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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze275.0ms (3.4%)

Memory

-16.3MiB live, 73.0MiB 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
50%	49.9%	49.9%	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
75%	74.9%	25%	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
87.5%	87.4%	12.5%	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
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.3s (16.3%)

Memory

43.9MiB live, 1 508.2MiB allocated

Samples

874.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-add: 281.0ms (49% of total)

ival-mult: 160.0ms (27.9% of total)

ival-div: 64.0ms (11.2% of total)

ival-sub: 46.0ms (8% of total)

exact: 11.0ms (1.9% of total)

ival-true: 7.0ms (1.2% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain138.0ms (1.7%)

Memory

-18.3MiB live, 221.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 125 to 40 computations (68% saved)

Precisions

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

ival-add: 9.0ms (39% of total)

ival-mult: 7.0ms (30.4% of total)

ival-div: 4.0ms (17.4% of total)

ival-sub: 2.0ms (8.7% of total)

exact: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess142.0ms (1.8%)

Memory

27.3MiB live, 211.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	127
1	116	121
2	303	121
3	838	121
4	2406	85
5	5687	81
0	12	13
0	18	13
1	31	13
2	64	13
3	138	13
4	353	9
5	1035	9
6	2495	9
7	6206	9
0	8097	8

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify139.0ms (1.7%)

Memory

-20.4MiB live, 141.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	18	54
1	31	54
2	64	54
3	138	54
4	353	46
5	1035	46
6	2495	46
7	6206	46
0	8097	41

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (0.5%)

Memory

5.1MiB live, 98.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
accuracy	0.00390625	(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
accuracy	0.015625	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy	0.4924278510171052	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

36.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 12.0ms (66% of total)

ival-add: 3.0ms (16.5% of total)

ival-div: 2.0ms (11% of total)

ival-sub: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-15.0MiB live, 28.4MiB allocated

Counts

5 → 58

Calls

Call 1

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

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

Calls

9 calls:

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

simplify224.0ms (2.8%)

Memory

39.4MiB live, 222.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	563
1	463	508
2	1428	483
3	6257	472
0	8133	429

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

Calls

Call 1

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

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

rewrite676.0ms (8.4%)

Memory

-33.7MiB live, 346.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	18	45
1	71	45
2	561	45
0	8360	39

Stop Event

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

Counts

5 → 269

Calls

Call 1

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

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

eval46.0ms (0.6%)

Memory: 38.1MiB live, 84.4MiB allocated
Compiler: Compiled 10 671 to 1 492 computations (86% saved)

prune23.0ms (0.3%)

Memory

-14.6MiB live, 29.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	301	10	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	10	312

Accuracy

100.0%

Counts

312 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
▶	67.5%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 #s(literal -4 binary64) z y)) y))
	44.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal -4 binary64) z)) y))
▶	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
	80.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z y) x) #s(literal 4 binary64)) y) x #s(literal 1 binary64)))
	64.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
▶	71.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	37.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
	40.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	28.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 378 to 318 computations (15.9% saved)

simplify202.0ms (2.5%)

Memory

2.5MiB live, 145.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	185
0	38	185
1	64	185
2	109	185
3	194	185
4	425	159
5	1095	159
6	1585	159
7	2521	159
8	3581	159
9	4145	159
10	4811	159
11	6715	159
0	8032	156

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (2%)

Memory

-12.5MiB live, 130.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -4 binary64) z y)
accuracy	0.015625	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 #s(literal -4 binary64) z y)) y))
accuracy	0.4924278510171052	(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 #s(literal -4 binary64) z y)) y)
accuracy	21.01218777073564	#s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 #s(literal -4 binary64) z y))
accuracy	0.0	(-.f64 x z)
accuracy	0.012382519536884034	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	0.01953125	(/.f64 (-.f64 x z) y)
accuracy	18.328511875282288	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy	40.345103493989214	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy	45.5927299799943	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy	0.0	(-.f64 x z)
accuracy	0.0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy	0.0078125	(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 (-.f64 x z) y)

Samples

114.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 149 to 24 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.2% of total)

ival-div: 5.0ms (23.3% of total)

ival-add: 5.0ms (23.3% of total)

ival-sub: 2.0ms (9.3% of total)

exact: 1.0ms (4.7% of total)

adjust: 0.0ms (0% of total)

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

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

series51.0ms (0.6%)

Memory

-4.8MiB live, 40.6MiB allocated

Counts

14 → 73

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	z	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (+ (* -4 z) y))
2.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (+ (* -4 z) y))
2.0ms	x	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (+ (* -4 z) y))
2.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (+ (* -4 z) y))
2.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (+ (* -4 z) y))

simplify258.0ms (3.2%)

Memory

7.6MiB live, 239.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	730
1	630	658
2	2078	587
0	8390	540

