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

start0.0ms (0%)

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

analyze52.0ms (0.8%)

Memory

22.5MiB live, 65.7MiB allocated; 10ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample1.1s (16.7%)

Memory

7.6MiB live, 1 615.9MiB allocated; 299ms collecting garbage

Samples

644.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

ival-mult: 156.0ms (35.9% of total)

ival-add: 102.0ms (23.5% of total)

ival-sub: 96.0ms (22.1% of total)

ival-div: 59.0ms (13.6% of total)

exact: 10.0ms (2.3% of total)

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

ival-assert: 4.0ms (0.9% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain156.0ms (2.4%)

Memory

-10.3MiB live, 230.3MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

73.0ms

512×

valid

Compiler

Compiled 125 to 40 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 27.0ms (63.2% of total)

ival-div: 7.0ms (16.4% of total)

ival-add: 5.0ms (11.7% of total)

ival-sub: 2.0ms (4.7% of total)

exact: 1.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess178.0ms (2.7%)

Memory

6.9MiB live, 211.4MiB allocated; 37ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.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)

simplify94.0ms (1.4%)

Memory

0.8MiB live, 139.5MiB allocated; 7ms collecting garbage

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

localize226.0ms (3.5%)

Memory

-15.2MiB live, 83.9MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 1/4 binary64))
accuracy	0.0	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy	0.0234375	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

218.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (32.9% of total)

ival-div: 2.0ms (21.9% of total)

ival-add: 2.0ms (21.9% of total)

ival-sub: 1.0ms (11% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Counts

5 → 47

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 y #s(literal 1/4 binary64))

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

Calls

9 calls:

Time	Variable		Point	Expression
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) (* y 1/4))
1.0ms	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) (* y 1/4))
1.0ms	y	@	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) (* y 1/4))
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) (* y 1/4))
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) (* y 1/4))

simplify246.0ms (3.8%)

Memory

0.2MiB live, 144.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	471
1	387	431
2	1189	398
3	4983	390
0	8286	360

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

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

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

rewrite221.0ms (3.4%)

Memory

-2.6MiB live, 229.9MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	18	41
1	71	41
2	561	41
0	8360	36

Stop Event

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

Counts

5 → 213

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 y #s(literal 1/4 binary64))

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

eval67.0ms (1%)

Memory: 15.0MiB live, 59.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 135 to 1 115 computations (86.3% saved)

prune29.0ms (0.4%)

Memory

-11.3MiB live, 32.7MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	234	10	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	235	10	245

Accuracy

100.0%

Counts

245 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 4 binary64))))
	52.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) y)))
	41.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal -4 binary64) z)) y))
▶	80.2%	(+.f64 #s(literal 1 binary64) #s(approx (/ (* 4 (- (+ x (* y 1/4)) z)) y) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z)))
▶	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)))
	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
▶	66.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	34.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
	35.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	34.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 396 to 324 computations (18.2% saved)

simplify141.0ms (2.2%)

Memory

3.0MiB live, 155.8MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y)
cost-diff	0	#s(approx (/ (* 4 (- (+ x (* y 1/4)) z)) y) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z))
cost-diff	0	(+.f64 #s(literal 1 binary64) #s(approx (/ (* 4 (- (+ x (* y 1/4)) z)) y) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z)))
cost-diff	4	(*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z)
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	31	225
0	44	225
1	80	225
2	145	225
3	317	225
4	868	201
5	2552	192
6	5557	192
0	8053	187

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

localize201.0ms (3.1%)

Memory

14.9MiB live, 184.9MiB allocated; 35ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal 4 binary64) x y) z)
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) #s(approx (/ (* 4 (- (+ x (* y 1/4)) z)) y) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z)))
accuracy	5.249671569858323	(*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z)
accuracy	7.383215431408079	(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y)
accuracy	0.0	(-.f64 x z)
accuracy	0.0	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	21.444823544765423	#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	0.00390625	(*.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy	41.92349092998969	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy	41.770701660985786	#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	0.00390625	(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy	0.015625	(/.f64 (-.f64 x z) y)

