2 z) (- x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) z))
	34.9%	(/.f64 #s(literal 4 binary64) #s(approx (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z) x)))
	67.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
▶	66.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	31.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
▶	36.0%	#s(approx (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (*.f64 (/.f64 #s(literal 4 binary64) z) x))

Compiler

Compiled 307 to 253 computations (17.6% saved)

simplify272.0ms (4%)

Memory

13.7MiB live, 97.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	187
0	49	187
1	86	185
2	146	185
3	346	179
4	722	179
5	1750	179
6	3195	179
7	4096	179
8	4328	179
9	4498	179
10	4682	179
11	4911	179
12	5005	179
13	5547	179
14	5798	179
15	5802	179
16	5802	179
17	5802	179
18	5834	179
19	5941	179
0	5941	171

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize274.0ms (4.1%)

Memory

-6.2MiB live, 108.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x z)
accuracy	0.00390625	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	21.614386374115913	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.03125	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy	41.672334578200136	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy	0.0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.234375	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy	39.5915251947673	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
accuracy	0.0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.17578125	(*.f64 (/.f64 #s(literal 4 binary64) z) x)
accuracy	40.88744004286896	#s(approx (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy	0.12890625	(/.f64 #s(literal 4 binary64) (.f64 #s(approx (/ 1 (+ ( -1/2 z) (- x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) z))
accuracy	0.19921875	(.f64 #s(approx (/ 1 (+ ( -1/2 z) (- x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) z)
accuracy	19.70000529931842	#s(approx (/ 1 (+ (* -1/2 z) (- x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

Samples

259.0ms

256×

valid

Compiler

Compiled 145 to 30 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-div: 188.0ms (87.3% of total)

ival-mult: 21.0ms (9.7% of total)

ival-sub: 3.0ms (1.4% of total)

ival-add: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series30.0ms (0.4%)

Memory

-8.1MiB live, 36.2MiB allocated

Counts

16 → 123

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (/ 1 (- x y)) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z))
3.0ms	x	@	-inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (/ 1 (- x y)) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z))
2.0ms	x	@	inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (/ 1 (- x y)) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z))
2.0ms	z	@	0	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (/ 1 (- x y)) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z))
2.0ms	z	@	-inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (/ 1 (- x y)) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z))

simplify383.0ms (5.7%)

Memory

18.3MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	2170
1	1654	2075
2	4885	1988
0	8806	1841

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

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

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

rewrite199.0ms (2.9%)

Memory

-15.4MiB live, 171.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	166
0	49	166
1	186	164
2	1225	164
0	8436	156

Stop Event

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

Counts

16 → 262

Calls

Call 1

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

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

eval79.0ms (1.2%)

Memory: 24.3MiB live, 95.8MiB allocated
Compiler: Compiled 9 707 to 1 397 computations (85.6% saved)

prune38.0ms (0.6%)

Memory

-21.1MiB live, 64.5MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	375	0	375
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	375	10	385

Accuracy

100.0%

Counts

385 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	68.9%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx (/ 1 (+ ( -1/2 z) (- x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) z))
▶	34.9%	(/.f64 #s(literal 4 binary64) #s(approx (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z) x)))
▶	67.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	66.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	31.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	36.0%	#s(approx (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (*.f64 (/.f64 #s(literal 4 binary64) z) x))

Compiler

Compiled 176 to 146 computations (17% saved)

simplify224.0ms (3.3%)

Memory

-9.0MiB live, 189.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	114
0	37	113
1	69	107
2	138	107
3	340	106
4	702	106
5	1656	106
6	3920	106
7	5477	106
8	6331	106
9	6900	106
10	7027	106
11	7062	106
12	7079	106
13	7438	106
0	8060	105

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

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

localize117.0ms (1.7%)

Memory

10.2MiB live, 143.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 #s(literal 4 binary64) #s(approx (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z) x)))
accuracy	1.9582069535370472	(/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z) x)
accuracy	3.122974184727948	(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z)
accuracy	41.72398667193441	#s(approx (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z) x))
accuracy	0.0	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy	0.0	(/.f64 y z)
accuracy	20.627696895423878	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))

Samples

91.0ms

256×

valid

Compiler

Compiled 92 to 30 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 58.0ms (74.9% of total)

ival-mult: 11.0ms (14.2% of total)

ival-add: 5.0ms (6.5% of total)

ival-sub: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

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

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

series173.0ms (2.6%)