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 71

Calls

Call 1

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

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

rewrite242.0ms (3%)

Memory

54.9MiB live, 328.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	38	160
1	153	160
2	1119	160
0	8295	149

Stop Event

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

Counts

14 → 189

Calls

Call 1

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

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
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(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 z z) (.f64 y (-.f64 y (.f64 #s(literal -4 binary64) z))))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 z z) (.f64 y (-.f64 y (*.f64 #s(literal -4 binary64) z))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 z z) (.f64 y (-.f64 y (.f64 #s(literal -4 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 z z) (.f64 y (-.f64 y (*.f64 #s(literal -4 binary64) z))))))
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(+.f64 (*.f64 #s(literal -4 binary64) z) y)
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eval62.0ms (0.8%)

Memory: -27.7MiB live, 61.3MiB allocated
Compiler: Compiled 12 079 to 1 152 computations (90.5% saved)

prune11.0ms (0.1%)

Memory

32.1MiB live, 32.1MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	288	6	294
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	291	13	304

Accuracy

100.0%

Counts

304 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
✓	67.5%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 #s(literal -4 binary64) z y)) y))
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
▶	64.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
✓	37.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
▶	40.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	69.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
	71.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
	36.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y)))
	67.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))))
	58.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) z)))
▶	40.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))
✓	28.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 478 to 383 computations (19.9% saved)

simplify170.0ms (2.1%)

Memory

-7.4MiB live, 231.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	193
0	49	179
1	85	179
2	146	179
3	332	169
4	791	169
5	1920	169
6	5447	169
0	8295	164

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1.1%)

Memory

2.1MiB live, 131.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.012382519536884034	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
accuracy	0.9570250574906174	(-.f64 (/.f64 x y) (/.f64 z y))
accuracy	18.328511875282288	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.109375	(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy	22.841661408982947	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
accuracy	0.0	(/.f64 #s(literal -4 binary64) y)
accuracy	0.19921875	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	38.3312609954573	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
accuracy	0.0	(/.f64 z y)
accuracy	0.01857377930532605	(*.f64 (/.f64 z y) #s(literal -4 binary64))
accuracy	18.328511875282288	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))
accuracy	27.924615238396544	#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/4 binary64) y x)
accuracy	0.0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.00390625	(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
accuracy	0.15234375	(fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))

Samples

64.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 157 to 34 computations (78.3% saved)

Precisions

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

ival-div: 21.0ms (44.4% of total)

ival-mult: 14.0ms (29.6% of total)

ival-add: 6.0ms (12.7% of total)

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

exact: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

series102.0ms (1.3%)

Memory

-30.2MiB live, 74.8MiB allocated

Counts

17 → 55

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
68.0ms	y	@	-inf	((+ (* (- (+ (* 1/4 y) x) z) (/ 4 y)) 1) (- (+ (* 1/4 y) x) z) (+ (* 1/4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
22.0ms	z	@	-inf	((+ (* (- (+ (* 1/4 y) x) z) (/ 4 y)) 1) (- (+ (* 1/4 y) x) z) (+ (* 1/4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
2.0ms	y	@	0	((+ (* (- (+ (* 1/4 y) x) z) (/ 4 y)) 1) (- (+ (* 1/4 y) x) z) (+ (* 1/4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
2.0ms	y	@	inf	((+ (* (- (+ (* 1/4 y) x) z) (/ 4 y)) 1) (- (+ (* 1/4 y) x) z) (+ (* 1/4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
2.0ms	z	@	inf	((+ (* (- (+ (* 1/4 y) x) z) (/ 4 y)) 1) (- (+ (* 1/4 y) x) z) (+ (* 1/4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))

simplify162.0ms (2%)

Memory

33.7MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	468
1	486	441
2	1516	406
3	5655	402
0	8551	373

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

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

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

rewrite573.0ms (7.2%)

Memory

17.8MiB live, 204.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	167
0	49	153
1	216	153
2	1415	153
0	8353	153

Stop Event

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

Counts

17 → 282

Calls

Call 1

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

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

eval56.0ms (0.7%)

Memory: -2.5MiB live, 85.4MiB allocated
Compiler: Compiled 10 356 to 1 251 computations (87.9% saved)

prune18.0ms (0.2%)

Memory

-24.4MiB live, 34.0MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	313	1	314
Fresh	0	4	4
Picked	1	4	5
Done	1	3	4
Total	315	12	327

Accuracy

100.0%

Counts

327 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
✓	67.5%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 #s(literal -4 binary64) z y)) y))
▶	64.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
✓	37.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
✓	40.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	69.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
▶	71.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
▶	36.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y)))
▶	67.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))))
▶	58.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) z)))
✓	40.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))
✓	28.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 376 to 301 computations (19.9% saved)

simplify277.0ms (3.5%)

