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

analyze165.0ms (1.6%)

Memory

-1.8MiB live, 76.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.7s (16.1%)

Memory

13.1MiB live, 1 433.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 930.0ms

ival-mult: 695.0ms (74.8% of total)

ival-div: 95.0ms (10.2% of total)

ival-add: 85.0ms (9.1% of total)

ival-sub: 36.0ms (3.9% of total)

exact: 10.0ms (1.1% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess432.0ms (4.1%)

Memory

-10.0MiB live, 446.7MiB allocated

Algorithm

2×	egg-herbie

Rules

7 292×	`accelerator-lowering-fma.f32`
7 292×	`accelerator-lowering-fma.f64`
2 920×	`/-lowering-/.f32`
2 920×	`/-lowering-/.f64`
2 674×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	143
1	134	130
2	397	130
3	1129	112
4	3350	94
5	7481	94
0	12	13
1	24	13
2	52	13
3	102	13
4	203	11
5	469	9
6	1465	9
7	4599	9
0	8090	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

explain297.0ms (2.8%)

Memory

12.2MiB live, 208.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions

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

ival-mult: 6.0ms (33.1% of total)

ival-add: 5.0ms (27.6% of total)

ival-div: 4.0ms (22.1% of total)

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

exact: 1.0ms (5.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.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 16 to 12 computations (25% saved)

simplify247.0ms (2.3%)

Memory

12.5MiB live, 329.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
✓	cost-diff	128	(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
✓	cost-diff	320	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))

Rules

7 292×	`accelerator-lowering-fma.f32`
7 292×	`accelerator-lowering-fma.f64`
2 920×	`/-lowering-/.f32`
2 920×	`/-lowering-/.f64`
2 674×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	24	54
2	52	54
3	102	54
4	203	48
5	469	46
6	1465	46
7	4599	46
0	8090	41

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize34.0ms (0.3%)

Memory

-13.7MiB live, 64.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
✓	accuracy	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))
✓	accuracy	99.6%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

22.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (51.5% of total)

ival-div: 2.0ms (17.2% of total)

ival-add: 2.0ms (17.2% of total)

ival-sub: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-15.7MiB live, 22.9MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#<alt (* 4 (- (+ x (* y 1/4)) z))>
#<alt (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))>
#<alt (+ x (* y 1/4))>
#<alt (/ (* 4 (- (+ x (* y 1/4)) z)) y)>
#<alt (* y 1/4)>

Outputs
#<alt (* 4 (- (* 1/4 y) z))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* 4 (- x z))>
#<alt (+ y (* 4 (- x z)))>
#<alt (+ y (* 4 (- x z)))>
#<alt (+ y (* 4 (- x z)))>
#<alt y>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt y>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* 4 (+ x (* 1/4 y)))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* 1/4 y)>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (* 1/4 y)>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* 1/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* 4 (/ (- (* 1/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (+ x (* 1/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms	x	@	0	(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
1.0ms	y	@	inf	(* 4 (- (+ x (* y 1/4)) z))
0.0ms	x	@	0	(* 4 (- (+ x (* y 1/4)) z))
0.0ms	x	@	inf	(* 4 (- (+ x (* y 1/4)) z))

rewrite333.0ms (3.1%)

Memory

20.5MiB live, 573.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 902×	`accelerator-lowering-fma.f32`
6 902×	`accelerator-lowering-fma.f64`
5 372×	`-lowering-.f32`
5 372×	`-lowering-.f64`
3 676×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	68	41
2	623	41
0	8483	36

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 335

Calls

Call 1

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

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

simplify699.0ms (6.6%)

Memory

-28.0MiB live, 637.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 484×	`accelerator-lowering-fma.f32`
16 484×	`accelerator-lowering-fma.f64`
5 278×	`-lowering-.f32`
5 278×	`-lowering-.f64`
2 388×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval266.0ms (2.5%)

Memory: 12.2MiB live, 125.9MiB allocated
Compiler: Compiled 12 417 to 1 392 computations (88.8% saved)

prune93.0ms (0.9%)

Memory

13.8MiB live, 95.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	470	9	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	471	9	480