Samples

179.0ms

256×

valid

Compiler

Compiled 182 to 28 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-div: 130.0ms (86.4% of total)

ival-mult: 11.0ms (7.3% of total)

ival-add: 6.0ms (4% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

adjust: 0.0ms (0% of total)

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

series54.0ms (0.8%)

Memory

-34.7MiB live, 74.7MiB allocated; 35ms collecting garbage

Counts

15 → 83

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	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) (* (/ (+ (/ (+ (* 4 x) y) z) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (/ (+ (/ (+ (* 4 x) y) z) -4) y) (/ (+ (* 4 x) y) z))
6.0ms	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) (* (/ (+ (/ (+ (* 4 x) y) z) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (/ (+ (/ (+ (* 4 x) y) z) -4) y) (/ (+ (* 4 x) y) z))
3.0ms	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) (* (/ (+ (/ (+ (* 4 x) y) z) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (/ (+ (/ (+ (* 4 x) y) z) -4) y) (/ (+ (* 4 x) y) z))
3.0ms	x	@	0	((+ 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) (* (/ (+ (/ (+ (* 4 x) y) z) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (/ (+ (/ (+ (* 4 x) y) z) -4) y) (/ (+ (* 4 x) y) z))
3.0ms	y	@	0	((+ 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) (* (/ (+ (/ (+ (* 4 x) y) z) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (/ (+ (/ (+ (* 4 x) y) z) -4) y) (/ (+ (* 4 x) y) z))

simplify240.0ms (3.7%)

Memory

52.1MiB live, 269.4MiB allocated; 96ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	895
1	704	792
2	2301	735
0	8201	683

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

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

rewrite417.0ms (6.4%)

Memory

-15.6MiB live, 383.6MiB allocated; 167ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	186
0	44	186
1	186	186
2	1337	186
0	8243	176

Stop Event

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

Counts

15 → 249

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

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

eval114.0ms (1.8%)

Memory: -31.4MiB live, 115.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 16 291 to 1 704 computations (89.5% saved)

prune11.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	357	5	362
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	362	10	372

Accuracy

100.0%

Counts

372 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
✓	66.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
	42.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) y)) #s(literal 4 binary64)))
✓	34.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
▶	35.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	63.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
▶	69.0%	#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))))
	56.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)))
▶	35.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))
✓	34.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 415 to 321 computations (22.7% saved)

simplify182.0ms (2.8%)

Memory

7.4MiB live, 144.2MiB allocated; 11ms collecting garbage

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 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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	222
0	46	216
1	76	216
2	127	216
3	240	216
4	515	196
5	1148	196
6	1551	196
7	2421	196
8	3290	196
9	3830	196
10	4361	196
11	5621	196
12	7593	196
0	8038	189

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

localize91.0ms (1.4%)

Memory

-16.4MiB live, 174.8MiB allocated; 14ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
accuracy	1.5078083716604118	(-.f64 (/.f64 x y) (/.f64 z y))
accuracy	21.444823544765423	#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	0.1171875	(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy	21.11655467114117	#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	0.22265625	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	41.00152337204635	#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	0.010097509768442016	(*.f64 (/.f64 z y) #s(literal -4 binary64))
accuracy	21.444823544765423	#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	29.764640897867835	#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 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	19.84300589107405	#s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))

Samples

73.0ms

256×

valid

Compiler

Compiled 159 to 31 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 12.0ms (32.8% of total)

ival-mult: 12.0ms (32.8% of total)

ival-add: 9.0ms (24.6% of total)

ival-sub: 3.0ms (8.2% of total)

exact: 1.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

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

series50.0ms (0.8%)