Memory

-14.7MiB live, 23.0MiB allocated

Counts

7 → 83

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
159.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ (+ (* z (/ (+ (* 1/2 z) y) x)) z) x) (+ (* z (/ (+ (* 1/2 z) y) x)) z))
2.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ (+ (* z (/ (+ (* 1/2 z) y) x)) z) x) (+ (* z (/ (+ (* 1/2 z) y) x)) z))
2.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ (+ (* z (/ (+ (* 1/2 z) y) x)) z) x) (+ (* z (/ (+ (* 1/2 z) y) x)) z))
2.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ (+ (* z (/ (+ (* 1/2 z) y) x)) z) x) (+ (* z (/ (+ (* 1/2 z) y) x)) z))
2.0ms	y	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ (+ (* z (/ (+ (* 1/2 z) y) x)) z) x) (+ (* z (/ (+ (* 1/2 z) y) x)) z))

simplify221.0ms (3.3%)

Memory

32.5MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	1390
1	1092	1346
2	3306	1269
0	8617	1171

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

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

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

rewrite215.0ms (3.2%)

Memory

-7.7MiB live, 183.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	95
0	37	94
1	181	88
2	1354	88
0	8306	88

Stop Event

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

Counts

7 → 191

Calls

Call 1

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

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

eval54.0ms (0.8%)

Memory: 20.8MiB live, 104.2MiB allocated
Compiler: Compiled 9 167 to 1 165 computations (87.3% saved)

prune30.0ms (0.5%)

Memory

-3.1MiB live, 72.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	261	1	262
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	262	10	272

Accuracy

100.0%

Counts

272 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	68.9%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx (/ 1 (+ ( -1/2 z) (- x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) z))
	36.0%	(/.f64 #s(literal 4 binary64) #s(approx (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/.f64 #s(approx (+ (* z (/ (+ (* 1/2 z) y) x)) z) (fma.f64 (*.f64 z (/.f64 z x)) #s(literal 1/2 binary64) z)) x)))
✓	67.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	66.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	31.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	36.0%	#s(approx (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (*.f64 (/.f64 #s(literal 4 binary64) z) x))

Compiler

Compiled 497 to 250 computations (49.7% saved)

regimes37.0ms (0.6%)

Memory

-17.8MiB live, 31.8MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	(-.f64 x y)
6.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

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

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes22.0ms (0.3%)

Memory

19.0MiB live, 56.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

6.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
4.0ms	z
4.0ms	y
4.0ms	(-.f64 x y)
4.0ms	x

Results

Accuracy	Segments	Branch
90.7%	3	`x`
87.0%	3	`y`
89.3%	3	`z`
98.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
83.2%	3	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes8.0ms (0.1%)

Memory

-23.8MiB live, 14.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.5%	3	`x`
67.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes13.0ms (0.2%)

Memory

-5.5MiB live, 32.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	(-.f64 x y)
3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
66.2%	1	`(-.f64 x y)`
79.7%	3	`y`
71.7%	3	`z`
73.3%	3	`x`

Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

-3.4MiB live, 41.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.4%	4	`(-.f64 x y)`
66.7%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
65.3%	6	`z`
62.9%	5	`x`
62.0%	5	`y`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
66.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
64.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes6.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.6%	1	`(-.f64 x y)`
31.6%	1	`y`
31.6%	1	`x`
31.6%	1	`z`
31.6%	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

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999999999631082	12317.805134699585
0.0ms	-7.651617783724253e+29	-755473447575501400.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch150.0ms (2.2%)

Memory

-36.2MiB live, 41.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.447863955731137e+84	1.219743888731232e+90
13.0ms	-5.9384611791423934e-8	-2.4934891735389818e-12

Samples

15.0ms

272×

valid

Compiler

Compiled 626 to 560 computations (10.5% saved)

Precisions

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

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

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

ival-div: 2.0ms (23.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.5%)

Memory

15.2MiB live, 53.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.393441720191722e+168	3.2745653796584728e+174
16.0ms	-1.0315402559321904e+135	-3.131051982301872e+113

Samples

19.0ms

320×

valid

Compiler

Compiled 674 to 616 computations (8.6% saved)

Precisions

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

ival-mult: 4.0ms (39.8% of total)

ival-sub: 3.0ms (29.9% of total)

ival-div: 2.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.393441720191722e+168	3.2745653796584728e+174
1.0ms	-1.0315402559321904e+135	-3.131051982301872e+113

Compiler

Compiled 674 to 616 computations (8.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999999999631082	12317.805134699585
0.0ms	-7.651617783724253e+29	-755473447575501400.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999999999631082	12317.805134699585
0.0ms	-7.651617783724253e+29	-755473447575501400.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9999999999631082	12317.805134699585
0.0ms	-595349.2466868411	-1183.6639576192954