Accuracy

100.0%

Counts

480 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
▶	72.8%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
	65.8%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
	63.6%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
▶	37.1%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
	99.5%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) y))
▶	99.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
	30.3%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
▶	37.6%	#s(literal 2 binary64)

Compiler

Compiled 182 to 136 computations (25.3% saved)

simplify305.0ms (2.9%)

Memory

-6.2MiB live, 473.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)
✓	cost-diff	0	(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
✓	cost-diff	704	(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) y)
✓	cost-diff	0	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))

Rules

9 130×	`accelerator-lowering-fma.f32`
9 130×	`accelerator-lowering-fma.f64`
3 724×	`-lowering-.f32`
3 724×	`-lowering-.f64`
2 180×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	93
1	42	93
2	74	93
3	190	93
4	361	91
5	629	91
6	1519	91
7	4819	91
0	8336	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize89.0ms (0.8%)

Memory

1.1MiB live, 153.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
✓	accuracy	100.0%	(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
✓	accuracy	99.8%	(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	99.8%	(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))

Samples

66.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 31.0ms (59.7% of total)

ival-add: 10.0ms (19.3% of total)

ival-mult: 5.0ms (9.6% of total)

ival-sub: 4.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

7.1MiB live, 44.8MiB allocated

Counts

11 → 300

Calls

Call 1

Inputs
#<alt (+ (* (- x z) (/ 4 y)) 2)>
#<alt (- x z)>
#<alt (/ 4 y)>
#<alt (/ x (* 1/4 y))>
#<alt (* 1/4 y)>
#<alt (+ (* 4 (/ x y)) 2)>
#<alt (/ x y)>
#<alt (/ 4 (/ y (- (+ (* y 1/4) x) z)))>
#<alt (+ 1 (/ 4 (/ y (- (+ (* y 1/4) x) z))))>
#<alt (/ y (- (+ (* y 1/4) x) z))>
#<alt (- (+ (* y 1/4) x) z)>

Outputs
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (- (* 1/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (+ x (* 1/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (/ y (- x z))>
#<alt (* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt 4>
#<alt (+ 4 (* -16 (/ (- x z) y)))>
#<alt (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y)))>
#<alt (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))>
#<alt 4>
#<alt (+ 4 (* -16 (/ (- x z) y)))>
#<alt (+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y)))>
#<alt (+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y)))>
#<alt (/ y (- (* 1/4 y) z))>
#<alt (+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z)))>
#<alt (+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x))>
#<alt (/ y (+ x (* 1/4 y)))>
#<alt (+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2)))>
#<alt (+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))>
#<alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z))>
#<alt (- x z)>
#<alt (- (+ x (* 1/4 y)) z)>
#<alt (- (+ x (* 1/4 y)) z)>
#<alt (- (+ x (* 1/4 y)) z)>
#<alt (* 1/4 y)>
#<alt (* y (- (+ 1/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1/4 (/ x y)) (/ z y)))>
#<alt (* 1/4 y)>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))>
#<alt (- (* 1/4 y) z)>
#<alt (- (+ x (* 1/4 y)) z)>
#<alt (- (+ x (* 1/4 y)) z)>
#<alt (- (+ x (* 1/4 y)) z)>
#<alt x>
#<alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (+ (* -1 z) (* 1/4 y)))>
#<alt (+ x (+ (* -1 z) (* 1/4 y)))>
#<alt (+ x (+ (* -1 z) (* 1/4 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))>

Calls

75 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+ (* 4 (/ x y)) 2)
1.0ms	x	@	0	(/ y (- (+ (* y 1/4) x) z))
1.0ms	x	@	inf	(/ x (* 1/4 y))
1.0ms	x	@	0	(+ (* (- x z) (/ 4 y)) 2)
0.0ms	x	@	0	(/ x (* 1/4 y))

rewrite395.0ms (3.7%)

Memory

-14.0MiB live, 623.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 950×	`/-lowering-/.f32`
4 950×	`/-lowering-/.f64`
4 590×	`accelerator-lowering-fma.f32`
4 590×	`accelerator-lowering-fma.f64`
4 542×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	73
1	144	73
2	1235	69
0	8427	65

