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

analyze45.0ms (0.6%)

Memory

-0.6MiB live, 115.1MiB 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 (21.5%)

Memory

5.4MiB live, 1 877.5MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 827.0ms

ival-add: 397.0ms (48% of total)

ival-div: 259.0ms (31.3% of total)

ival-mult: 113.0ms (13.7% of total)

ival-sub: 39.0ms (4.7% of total)

exact: 10.0ms (1.2% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess450.0ms (5.8%)

Memory

-27.5MiB live, 614.5MiB 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))

explain136.0ms (1.7%)

Memory

-11.0MiB live, 368.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

38.0ms

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: 3.0ms (16.5% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

simplify239.0ms (3.1%)

Memory

17.7MiB live, 490.2MiB 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	192	(+.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)
(fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))
y
1/4
#s(literal 1/4 binary64)
z

localize41.0ms (0.5%)

Memory

-5.0MiB live, 79.7MiB 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 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
✓	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))

Samples

23.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 5.0ms (36.9% of total)

ival-mult: 3.0ms (22.1% of total)

ival-div: 2.0ms (14.8% of total)

ival-add: 2.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-7.3MiB live, 31.0MiB 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	y	@	0	(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
1.0ms	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))

rewrite351.0ms (4.5%)

Memory

10.3MiB live, 684.9MiB 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))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) z)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 z #s(literal 4 binary64)))))
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(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.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)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))))) (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 #s(literal 1 binary64) y) (.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 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.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)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))) #s(literal 4 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 (.f64 (/.f64 #s(literal 1 binary64) y) (.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 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(/.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)) (-.f64 #s(literal 0 binary64) (.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 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))))
(/.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)) (-.f64 #s(literal 0 binary64) (.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 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))))) (/.f64 #s(literal 4 binary64) y)) (-.f64 #s(literal 0 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 (.f64 (.f64 (-.f64 #s(literal 0 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 4 binary64) y)) (-.f64 #s(literal 0 binary64) (+.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)) (-.f64 #s(literal 0 binary64) (.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)) (-.f64 #s(literal 0 binary64) (.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)) (-.f64 #s(literal 0 binary64) (.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 (-.f64 #s(literal 0 binary64) (-.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 -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 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) 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 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) 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 (-.f64 #s(literal 0 binary64) y) #s(literal -4 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)

simplify433.0ms (5.6%)

Memory

9.9MiB live, 581.6MiB 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 (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 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))
(* 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 (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(* -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) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(/ (+ (* 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)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(+ 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)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 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)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* -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 (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 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))
(* 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 (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 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))
(* -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) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(/ (+ 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)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))

eval60.0ms (0.8%)

Memory: 32.6MiB live, 104.9MiB allocated
Compiler: Compiled 12 531 to 1 397 computations (88.9% saved)

prune214.0ms (2.7%)

Memory

7.1MiB live, 92.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	474	5	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	5	480

Accuracy

100.0%

Counts

480 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
▶	63.9%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
▶	68.6%	(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
▶	33.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
▶	33.1%	#s(literal 2 binary64)

Compiler

Compiled 82 to 64 computations (22% saved)

simplify96.0ms (1.2%)

Memory

-28.5MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	cost-diff	-64	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))

Rules

976×	`accelerator-lowering-fma.f32`
976×	`accelerator-lowering-fma.f64`
560×	`-lowering-.f32`
560×	`-lowering-.f64`
418×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	58
1	34	58
2	55	58
3	82	58
4	143	58
5	233	58
6	346	58
7	594	58
8	1188	58
9	1949	58
10	2078	58
11	2194	58
12	2288	58
13	2296	58
14	2296	58
0	2296	56

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* 4 (/ x y)) 2)
4
(/ x y)
x
y
2
2
(* -4 (/ z y))
-4
(/ z y)
z
y
(+ (* -4 (/ z y)) 2)
-4
(/ z y)
z
y
2
(/ (- x z) (+ (* 1/4 y) 0))
(- x z)
x
z
(+ (* 1/4 y) 0)
1/4
y
0

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

localize51.0ms (0.7%)

Memory

9.2MiB live, 85.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x y)