Memory

-3.1MiB live, 48.0MiB allocated; 40ms collecting garbage

Counts

17 → 46

Calls

Call 1

Inputs
#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)) #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))
#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 #s(literal 4 binary64) y)
(-.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))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x 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 (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 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 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -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)
(/ (+ (* -4 z) (* 2 y)) y)
(/ z y)
(/ -4 y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ 4 y)
(/ (- x z) y)
(+ 2 (* 4 (/ (- x z) y)))
(* -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))))
(+ (* -1 (/ z y)) (/ x 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 (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* 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 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 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
35.0ms	y	@	-inf	((+ 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)) (* (/ (- x z) y) 4) (* (/ z y) -4) (+ 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) (/ 4 y) (- (/ 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 (- (+ 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)) (* (/ (- x z) y) 4) (* (/ z y) -4) (+ 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) (/ 4 y) (- (/ 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 (- (+ 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)) (* (/ (- x z) y) 4) (* (/ z y) -4) (+ 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) (/ 4 y) (- (/ 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 (- (+ 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)) (* (/ (- x z) y) 4) (* (/ z y) -4) (+ 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) (/ 4 y) (- (/ 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 (- (+ 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)) (* (/ (- x z) y) 4) (* (/ z y) -4) (+ 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) (/ 4 y) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))

simplify182.0ms (2.8%)

Memory

12.1MiB live, 235.1MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	449
1	453	413
2	1496	369
3	5351	365
0	8240	340

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

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

rewrite213.0ms (3.3%)

Memory

33.8MiB live, 255.9MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	198
0	46	192
1	184	192
2	1338	192
0	8289	180

Stop Event

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

Counts

17 → 211

Calls

Call 1

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

eval35.0ms (0.5%)

Memory: -40.8MiB live, 65.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 8 770 to 987 computations (88.7% saved)

prune9.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	233	10	243

Accuracy

100.0%

Counts

243 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
✓	66.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	42.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) y)) #s(literal 4 binary64)))
✓	34.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
✓	35.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	63.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
✓	69.0%	#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))))
▶	56.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)))
✓	35.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))
✓	34.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 235 to 184 computations (21.7% saved)

simplify127.0ms (1.9%)

Memory

-3.0MiB live, 129.1MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	40	161
1	81	139
2	209	137
3	555	137
4	2207	129
0	9003	127

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

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

localize135.0ms (2.1%)

Memory

16.5MiB live, 157.9MiB allocated; 77ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 z x) (-.f64 x z))
accuracy	0.015625	(*.f64 (+.f64 z x) y)
accuracy	21.444823544765423	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) y)) #s(literal 4 binary64)))
accuracy	24.551763603559863	(/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 (+.f64 z x) y))
accuracy	0.08984375	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64))
accuracy	1.9295800545169122	(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y)
accuracy	5.257484069858323	(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)
accuracy	21.444823544765423	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)))

Samples

115.0ms

256×

valid

Compiler

Compiled 120 to 28 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-add: 55.0ms (53.7% of total)

ival-mult: 35.0ms (34.2% of total)

ival-div: 8.0ms (7.8% of total)