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 547

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 x z) #s(literal 4 binary64)) (.f64 (-.f64 x z) #s(literal 4 binary64))) (.f64 y y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 x z) #s(literal 4 binary64)) y))) (/.f64 (/.f64 (.f64 (.f64 (-.f64 x z) #s(literal 4 binary64)) (.f64 (-.f64 x z) #s(literal 4 binary64))) (.f64 y y)) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 x z) #s(literal 4 binary64)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y)) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y))) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) y)) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (neg.f64 y))) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 1/4 binary64)) (fma.f64 x x (.f64 z (+.f64 x z))))) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 1/4 binary64)) (+.f64 x z))) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal -4 binary64) (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z))))) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal -4 binary64) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (+.f64 x z))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 2 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 2 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 2 binary64))
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simplify758.0ms (7.1%)

Memory

17.6MiB live, 692.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 266×	`accelerator-lowering-fma.f32`
11 266×	`accelerator-lowering-fma.f64`
5 704×	`-lowering-.f32`
5 704×	`-lowering-.f64`
3 576×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	2894
1	1042	2848
2	3012	2666
0	8374	2486

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* 4 (/ x y))
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x 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)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ (* -4 (/ z 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)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(/ y (- x z))
(* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
4
(+ 4 (* -16 (/ (- x z) y)))
(- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y)))
(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))
4
(+ 4 (* -16 (/ (- x z) y)))
(+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y)))
(+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y)))
(/ y (- (* 1/4 y) z))
(+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z)))
(+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x)
(/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x))
(/ y (+ x (* 1/4 y)))
(+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2)))
(+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z))
(- x z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(* 1/4 y)
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* 1/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(- (* 1/4 y) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(+ x (* 1/4 y))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(* -1 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))

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

eval138.0ms (1.3%)

Memory: -14.0MiB live, 200.5MiB allocated
Compiler: Compiled 16 789 to 2 107 computations (87.5% saved)

prune123.0ms (1.2%)

Memory

0.5MiB live, 239.2MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	844	3	847
Fresh	1	3	4
Picked	1	4	5
Done	0	0	0
Total	846	10	856

Accuracy

100.0%

Counts

856 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
✓	72.8%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
▶	65.8%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
▶	63.6%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	37.1%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
	37.0%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
▶	99.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y)))
▶	37.0%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
▶	30.3%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	37.6%	#s(literal 2 binary64)

Compiler

Compiled 152 to 113 computations (25.7% saved)

simplify223.0ms (2.1%)

Memory

-6.2MiB live, 390.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) y)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y)
✓	cost-diff	704	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y))

Rules

5 294×	`accelerator-lowering-fma.f32`
5 294×	`accelerator-lowering-fma.f64`
3 540×	`-lowering-.f32`
3 540×	`-lowering-.f64`
2 816×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	119
1	51	113
2	86	113
3	214	109
4	507	107
5	1389	107
6	5260	107
0	8075	100

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize115.0ms (1.1%)

Memory

19.6MiB live, 99.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
✓	accuracy	99.8%	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y)

Samples

55.0ms

256×

valid

Compiler

Compiled 114 to 25 computations (78.1% saved)

Precisions

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

ival-div: 8.0ms (35.9% of total)

ival-mult: 8.0ms (35.9% of total)

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

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

exact: 1.0ms (4.5% of total)

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

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

series35.0ms (0.3%)

Memory

-19.5MiB live, 17.0MiB allocated

Counts

12 → 324

Calls

Call 1

Inputs
#<alt (/ 4 (* (/ 1 (- (+ (* y 1/4) x) z)) y))>
#<alt (* (/ 1 (- (+ (* y 1/4) x) z)) y)>
#<alt (+ 1 (/ 4 (* (/ 1 (- (+ (* y 1/4) x) z)) y)))>
#<alt (/ 1 (- (+ (* y 1/4) x) z))>
#<alt (* -4 (/ z y))>
#<alt (/ z y)>
#<alt (* (/ 4 y) x)>
#<alt (/ 4 y)>
#<alt (+ (* -4 (/ z y)) 2)>
#<alt (/ (- x z) (* 1/4 y))>
#<alt (- x z)>
#<alt (* 1/4 y)>