Memory

-11.9MiB live, 286.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	242
0	52	239
1	93	239
2	171	239
3	352	239
4	804	219
5	1917	213
6	4678	213
7	6042	213
8	7556	213
0	8172	206

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.3%)

Memory

6.7MiB live, 202.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) z))
accuracy	3.340275401691096	(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y)
accuracy	6.063249895716747	(*.f64 (/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) z)
accuracy	18.328511875282288	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) z)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0078125	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
accuracy	22.841661408982947	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy	0.0	(/.f64 z y)
accuracy	0.0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))))
accuracy	20.797201650358613	#s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.203125	(*.f64 x (/.f64 #s(literal 4 binary64) y))
accuracy	40.345103493989214	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y)))
accuracy	0.0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.0	(-.f64 x z)
accuracy	0.19921875	(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
accuracy	18.328511875282288	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))

Samples

78.0ms

256×

valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

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

ival-div: 14.0ms (36.2% of total)

ival-mult: 14.0ms (36.2% of total)

ival-add: 7.0ms (18.1% of total)

ival-sub: 2.0ms (5.2% of total)

exact: 1.0ms (2.6% of total)

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

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

series30.0ms (0.4%)

Memory

-16.5MiB live, 78.8MiB allocated

Counts

17 → 51

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- x z) (/ 4 y)) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* 4 (/ x y)) 2) (/ x y) (* (/ (+ (* (/ x z) 4) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ x z) 4) -4) y))
6.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- x z) (/ 4 y)) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* 4 (/ x y)) 2) (/ x y) (* (/ (+ (* (/ x z) 4) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ x z) 4) -4) y))
3.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- x z) (/ 4 y)) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* 4 (/ x y)) 2) (/ x y) (* (/ (+ (* (/ x z) 4) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ x z) 4) -4) y))
3.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- x z) (/ 4 y)) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* 4 (/ x y)) 2) (/ x y) (* (/ (+ (* (/ x z) 4) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ x z) 4) -4) y))
3.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- x z) (/ 4 y)) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* 4 (/ x y)) 2) (/ x y) (* (/ (+ (* (/ x z) 4) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ x z) 4) -4) y))

simplify168.0ms (2.1%)

Memory

33.6MiB live, 223.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	493
1	481	452
2	1553	407
3	5707	407
0	8298	379

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

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

rewrite353.0ms (4.4%)

Memory

-34.6MiB live, 350.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	210
0	52	210
1	199	210
2	1427	210
0	8248	198

Stop Event

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

Counts

17 → 223

Calls

Call 1

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

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

eval34.0ms (0.4%)

Memory: 43.5MiB live, 84.7MiB allocated
Compiler: Compiled 10 304 to 1 184 computations (88.5% saved)

prune15.0ms (0.2%)

Memory

-2.5MiB live, 40.7MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	257	1	258
Fresh	0	0	0
Picked	1	4	5
Done	1	6	7
Total	259	11	270

Accuracy

100.0%

Counts

270 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
✓	64.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
✓	37.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
✓	40.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	69.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
✓	71.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
✓	36.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y)))
	67.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))))
✓	58.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) z)))
✓	40.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))
✓	28.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 640 to 275 computations (57% saved)

regimes57.0ms (0.7%)

Memory

-28.7MiB live, 74.7MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
9.0ms	z
5.0ms	y
5.0ms	x
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Results

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

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes39.0ms (0.5%)

Memory

9.4MiB live, 54.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

23.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
4.0ms	y
4.0ms	z
4.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
98.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
98.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
85.4%	3	`x`
88.2%	3	`y`
90.8%	4	`z`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes9.0ms (0.1%)

Memory

-13.1MiB live, 30.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.1%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
98.1%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes10.0ms (0.1%)

Memory

44.0MiB live, 44.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
88.6%	3	`z`
67.5%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
67.5%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`

Compiler

Compiled 25 to 25 computations (0% saved)

regimes11.0ms (0.1%)

Memory

-25.3MiB live, 20.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
78.9%	3	`x`
73.3%	3	`y`
71.0%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.8%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory

-28.6MiB live, 26.8MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
67.7%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
67.7%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
66.2%	6	`z`
61.7%	5	`y`
56.8%	3	`x`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes4.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
67.7%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
67.7%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

1.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
65.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
65.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
28.8%	1	`x`
28.8%	1	`y`
28.8%	1	`z`
28.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
28.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0013586509774903	6.119309337539001
0.0ms	-33718.020541704966	-1.6594587165572445

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0013586509774903	6.119309337539001
0.0ms	-33718.020541704966	-1.6594587165572445

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch81.0ms (1%)

Memory

-21.4MiB live, 71.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	5.534221871111235e+63	1.6139119698752086e+82
38.0ms	-3.27128061945911e-17	-6.159914161598239e-20