ival-sub: 3.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

-5.6MiB live, 38.2MiB allocated; 20ms collecting garbage

Counts

10 → 62

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (/ (+ (* (/ 4 z) x) -4) y) (/ (* (+ z x) (- x z)) (* (+ z x) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (* (+ z x) (- x z)) (* (+ z x) y)) 4) (* (+ z x) (- x z)) (+ (* (/ 4 z) x) -4) (* (+ z x) y))
3.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (/ (+ (* (/ 4 z) x) -4) y) (/ (* (+ z x) (- x z)) (* (+ z x) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (* (+ z x) (- x z)) (* (+ z x) y)) 4) (* (+ z x) (- x z)) (+ (* (/ 4 z) x) -4) (* (+ z x) y))
2.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (/ (+ (* (/ 4 z) x) -4) y) (/ (* (+ z x) (- x z)) (* (+ z x) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (* (+ z x) (- x z)) (* (+ z x) y)) 4) (* (+ z x) (- x z)) (+ (* (/ 4 z) x) -4) (* (+ z x) y))
2.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (/ (+ (* (/ 4 z) x) -4) y) (/ (* (+ z x) (- x z)) (* (+ z x) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (* (+ z x) (- x z)) (* (+ z x) y)) 4) (* (+ z x) (- x z)) (+ (* (/ 4 z) x) -4) (* (+ z x) y))
2.0ms	x	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (/ (+ (* (/ 4 z) x) -4) y) (/ (* (+ z x) (- x z)) (* (+ z x) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (* (+ z x) (- x z)) (* (+ z x) y)) 4) (* (+ z x) (- x z)) (+ (* (/ 4 z) x) -4) (* (+ z x) y))

simplify125.0ms (1.9%)

Memory

21.4MiB live, 166.5MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	568
1	671	498
2	2286	466
0	8423	442

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

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

rewrite415.0ms (6.4%)

Memory

-6.1MiB live, 218.6MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	143
0	40	143
1	161	119
2	1181	119
0	8442	115

Stop Event

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

Counts

10 → 350

Calls

Call 1

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

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

eval280.0ms (4.3%)

Memory: -14.7MiB live, 130.5MiB allocated; 36ms collecting garbage
Compiler: Compiled 15 226 to 1 942 computations (87.2% saved)

prune12.0ms (0.2%)

Memory

41.9MiB live, 41.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	383	1	384
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	384	10	394

Accuracy

100.0%

Counts

394 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
✓	66.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
	20.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(approx ( (+ z x) (- x z)) (.f64 x x)) (.f64 (+.f64 z x) y)) #s(literal 4 binary64)))
✓	34.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
✓	35.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	63.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
✓	69.0%	#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))))
✓	56.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)))
✓	35.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))))
✓	34.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 624 to 286 computations (54.2% saved)

regimes48.0ms (0.7%)

Memory

-50.8MiB live, 59.0MiB allocated; 39ms collecting garbage

Counts

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

Calls

5 calls:

23.0ms	(/.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
4.0ms	(+.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
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)

regimes15.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Counts

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

Calls

5 calls:

3.0ms	y
3.0ms	z
3.0ms	x
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
99.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
99.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
89.5%	3	`x`
88.4%	3	`y`
89.5%	4	`z`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

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 (/.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 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) x #s(literal 2 binary64)))

Outputs

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

Calls

3 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
89.5%	3	`x`
73.0%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
73.0%	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 25 to 25 computations (0% saved)

regimes36.0ms (0.5%)

Memory

-33.1MiB live, 11.6MiB allocated; 11ms collecting garbage

Counts

5 → 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 (/.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 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:

31.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
69.0%	1	`z`
72.6%	3	`y`
83.9%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes10.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

4 → 5

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

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
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
59.7%	5	`z`
60.7%	4	`y`
71.6%	5	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
71.6%	5	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
60.3%	4	`x`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes3.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
67.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
67.6%	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)

regimes23.0ms (0.4%)

Memory

-20.4MiB live, 25.4MiB allocated; 8ms collecting garbage

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:

19.0ms	(+.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)
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
34.7%	1	`z`
34.7%	1	`x`
34.7%	1	`y`
34.7%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
34.7%	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

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	114907369.99885648	2729432529354785.5
0.0ms	-54801299.44721126	1.9986748340059588

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch25.0ms (0.4%)

Memory

17.0MiB live, 61.9MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1192321212983157e-38	2.0815910012437893e-38
15.0ms	-1.3472393114793851e+77	-1.7808343595309483e+75

Samples

14.0ms

176×

valid

Compiler

Compiled 566 to 480 computations (15.2% saved)