Outputs
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (- (* 1/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (+ x (* 1/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (/ y (- x z))>
#<alt (* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt 4>
#<alt (+ 4 (* -16 (/ (- x z) y)))>
#<alt (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y)))>
#<alt (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))>
#<alt 4>
#<alt (+ 4 (* -16 (/ (- x z) y)))>
#<alt (+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y)))>
#<alt (+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y)))>
#<alt (/ y (- (* 1/4 y) z))>
#<alt (+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z)))>
#<alt (+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x))>
#<alt (/ y (+ x (* 1/4 y)))>
#<alt (+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2)))>
#<alt (+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))>
#<alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (/ 1 (- x z))>
#<alt (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))>
#<alt (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))>
#<alt (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))>
#<alt (/ 4 y)>
#<alt (/ (+ 4 (* -16 (/ (- x z) y))) y)>
#<alt (/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y)>
#<alt (/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y)>
#<alt (/ 4 y)>
#<alt (* -1 (/ (- (* 16 (/ (- x z) y)) 4) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 64 (/ (pow (- x z) 2) y)) (* 16 (- x z))) y)) 4) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256 (/ (pow (- x z) 3) y)) (* 64 (pow (- x z) 2))) y)) (* 16 (- x z))) y)) 4) y))>
#<alt (/ 1 (- (* 1/4 y) z))>
#<alt (+ (* -1 (/ x (pow (- (* 1/4 y) z) 2))) (/ 1 (- (* 1/4 y) z)))>
#<alt (+ (* x (- (/ x (pow (- (* 1/4 y) z) 3)) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 1/4 y) z) 4))) (/ 1 (pow (- (* 1/4 y) z) 3)))) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ z x)) (* 1/4 (/ y x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2))) (/ z x))) (* 1/4 (/ y x))) x)>
#<alt (/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) (pow x 3)))) (+ (* 1/4 (/ y x)) (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- z (* 1/4 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) x))) (* 1/4 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) x)) (* -1 (* (- z (* 1/4 y)) (- (* 1/4 y) z)))) x))) (* 1/4 y)) x)) 1) x))>
#<alt (/ 1 (+ x (* 1/4 y)))>
#<alt (+ (/ 1 (+ x (* 1/4 y))) (/ z (pow (+ x (* 1/4 y)) 2)))>
#<alt (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 2)) (/ z (pow (+ x (* 1/4 y)) 3)))) (/ 1 (+ x (* 1/4 y))))>
#<alt (+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 3)) (/ z (pow (+ x (* 1/4 y)) 4)))) (/ 1 (pow (+ x (* 1/4 y)) 2)))) (/ 1 (+ x (* 1/4 y))))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ (+ x (* 1/4 y)) z)) 1) z)>
#<alt (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow z 2))) (+ 1 (+ (* 1/4 (/ y z)) (/ x z)))) z)>
#<alt (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 3) (pow z 3))) (+ 1 (+ (* 1/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 1/4 y)) 2) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (+ (* 1/4 (/ y z)) (/ x z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) z)) (+ x (* 1/4 y))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 1/4 y)) 3) z) (* -1 (pow (+ x (* 1/4 y)) 2))) z)) (+ x (* 1/4 y))) z))) z))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>

Calls

81 calls:

Time	Variable		Point	Expression
23.0ms	z	@	inf	(+ (* -4 (/ z y)) 2)
1.0ms	y	@	0	(* -4 (/ z y))
0.0ms	y	@	inf	(* -4 (/ z y))
0.0ms	z	@	inf	(* -4 (/ z y))
0.0ms	x	@	inf	(/ 1 (- (+ (* y 1/4) x) z))

rewrite314.0ms (3%)

Memory

7.6MiB live, 645.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 942×	`/-lowering-/.f32`
4 942×	`/-lowering-/.f64`
4 730×	`-lowering-.f32`
4 730×	`-lowering-.f64`
4 270×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	84
1	144	78
2	1127	78
0	8487	72

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 529

Calls

Call 1

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

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

simplify578.0ms (5.4%)

Memory

32.8MiB live, 657.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 228×	`accelerator-lowering-fma.f32`
8 228×	`accelerator-lowering-fma.f64`
5 442×	`-lowering-.f32`
5 442×	`-lowering-.f64`
3 908×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	3382
1	1409	3308
2	4043	3223
0	8333	3038