Samples

65.0ms

288×

valid

Compiler

Compiled 916 to 774 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 29.0ms (80.7% of total)

ival-add: 3.0ms (8.3% of total)

ival-div: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch63.0ms (0.8%)

Memory

9.5MiB live, 116.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	3.067718769906471e+161	1.6429035883119097e+163
16.0ms	-1.6487193540012945e+171	-2.9537378839550285e+167

Samples

47.0ms

240×

valid

Compiler

Compiled 751 to 633 computations (15.7% saved)

Precisions

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

ival-sub: 11.0ms (57.5% of total)

ival-mult: 3.0ms (15.7% of total)

ival-div: 2.0ms (10.5% of total)

ival-add: 2.0ms (10.5% of total)

exact: 1.0ms (5.2% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-35.7MiB live, 11.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.067718769906471e+161	1.6429035883119097e+163
1.0ms	-1.6487193540012945e+171	-2.9537378839550285e+167

Compiler

Compiled 751 to 633 computations (15.7% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3033787675913091e+112	3.7441922879441927e+112
0.0ms	21980765481.161873	6741832552596.878
0.0ms	-1.6594587165572445	1.9263412574016527

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3033787675913091e+112	3.7441922879441927e+112
0.0ms	21980765481.161873	6741832552596.878
0.0ms	-1.6594587165572445	1.9263412574016527

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0013586509774903	6.119309337539001
0.0ms	-1.6594587165572445	1.9263412574016527

Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify87.0ms (1.1%)

Memory

20.2MiB live, 110.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	87	707
1	124	707
2	163	707
3	256	707
4	532	707
5	1142	663
6	1797	663
7	3203	663
8	6869	663

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 z #s(literal -2515018790852807/81129638414606681695789005144064 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) (if (<=.f64 z #s(literal 64999999999999995136446234387594918460625416937591529491564146458624 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -300000000000000011582698286225854320838206154474051316863271488705732173049478228010592175263629511030667252708589465091173981868610125526469500392120891897202180358144 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 2599999999999999998243368835281435659509143579951431616305110725845506157082985339300457319678511708590412423867713877191413443860181580519920128573384241325277184 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -300000000000000011582698286225854320838206154474051316863271488705732173049478228010592175263629511030667252708589465091173981868610125526469500392120891897202180358144 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 2599999999999999998243368835281435659509143579951431616305110725845506157082985339300457319678511708590412423867713877191413443860181580519920128573384241325277184 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -1 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -1 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 x (/.f64 #s(literal 4 binary64) y))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -1 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (or (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -20000 binary64)) (not (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))))
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(if (or (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -1 binary64)) (not (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (.f64 (/.f64 z y) #s(literal -4 binary64)))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness1.3s (16.2%)

Memory

10.6MiB live, 873.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	730
1	630	658
2	2078	587
0	8390	540
0	34	167
0	49	153
1	216	153
2	1415	153
0	8353	153
0	28	160
0	38	160
1	153	160
2	1119	160
0	8295	149
0	147	563
1	463	508
2	1428	483
3	6257	472
0	8133	429
0	151	493
1	481	452
2	1553	407
3	5707	407
0	8298	379

Stop Event

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

Compiler

Compiled 884 to 305 computations (65.5% saved)

preprocess147.0ms (1.8%)

Memory: -21.3MiB live, 166.6MiB allocated
Compiler: Compiled 1 440 to 208 computations (85.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze275.0ms (3.4%)

sample1.3s (16.3%)

explain138.0ms (1.7%)

preprocess142.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify139.0ms (1.7%)

localize43.0ms (0.5%)

series15.0ms (0.2%)

simplify224.0ms (2.8%)

rewrite676.0ms (8.4%)

eval46.0ms (0.6%)

prune23.0ms (0.3%)

simplify202.0ms (2.5%)

localize157.0ms (2%)

series51.0ms (0.6%)

simplify258.0ms (3.2%)

rewrite242.0ms (3%)

eval62.0ms (0.8%)

prune11.0ms (0.1%)

simplify170.0ms (2.1%)

localize88.0ms (1.1%)

series102.0ms (1.3%)

simplify162.0ms (2%)

rewrite573.0ms (7.2%)

eval56.0ms (0.7%)

prune18.0ms (0.2%)

simplify277.0ms (3.5%)

localize107.0ms (1.3%)

series30.0ms (0.4%)

simplify168.0ms (2.1%)

rewrite353.0ms (4.4%)

eval34.0ms (0.4%)

prune15.0ms (0.2%)

regimes57.0ms (0.7%)

regimes39.0ms (0.5%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes15.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch81.0ms (1%)

bsearch63.0ms (0.8%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify87.0ms (1.1%)

soundness1.3s (16.2%)

preprocess147.0ms (1.8%)

end0.0ms (0%)

Profiling