Precisions

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

ival-mult: 5.0ms (52.7% of total)

ival-add: 2.0ms (21.1% of total)

ival-sub: 1.0ms (10.5% of total)

ival-div: 1.0ms (10.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.5%)

Memory

-5.2MiB live, 96.2MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.729353302247014e+187	4.279078553467388e+189
17.0ms	-2.2143165613555094e+161	-2.477299364030146e+159

Samples

15.0ms

224×

valid

Compiler

Compiled 702 to 592 computations (15.7% saved)

Precisions

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

ival-mult: 3.0ms (33.7% of total)

ival-div: 2.0ms (22.5% of total)

ival-add: 2.0ms (22.5% of total)

ival-sub: 1.0ms (11.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.250694673004416e+255	8.772093865296796e+259
0.0ms	2.0000010871389073	239.25419584558827
0.0ms	-54801299.44721126	1.9986748340059588
0.0ms	-1.0247463506317445e+199	-2.1534878695893146e+197

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0000010871389073	239.25419584558827
0.0ms	-54801299.44721126	1.9986748340059588

Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify64.0ms (1%)

Memory

-9.7MiB live, 85.0MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	73	484
1	109	484
2	149	484
3	242	484
4	518	484
5	1131	454
6	1787	454
7	3186	454
8	6849	454

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 -50000000 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 200000000 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 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -5799999999999999694451084143015224421998215573744108935288573768435564019712 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 490877477933605/23945242826029513411849172299223580994042798784118784 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 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -13999999999999999779222853399355948657679576029124143390968568097231601403057757636977298632007851838112269151912848983288557052567298652953860800181785063325696 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 279999999999999981733025417444950627650102600993756793607423171762171821703942543592690792469839496079378961798407901815280630630064110646788784889987912255244753290615741189991833452675072 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 (+.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 -10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 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 -50000000 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)) (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 10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 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 (/.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 -50000000 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 -50000000 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 200000000 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 (-.f64 x z) y) #s(literal 4 binary64)))))
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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 -50000000 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))

derivations702.0ms (10.8%)

Memory

-51.5MiB live, 465.6MiB allocated; 158ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	895
1	704	792
2	2301	735
0	8201	683
0	120	471
1	387	431
2	1189	398
3	4983	390
0	8286	360

Stop Event

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

Compiler

Compiled 484 to 81 computations (83.3% saved)

preprocess121.0ms (1.9%)

Memory: 5.5MiB live, 98.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 994 to 186 computations (81.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze52.0ms (0.8%)

sample1.1s (16.7%)

explain156.0ms (2.4%)

preprocess178.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify94.0ms (1.4%)

localize226.0ms (3.5%)

series11.0ms (0.2%)

simplify246.0ms (3.8%)

rewrite221.0ms (3.4%)

eval67.0ms (1%)

prune29.0ms (0.4%)

simplify141.0ms (2.2%)

localize201.0ms (3.1%)

series54.0ms (0.8%)

simplify240.0ms (3.7%)

rewrite417.0ms (6.4%)

eval114.0ms (1.8%)

prune11.0ms (0.2%)

simplify182.0ms (2.8%)

localize91.0ms (1.4%)

series50.0ms (0.8%)

simplify182.0ms (2.8%)

rewrite213.0ms (3.3%)

eval35.0ms (0.5%)

prune9.0ms (0.1%)

simplify127.0ms (1.9%)

localize135.0ms (2.1%)

series28.0ms (0.4%)

simplify125.0ms (1.9%)

rewrite415.0ms (6.4%)

eval280.0ms (4.3%)

prune12.0ms (0.2%)

regimes48.0ms (0.7%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes36.0ms (0.5%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes23.0ms (0.4%)

bsearch1.0ms (0%)

bsearch25.0ms (0.4%)

bsearch34.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify64.0ms (1%)

derivations702.0ms (10.8%)

preprocess121.0ms (1.9%)

end0.0ms (0%)

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