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x 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)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ (* -4 (/ z 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)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(/ y (- x z))
(* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
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4
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(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))
4
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2
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(/ (+ 4 (* -16 (/ (- x z) y))) y)
(/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y)
(/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y)
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(* -4 (/ z y))
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(/ z y)
(/ z y)
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(* 4 (/ x y))
(* 4 (/ x y))
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(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
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(/ 4 y)
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(/ 4 y)
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(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
2
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(+ 2 (* -4 (/ z y)))
2
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(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
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(- x z)
(- x z)
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x
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x
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x
(+ x (* -1 z))
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(* -1 z)
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(* -1 z)
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(* 1/4 y)
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(* 1/4 y)
(* 1/4 y)
(* 1/4 y)

Outputs
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
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(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(* 4 (/ (- (* 1/4 y) z) y))
(fma.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 1/4 binary64) (/.f64 z y))))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 1/4 binary64) (/.f64 z y))))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
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(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
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(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
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(* 4 (/ x y))
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(* 4 (/ (+ x (* 1/4 y)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) y)
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
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(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(* -4 (/ z y))
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(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))
(* -4 (/ z y))
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(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z))
(/ y (- x z))
(/.f64 y (-.f64 x z))
(* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(fma.f64 y (/.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 (-.f64 x z) (-.f64 x z))) (/.f64 y (-.f64 x z)))
(* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(fma.f64 (fma.f64 y (/.f64 #s(literal 1/16 binary64) (.f64 (-.f64 x z) (.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal -1/4 binary64) (.f64 (-.f64 x z) (-.f64 x z)))) (.f64 y y) (/.f64 y (-.f64 x z)))
(* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(fma.f64 (fma.f64 y (fma.f64 #s(literal -1/64 binary64) (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 (-.f64 x z) (.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal -1/4 binary64) (.f64 (-.f64 x z) (-.f64 x z)))) (.f64 y y) (/.f64 y (-.f64 x z)))
4
#s(literal 4 binary64)
(+ 4 (* -16 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal -16 binary64) y) #s(literal 4 binary64))
(- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16 binary64) (.f64 (.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64 binary64) y))) y))
(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))
(+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 (-.f64 x z) (.f64 (-.f64 x z) (-.f64 x z))) (.f64 y (.f64 y y))) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16 binary64) (.f64 (.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64 binary64) y))) y)))
4
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(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))

eval106.0ms (1%)

Memory: -16.3MiB live, 217.4MiB allocated
Compiler: Compiled 14 398 to 1 870 computations (87% saved)

prune159.0ms (1.5%)

Memory

-17.6MiB live, 163.9MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	899	2	901
Fresh	0	1	1
Picked	1	4	5
Done	1	3	4
Total	901	10	911

Accuracy

100.0%

Counts

911 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.8%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	65.8%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	63.6%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	37.1%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
▶	37.0%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
▶	42.6%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
▶	63.4%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	37.0%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	30.3%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	37.6%	#s(literal 2 binary64)

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify78.0ms (0.7%)

Memory

15.9MiB live, 89.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	384	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	384	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

Rules

912×	`accelerator-lowering-fma.f32`
912×	`accelerator-lowering-fma.f64`
560×	`-lowering-.f32`
560×	`-lowering-.f64`
344×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	28	50
2	56	50
3	112	50
4	198	50
5	294	50
6	443	50
7	710	50
8	1152	50
9	1890	50
10	2026	50
11	2095	50
12	2129	50
13	2129	50
0	2129	49

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize52.0ms (0.5%)

Memory

-2.5MiB live, 114.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	98.7%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	98.7%	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

Samples

31.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 14.0ms (69.9% of total)

ival-mult: 3.0ms (15% of total)

ival-sub: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

9 → 204

Calls

Call 1

Inputs
#<alt (* (/ 4 y) (- x z))>
#<alt (/ 4 y)>
#<alt (- x z)>
#<alt (/ 4 (* (/ 1 x) y))>
#<alt (* (/ 1 x) y)>
#<alt (+ 1 (/ 4 (* (/ 1 x) y)))>
#<alt (/ 1 x)>
#<alt (/ 4 (/ y x))>
#<alt (/ y x)>