Samples

30.0ms

256×

valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

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

ival-div: 6.0ms (34.3% of total)

ival-mult: 6.0ms (34.3% of total)

ival-add: 3.0ms (17.2% of total)

ival-sub: 1.0ms (5.7% of total)

exact: 1.0ms (5.7% of total)

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

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

series14.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

8 → 192

Calls

Call 1

Inputs
#<alt (+ (* 4 (/ x y)) 2)>
#<alt (/ x y)>
#<alt (/ z y)>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) 2)>
#<alt (/ (- x z) (+ (* 1/4 y) 0))>
#<alt (- x z)>
#<alt (+ (* 1/4 y) 0)>

Outputs
#<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 (/ 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 (/ 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 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

48 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/ (- x z) (+ (* 1/4 y) 0))
1.0ms	y	@	0	(/ (- x z) (+ (* 1/4 y) 0))
1.0ms	y	@	inf	(/ (- x z) (+ (* 1/4 y) 0))
0.0ms	x	@	inf	(+ (* 4 (/ x y)) 2)
0.0ms	y	@	0	(+ (* 4 (/ x y)) 2)

rewrite774.0ms (9.9%)

Memory

-21.5MiB live, 720.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 378×	`accelerator-lowering-fma.f32`
8 378×	`accelerator-lowering-fma.f64`
5 518×	`-lowering-.f32`
5 518×	`-lowering-.f64`
4 500×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	105	38
2	854	38
0	8557	36

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1 021

Calls

Call 1

Inputs
(+ (* 4 (/ x y)) 2)
(/ x y)
(/ z y)
(* -4 (/ z y))
(+ (* -4 (/ z y)) 2)
(/ (- x z) (+ (* 1/4 y) 0))
(- x z)
(+ (* 1/4 y) 0)

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

simplify401.0ms (5.1%)

Memory

0.3MiB live, 322.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 852×	`accelerator-lowering-fma.f32`
4 852×	`accelerator-lowering-fma.f64`
3 424×	`-lowering-.f32`
3 424×	`-lowering-.f64`
1 526×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1023
1	210	1023
2	570	903
3	1818	903
4	4260	903
5	6645	903
0	8093	867

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
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)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ 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 (/ (- 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))
(* -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)))))
(* 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
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 z #s(literal -4 binary64) #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 z #s(literal -4 binary64) #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 z #s(literal -4 binary64) #s(literal 0 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) 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)
(* 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))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))

eval164.0ms (2.1%)

Memory: -18.7MiB live, 282.8MiB allocated
Compiler: Compiled 24 802 to 2 123 computations (91.4% saved)

prune159.0ms (2%)

Memory

20.8MiB live, 383.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 258	3	1 261
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 259	7	1 266

Accuracy

100.0%

Counts

1 266 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
✓	70.2%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	63.9%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
▶	68.6%	(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
▶	33.1%	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	33.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	33.1%	#s(literal 2 binary64)

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify82.0ms (1%)

Memory

-9.5MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
✓	cost-diff	-64	(*.f64 y #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
✓	cost-diff	-64	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) y)

Rules

896×	`accelerator-lowering-fma.f32`
896×	`accelerator-lowering-fma.f64`
544×	`-lowering-.f32`
544×	`-lowering-.f64`
436×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	30	42
2	53	42
3	78	42
4	134	42
5	212	42
6	324	42
7	569	42
8	1157	42
9	1928	42
10	2073	42
11	2185	42
12	2275	42
13	2279	42
14	2279	42
0	2279	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize44.0ms (0.6%)

Memory

-2.4MiB live, 75.9MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

30.0ms

256×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

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

ival-div: 11.0ms (60.3% of total)

ival-mult: 4.0ms (21.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.0MiB live, 5.9MiB allocated

Counts

7 → 144

Calls

Call 1

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

Outputs
#<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 (/ 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 (* -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)>
#<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 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 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)>

Calls

36 calls:

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

rewrite414.0ms (5.3%)

Memory

0.3MiB live, 522.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 250×	`-lowering-.f32`
4 250×	`-lowering-.f64`
3 944×	`accelerator-lowering-fma.f32`
3 944×	`accelerator-lowering-fma.f64`
3 484×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	76	31
2	530	31
3	6792	31
0	8224	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 567