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify70.0ms (1%)

Memory

-9.2MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	394
1	121	392
2	196	392
3	451	372
4	1086	372
5	2913	372
6	6582	372

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000009942312419328 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 y x) #s(literal -4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)))
(if (<=.f64 x #s(literal -4382356096103031/75557863725914323419136 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 12199999999999999971442091410516537354791848583638028149665782438359918988988281520128 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -66000000000000000257009209421191442222580508251387333998089218634024251935002622959185580016212806571952976225162493952 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 7499999999999999922947709071278468579477907817160177873317878060820047904108322473497819184267187628840430977213471026380040924428525185129404776663858275457259418943488 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 y #s(literal -66000000000000000257009209421191442222580508251387333998089218634024251935002622959185580016212806571952976225162493952 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 7499999999999999922947709071278468579477907817160177873317878060820047904108322473497819184267187628840430977213471026380040924428525185129404776663858275457259418943488 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000009942312419328 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000009942312419328 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000 binary64)) #s(approx (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (*.f64 (/.f64 #s(literal 4 binary64) z) x))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000009942312419328 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 y x) #s(literal -4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000009942312419328 binary64)) (not (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 (-.f64 y x) #s(literal -4 binary64))) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -4382356096103031/75557863725914323419136 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 12199999999999999971442091410516537354791848583638028149665782438359918988988281520128 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))))
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(if (or (<=.f64 y #s(literal -66000000000000000257009209421191442222580508251387333998089218634024251935002622959185580016212806571952976225162493952 binary64)) (not (<=.f64 y #s(literal 7499999999999999922947709071278468579477907817160177873317878060820047904108322473497819184267187628840430977213471026380040924428525185129404776663858275457259418943488 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -66000000000000000257009209421191442222580508251387333998089218634024251935002622959185580016212806571952976225162493952 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 7499999999999999922947709071278468579477907817160177873317878060820047904108322473497819184267187628840430977213471026380040924428525185129404776663858275457259418943488 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 y #s(literal -66000000000000000257009209421191442222580508251387333998089218634024251935002622959185580016212806571952976225162493952 binary64)) (not (<=.f64 y #s(literal 7499999999999999922947709071278468579477907817160177873317878060820047904108322473497819184267187628840430977213471026380040924428525185129404776663858275457259418943488 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))))
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(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000 binary64)) #s(approx (/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (*.f64 (/.f64 #s(literal 4 binary64) z) x))))
(if (or (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000 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 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (.f64 (/.f64 #s(literal 4 binary64) z) x)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness1.0s (15.2%)

Memory

-33.4MiB live, 432.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	474	33
3	6858	33
0	8009	30
0	496	2085
1	1529	2005
2	4643	1929
0	8544	1783
0	30	150
0	44	150
1	167	140
2	1185	140
0	8512	140
0	127	380
1	390	379
2	1150	359
3	3369	315
0	8438	285

Stop Event

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

Compiler

Compiled 526 to 223 computations (57.6% saved)

preprocess107.0ms (1.6%)

Memory: 9.1MiB live, 83.4MiB allocated
Compiler: Compiled 836 to 194 computations (76.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze54.0ms (0.8%)

sample938.0ms (13.9%)

explain130.0ms (1.9%)

preprocess225.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify202.0ms (3%)

localize48.0ms (0.7%)

series11.0ms (0.2%)

simplify141.0ms (2.1%)

rewrite218.0ms (3.2%)

eval70.0ms (1%)

prune44.0ms (0.7%)

simplify204.0ms (3%)

localize132.0ms (2%)

series34.0ms (0.5%)

simplify174.0ms (2.6%)

rewrite161.0ms (2.4%)

eval124.0ms (1.8%)

prune38.0ms (0.6%)

simplify272.0ms (4%)

localize274.0ms (4.1%)

series30.0ms (0.4%)

simplify383.0ms (5.7%)

rewrite199.0ms (2.9%)

eval79.0ms (1.2%)

prune38.0ms (0.6%)

simplify224.0ms (3.3%)

localize117.0ms (1.7%)

series173.0ms (2.6%)

simplify221.0ms (3.3%)

rewrite215.0ms (3.2%)

eval54.0ms (0.8%)

prune30.0ms (0.5%)

regimes37.0ms (0.6%)

regimes22.0ms (0.3%)

regimes8.0ms (0.1%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch150.0ms (2.2%)

bsearch35.0ms (0.5%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify70.0ms (1%)

soundness1.0s (15.2%)

preprocess107.0ms (1.6%)

end0.0ms (0%)

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