Outputs
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt 1>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))>
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))>
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ y (* 4 x)) y)>
#<alt (/ (+ y (* 4 x)) y)>
#<alt (/ (+ y (* 4 x)) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 4 (* (/ 1 x) y))
0.0ms	y	@	-inf	(* (/ 1 x) y)
0.0ms	x	@	0	(* (/ 1 x) y)
0.0ms	y	@	0	(* (/ 1 x) y)
0.0ms	x	@	-inf	(* (/ 1 x) y)

rewrite321.0ms (3%)

Memory

8.0MiB live, 400.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 068×	`accelerator-lowering-fma.f32`
5 068×	`accelerator-lowering-fma.f64`
4 606×	`-lowering-.f32`
4 606×	`-lowering-.f64`
3 370×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	84	39
2	609	39
0	8115	38

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 505

Calls

Call 1

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

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

simplify259.0ms (2.4%)

Memory

-1.6MiB live, 405.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 470×	`accelerator-lowering-fma.f32`
5 470×	`accelerator-lowering-fma.f64`
3 306×	`-lowering-.f32`
3 306×	`-lowering-.f64`
1 450×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	903
1	173	903
2	483	903
3	1539	903
4	3625	903
5	5786	903
6	7528	903
7	7840	903
0	8037	885

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval104.0ms (1%)

Memory: 2.6MiB live, 192.6MiB allocated
Compiler: Compiled 9 820 to 1 098 computations (88.8% saved)

prune123.0ms (1.2%)

Memory

-15.4MiB live, 188.5MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	707	2	709
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	708	11	719

Accuracy

100.0%

Counts

719 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.8%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	65.8%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	63.6%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	37.1%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	37.0%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
	37.0%	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	63.4%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	37.0%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	30.3%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	37.6%	#s(literal 2 binary64)
	8.7%	#s(literal 1 binary64)

Compiler

Compiled 216 to 113 computations (47.7% saved)

regimes81.0ms (0.8%)

Memory

23.5MiB live, 67.6MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

57.0ms	z
6.0ms	y
6.0ms	x
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
5.0ms	(+.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
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes66.0ms (0.6%)

Memory

-12.6MiB live, 26.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

51.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
4.0ms	y
4.0ms	z
4.0ms	x
3.0ms	(+.f64 #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
90.0%	3	`x`
88.6%	3	`y`
90.9%	3	`z`
99.1%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.1%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.9%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
98.9%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes56.0ms (0.5%)

Memory

-26.1MiB live, 12.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

50.0ms

(+.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
90.9%	3	`z`
72.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
72.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes9.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
71.7%	3	`y`
80.5%	3	`x`
70.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes76.0ms (0.7%)

Memory

-19.2MiB live, 20.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	y
2.0ms	x
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
60.7%	4	`y`
71.5%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
71.5%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
63.0%	5	`x`

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes5.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

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
71.4%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
71.4%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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
54.7%	3	`z`
64.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
64.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes58.0ms (0.5%)

Memory

-23.4MiB live, 17.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

5 calls:

51.0ms	z
2.0ms	x
2.0ms	y
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
37.6%	1	`z`
37.6%	1	`y`
37.6%	1	`x`
37.6%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
37.6%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

5 calls:

1.0ms	x
1.0ms	z
1.0ms	y
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
8.7%	1	`y`
8.7%	1	`x`
8.7%	1	`z`
8.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
8.7%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1556045903.417241	3.441881208264749e+32
0.0ms	-55.29783346197618	0.9999665246036477

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1556045903.417241	3.441881208264749e+32
0.0ms	-55.29783346197618	0.9999665246036477

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch86.0ms (0.8%)

Memory

4.3MiB live, 43.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.504517094209143e+45	2.4444930353302437e+63
68.0ms	-7.083259573841078e-8	-5.3699404770807334e-11

Samples

73.0ms

288×

valid

Compiler

Compiled 379 to 306 computations (19.3% saved)

Precisions

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

ival-add: 3.0ms (30.5% of total)

ival-mult: 3.0ms (30.5% of total)

ival-div: 2.0ms (20.3% of total)

ival-sub: 1.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.952809219281171e+132	1.111493242563292e+136
10.0ms	-3.076757499343425e+38	-3.6895752509369435e+36

Samples

14.0ms

240×

valid

Compiler

Compiled 304 to 243 computations (20.1% saved)

Precisions

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

ival-mult: 3.0ms (37.6% of total)

ival-div: 2.0ms (25.1% of total)

ival-add: 2.0ms (25.1% of total)

ival-sub: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0022941461739605	1556045903.417241
0.0ms	-55.29783346197618	0.9999665246036477

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0022941461739605	1556045903.417241
0.0ms	-55.29783346197618	0.9999665246036477

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.441881208264749e+32	8.558343309847583e+34
0.0ms	-55.29783346197618	0.9999665246036477

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify12.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`if-if-or-not_binary32`
12×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	240
1	85	240
2	90	240
3	92	240
4	93	240

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))))
(if (<=.f64 z #s(literal -3191564163782621/9671406556917033397649408 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 7200000000000000487475840722802739848802682094463962054656 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 x #s(literal 5299999999999999967157509711072557472450642944964615555547584508729825171006995433563816258727554567524598443785865164765095346044928 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(literal 2 binary64) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) x)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 499999999999999972787615493521408 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 (-.f64 x z) (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 y #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))))
(if (<=.f64 z #s(literal -3191564163782621/9671406556917033397649408 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 7200000000000000487475840722802739848802682094463962054656 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 x #s(literal 5299999999999999967157509711072557472450642944964615555547584508729825171006995433563816258727554567524598443785865164765095346044928 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 x #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 x #s(literal 5299999999999999967157509711072557472450642944964615555547584508729825171006995433563816258727554567524598443785865164765095346044928 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(literal 2 binary64) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) x)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 x (/.f64 #s(literal 4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 499999999999999972787615493521408 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)
#s(literal 1 binary64)

soundness1.5s (13.9%)

Memory

-19.0MiB live, 1 033.7MiB allocated

Rules

16 484×	`accelerator-lowering-fma.f32`
16 484×	`accelerator-lowering-fma.f64`
8 228×	`accelerator-lowering-fma.f32`
8 228×	`accelerator-lowering-fma.f64`
6 902×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	68	41
2	623	41
0	8483	36
0	22	73
1	144	73
2	1235	69
0	8427	65
0	62	903
1	173	903
2	483	903
3	1539	903
4	3625	903
5	5786	903
6	7528	903
7	7840	903
0	8037	885
0	464	3382
1	1409	3308
2	4043	3223
0	8333	3038
0	23	84
1	144	78
2	1127	78
0	8487	72
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

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

Compiler

Compiled 425 to 172 computations (59.5% saved)

preprocess54.0ms (0.5%)

Memory: -9.1MiB live, 144.9MiB allocated
Compiler: Compiled 584 to 132 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze165.0ms (1.6%)

sample1.7s (16.1%)

preprocess432.0ms (4.1%)

explain297.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify247.0ms (2.3%)

localize34.0ms (0.3%)

series13.0ms (0.1%)

rewrite333.0ms (3.1%)

simplify699.0ms (6.6%)

eval266.0ms (2.5%)

prune93.0ms (0.9%)

simplify305.0ms (2.9%)

localize89.0ms (0.8%)

series21.0ms (0.2%)

rewrite395.0ms (3.7%)

simplify758.0ms (7.1%)

eval138.0ms (1.3%)

prune123.0ms (1.2%)

simplify223.0ms (2.1%)

localize115.0ms (1.1%)

series35.0ms (0.3%)

rewrite314.0ms (3%)

simplify578.0ms (5.4%)

eval106.0ms (1%)

prune159.0ms (1.5%)

simplify78.0ms (0.7%)

localize52.0ms (0.5%)

series5.0ms (0%)

rewrite321.0ms (3%)

simplify259.0ms (2.4%)

eval104.0ms (1%)

prune123.0ms (1.2%)

regimes81.0ms (0.8%)

regimes66.0ms (0.6%)

regimes7.0ms (0.1%)

regimes56.0ms (0.5%)

regimes9.0ms (0.1%)

regimes76.0ms (0.7%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes58.0ms (0.5%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch86.0ms (0.8%)

bsearch25.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.5s (13.9%)

preprocess54.0ms (0.5%)

end0.0ms (0%)

Profiling