Calls

Call 1

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

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

simplify328.0ms (4.2%)

Memory

24.6MiB live, 375.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 056×	`accelerator-lowering-fma.f32`
5 056×	`accelerator-lowering-fma.f64`
3 352×	`-lowering-.f32`
3 352×	`-lowering-.f64`
1 450×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	801
1	183	801
2	501	681
3	1582	681
4	3691	681
5	5872	681
6	7639	681
7	7954	681
0	8012	663

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ -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 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ 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 (/ (- 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))
(* -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)))))
(* 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)
(* 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)))
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 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)

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

eval139.0ms (1.8%)

Memory: -52.7MiB live, 172.1MiB allocated
Compiler: Compiled 12 435 to 1 356 computations (89.1% saved)

prune102.0ms (1.3%)

Memory

10.4MiB live, 201.3MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	710	1	711
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	710	8	718

Accuracy

100.0%

Counts

718 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.1%	(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
✓	70.2%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	63.9%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	68.6%	(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
▶	39.1%	(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
✓	33.1%	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	33.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	33.1%	#s(literal 2 binary64)

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	10	11
0	10	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (* y 1/4))
x
(* y 1/4)
y
1/4

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

localize19.0ms (0.2%)

Memory

8.7MiB live, 46.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (42.5% of total)

ival-mult: 2.0ms (42.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

2 → 36

Calls

Call 1

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

Outputs
#<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)>

Calls

9 calls:

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

rewrite94.0ms (1.2%)

Memory

-6.8MiB live, 151.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 060×	`-lowering-.f32`
1 060×	`-lowering-.f64`
898×	`/-lowering-/.f32`
898×	`/-lowering-/.f64`
210×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	77	8
3	388	8
0	2298	8

Stop Event

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

Counts

2 → 155

Calls

Call 1

Inputs
(/ x (* y 1/4))
(* y 1/4)

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

simplify7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
8×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	156
1	11	156
2	13	156
3	15	156
4	16	156
0	16	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 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)

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

eval34.0ms (0.4%)

Memory: -1.1MiB live, 38.1MiB allocated
Compiler: Compiled 1 972 to 366 computations (81.4% saved)

prune44.0ms (0.6%)

Memory

-23.5MiB live, 68.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	191	8	199

Accuracy

100.0%

Counts

199 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	63.9%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	68.6%	(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
✓	39.1%	(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
	39.0%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	33.1%	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	33.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	33.1%	#s(literal 2 binary64)

Compiler

Compiled 134 to 79 computations (41% saved)

regimes21.0ms (0.3%)

Memory

21.8MiB live, 59.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
(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 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

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

Calls

5 calls:

5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(/.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
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
100.0%	1	`(/.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)

regimes19.0ms (0.2%)

Memory

-3.8MiB live, 34.8MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
(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 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))

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

Calls

5 calls:

4.0ms	(/.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
90.5%	3	`x`
89.5%	3	`y`
89.1%	3	`z`
99.5%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.5%	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)

regimes47.0ms (0.6%)

Memory

-29.3MiB live, 12.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

(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))

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

Calls

3 calls:

41.0ms

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
90.5%	3	`x`
70.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.2%	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

6.2MiB live, 6.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
71.9%	3	`z`
73.6%	3	`y`
83.0%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
61.3%	4	`z`
71.2%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
71.2%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
63.0%	5	`y`
62.4%	4	`x`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 4

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.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
71.1%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
71.1%	4	`(/.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)

regimes29.0ms (0.4%)

Memory

-32.2MiB live, 7.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

27.0ms

(/.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
63.4%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
63.4%	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)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
33.1%	1	`z`
33.1%	1	`y`
33.1%	1	`x`
33.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
33.1%	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

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7129095954.912829	13873637931.601595
0.0ms	-1385381859104.7166	-161255023.22045627

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch27.0ms (0.3%)

Memory

19.1MiB live, 56.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.808523347178099e-68	5.2580695517411357e-67
14.0ms	-3.266347213751336	-0.0003498693552254073

Samples

16.0ms

240×

valid

Compiler

Compiled 319 to 258 computations (19.1% saved)

Precisions

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

ival-mult: 3.0ms (35.6% of total)

ival-div: 2.0ms (23.7% of total)

ival-add: 2.0ms (23.7% of total)

ival-sub: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Memory

-19.2MiB live, 59.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.5293846774397012e+158	7.574639293429328e+162
15.0ms	-866746772928.6237	-10753468.417863375

Samples

21.0ms

272×

valid

Compiler

Compiled 342 to 273 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 3.0ms (26.3% of total)

ival-add: 3.0ms (26.3% of total)

ival-mult: 3.0ms (26.3% of total)

ival-div: 2.0ms (17.5% 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

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.144877828884018e+97	2.026822375974941e+102
0.0ms	7129095954.912829	13873637931.601595
0.0ms	-161255023.22045627	0.01201604944065792

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.144877828884018e+97	2.026822375974941e+102
0.0ms	7129095954.912829	13873637931.601595
0.0ms	-161255023.22045627	0.01201604944065792

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7129095954.912829	13873637931.601595
0.0ms	-161255023.22045627	0.01201604944065792

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify12.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	248
1	77	248
2	82	248
3	84	248
4	85	248

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1000000000000 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 10000000000 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 x #s(literal -2476979795053773/1125899906842624 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (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))))
(if (<=.f64 x #s(literal -850000000000 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 x #s(literal 37000000000000001646337934209720886725008329357804025925129889017662911464621902058705531255853337086658213518263937427138994439932591365269471885686350028996608 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 -100000000 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 10000000000 binary64)) #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 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (/.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 -100000000 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 10000000000 binary64)) #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 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (*.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 -100000000 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 10000000000 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1000000000000 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 10000000000 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 x #s(literal -2476979795053773/1125899906842624 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (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))))
(if (<=.f64 x #s(literal -850000000000 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 x #s(literal 37000000000000001646337934209720886725008329357804025925129889017662911464621902058705531255853337086658213518263937427138994439932591365269471885686350028996608 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 -100000000 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 10000000000 binary64)) #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 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (/.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 -100000000 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 10000000000 binary64)) #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 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (*.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 -100000000 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 10000000000 binary64)) #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 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (*.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 -100000000 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 10000000000 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)

soundness885.0ms (11.4%)

Memory

-8.1MiB live, 625.8MiB allocated

Rules

16 484×	`accelerator-lowering-fma.f32`
16 484×	`accelerator-lowering-fma.f64`
8 378×	`accelerator-lowering-fma.f32`
8 378×	`accelerator-lowering-fma.f64`
5 518×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	105	38
2	854	38
0	8557	36
0	5	8
1	16	8
2	77	8
3	388	8
0	2298	8
0	67	801
1	183	801
2	501	681
3	1582	681
4	3691	681
5	5872	681
6	7639	681
7	7954	681
0	8012	663
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 438 to 184 computations (58% saved)

preprocess52.0ms (0.7%)

Memory: 3.7MiB live, 156.5MiB allocated
Compiler: Compiled 572 to 132 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze45.0ms (0.6%)

sample1.7s (21.5%)

preprocess450.0ms (5.8%)

explain136.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify239.0ms (3.1%)

localize41.0ms (0.5%)

series14.0ms (0.2%)

rewrite351.0ms (4.5%)

simplify433.0ms (5.6%)

eval60.0ms (0.8%)

prune214.0ms (2.7%)

simplify96.0ms (1.2%)

localize51.0ms (0.7%)

series14.0ms (0.2%)

rewrite774.0ms (9.9%)

simplify401.0ms (5.1%)

eval164.0ms (2.1%)

prune159.0ms (2%)

simplify82.0ms (1%)

localize44.0ms (0.6%)

series3.0ms (0%)

rewrite414.0ms (5.3%)

simplify328.0ms (4.2%)

eval139.0ms (1.8%)

prune102.0ms (1.3%)

simplify4.0ms (0.1%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite94.0ms (1.2%)

simplify7.0ms (0.1%)

eval34.0ms (0.4%)

prune44.0ms (0.6%)

regimes21.0ms (0.3%)

regimes19.0ms (0.2%)

regimes47.0ms (0.6%)

regimes9.0ms (0.1%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes29.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch27.0ms (0.3%)

bsearch33.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness885.0ms (11.4%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling