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

analyze40.0ms (0.4%)

Memory

-13.1MiB live, 104.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.6s (16.5%)

Memory

53.8MiB live, 1 630.7MiB allocated

Samples

652.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 408.0ms

ival-mult: 157.0ms (38.5% of total)

ival-div: 100.0ms (24.5% of total)

ival-add: 86.0ms (21.1% of total)

ival-sub: 45.0ms (11% of total)

exact: 11.0ms (2.7% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess623.0ms (6.3%)

Memory

-4.2MiB live, 481.0MiB 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))

explain165.0ms (1.7%)

Memory

-34.3MiB live, 252.3MiB 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	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

42.0ms

512×

valid

Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions

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

ival-add: 7.0ms (33.6% of total)

ival-mult: 7.0ms (33.6% of total)

ival-div: 4.0ms (19.2% of total)

ival-sub: 2.0ms (9.6% of total)

exact: 1.0ms (4.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

simplify240.0ms (2.4%)

Memory

3.4MiB live, 400.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize51.0ms (0.5%)

Memory

12.1MiB live, 49.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

39.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (32.4% of total)

ival-div: 2.0ms (21.6% of total)

ival-add: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-11.5MiB live, 25.7MiB 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
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	x	@	inf	(* 4 (- (+ x (* y 1/4)) z))
1.0ms	y	@	inf	(* 4 (- (+ x (* y 1/4)) z))
0.0ms	x	@	-inf	(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))

rewrite310.0ms (3.1%)

Memory

5.9MiB live, 601.3MiB 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 (*.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (neg.f64 (.f64 z (.f64 z z)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))))
(/.f64 (.f64 (.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))
(.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (neg.f64 (.f64 z (.f64 z z)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))) (/.f64 #s(literal 4 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) y))
(.f64 (fma.f64 y #s(literal -1/4 binary64) (neg.f64 (-.f64 x z))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y #s(literal -1/4 binary64) (neg.f64 (-.f64 x z))) y))
(.f64 #s(literal -4 binary64) (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 (fma.f64 y #s(literal -1/4 binary64) (neg.f64 (-.f64 x z))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(/.f64 y #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)

simplify398.0ms (4%)

Memory

32.1MiB live, 593.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval71.0ms (0.7%)

Memory: -6.4MiB live, 108.4MiB allocated
Compiler: Compiled 12 417 to 1 392 computations (88.8% saved)

prune61.0ms (0.6%)

Memory

-23.6MiB live, 106.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	472	7	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	473	7	480

Accuracy

100.0%

Counts

480 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.5%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
▶	67.4%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
	73.8%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
▶	36.6%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
▶	99.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
▶	41.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
▶	28.6%	#s(literal 2 binary64)

Compiler

Compiled 126 to 96 computations (23.8% saved)

simplify389.0ms (4%)

Memory

26.3MiB live, 373.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

8 126×	`accelerator-lowering-fma.f32`
8 126×	`accelerator-lowering-fma.f64`
3 518×	`-lowering-.f32`
3 518×	`-lowering-.f64`
2 172×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	88
1	36	88
2	65	88
3	174	88
4	341	82
5	581	82
6	1403	82
7	4630	82
0	8198	76

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize67.0ms (0.7%)

Memory

-21.7MiB live, 96.4MiB allocated

Localize:

Found 10 expressions of interest:

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

Samples

35.0ms

256×

valid

Compiler

Compiled 84 to 21 computations (75% saved)

Precisions

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

ival-div: 11.0ms (50.8% of total)

ival-mult: 5.0ms (23.1% of total)

ival-add: 4.0ms (18.5% of total)

ival-sub: 1.0ms (4.6% of total)

exact: 1.0ms (4.6% of total)

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

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

series16.0ms (0.2%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

9 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite664.0ms (6.7%)

Memory

-19.0MiB live, 584.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 628×	`accelerator-lowering-fma.f32`
6 628×	`accelerator-lowering-fma.f64`
4 622×	`-lowering-.f32`
4 622×	`-lowering-.f64`
3 886×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	63
1	115	63
2	928	59
0	8406	54

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 453

Calls

Call 1

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

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

simplify723.0ms (7.3%)

Memory

5.5MiB live, 721.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 430×	`accelerator-lowering-fma.f32`
14 430×	`accelerator-lowering-fma.f64`
7 020×	`-lowering-.f32`
7 020×	`-lowering-.f64`
2 982×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	2456
1	933	2413
2	2659	2264
0	8422	2112

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval240.0ms (2.4%)

Memory: -28.4MiB live, 187.3MiB allocated
Compiler: Compiled 14 438 to 1 715 computations (88.1% saved)

prune146.0ms (1.5%)

Memory

33.1MiB live, 155.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	745	2	747
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	746	8	754

Accuracy

100.0%

Counts

754 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.5%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	67.4%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
▶	73.8%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	36.6%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
▶	77.4%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
▶	36.5%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	41.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	28.6%	#s(literal 2 binary64)

Compiler

Compiled 68 to 52 computations (23.5% saved)

simplify137.0ms (1.4%)

Memory

-2.0MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) y)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 y (-.f64 x z))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
✓	cost-diff	384	(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) x)

Rules

1 440×	`accelerator-lowering-fma.f32`
1 440×	`accelerator-lowering-fma.f64`
736×	`-lowering-.f32`
736×	`-lowering-.f64`
612×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	60	71
3	110	71
4	211	71
5	335	71
6	565	71
7	1001	71
8	1809	71
9	2826	71
10	3119	71
11	3415	71
12	3573	71
13	3606	71
14	3610	71
15	3610	71
16	3610	71
0	3610	69

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize105.0ms (1.1%)

Memory

0.9MiB live, 118.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
✓	accuracy	100.0%	(/.f64 y (-.f64 x z))
✓	accuracy	99.2%	(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)

Samples

83.0ms

256×

valid

Compiler

Compiled 72 to 20 computations (72.2% saved)

Precisions

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

ival-div: 9.0ms (49.8% of total)

ival-mult: 5.0ms (27.7% of total)

ival-add: 2.0ms (11.1% of total)

ival-sub: 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)

series14.0ms (0.1%)

Memory

-4.6MiB live, 34.6MiB allocated

Counts

10 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ 4 (/ y (- x z)))
1.0ms	x	@	-inf	(/ x y)
1.0ms	y	@	0	(/ 4 (/ y (- x z)))
1.0ms	y	@	inf	(/ 4 (/ y (- x z)))
0.0ms	y	@	-inf	(/ y (- x z))

rewrite470.0ms (4.8%)

Memory

-27.2MiB live, 736.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 564×	`accelerator-lowering-fma.f32`
5 564×	`accelerator-lowering-fma.f64`
4 562×	`/-lowering-/.f32`
4 562×	`/-lowering-/.f64`
4 258×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	104	52
2	829	52
0	8444	50

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 800

Calls

Call 1

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

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

simplify402.0ms (4.1%)

Memory

17.2MiB live, 560.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 652×	`accelerator-lowering-fma.f32`
11 652×	`accelerator-lowering-fma.f64`
5 346×	`-lowering-.f32`
5 346×	`-lowering-.f64`
2 522×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	1865
1	617	1834
2	1792	1759
3	6523	1749
0	8128	1675

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
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(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
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eval141.0ms (1.4%)

Memory: 14.1MiB live, 329.9MiB allocated
Compiler: Compiled 18 878 to 1 816 computations (90.4% saved)

prune194.0ms (2%)

Memory

0.5MiB live, 238.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 135	2	1 137
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	1 136	9	1 145

Accuracy

100.0%

Counts

1 145 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.5%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	67.4%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	73.8%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	36.6%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
▶	73.6%	(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
✓	36.5%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	41.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	28.6%	#s(literal 2 binary64)
▶	7.3%	#s(literal 1 binary64)

Compiler

Compiled 70 to 54 computations (22.9% saved)

simplify78.0ms (0.8%)

Memory

8.4MiB live, 82.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

832×	`accelerator-lowering-fma.f32`
832×	`accelerator-lowering-fma.f64`
544×	`-lowering-.f32`
544×	`-lowering-.f64`
400×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	14	20
2	27	20
3	58	20
4	115	20
5	187	20
6	311	20
7	530	20
8	910	20
9	1650	20
10	2054	20
11	2301	20
12	2334	20
13	2347	20
14	2347	20
0	2347	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.2%)

Memory

7.9MiB live, 46.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(/.f64 y (-.f64 x z))
✓	accuracy	99.2%	(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (58.9% of total)

ival-sub: 3.0ms (44.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite353.0ms (3.6%)

Memory

-21.9MiB live, 545.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 120×	`/-lowering-/.f32`
5 120×	`/-lowering-/.f64`
3 872×	`-lowering-.f32`
3 872×	`-lowering-.f64`
1 782×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	40	15
2	280	15
3	2937	15
0	9308	15

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 677

Calls

Call 1

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

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

simplify323.0ms (3.3%)

Memory

7.4MiB live, 525.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 990×	`accelerator-lowering-fma.f32`
7 990×	`accelerator-lowering-fma.f64`
4 582×	`-lowering-.f32`
4 582×	`-lowering-.f64`
1 788×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	755
1	522	727
2	1552	690
3	5829	680
0	8510	652

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval172.0ms (1.7%)

Memory: 31.4MiB live, 180.9MiB allocated
Compiler: Compiled 18 448 to 2 308 computations (87.5% saved)

prune119.0ms (1.2%)

Memory

-35.9MiB live, 289.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	773	0	773
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	773	9	782

Accuracy

100.0%

Counts

782 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.5%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	67.4%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	73.8%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	36.6%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	73.6%	(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
✓	36.5%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	41.2%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	28.6%	#s(literal 2 binary64)
✓	7.3%	#s(literal 1 binary64)

Compiler

Compiled 150 to 87 computations (42% saved)

regimes23.0ms (0.2%)

Memory

22.8MiB live, 61.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
100.0%	1	`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)

regimes38.0ms (0.4%)

Memory

5.7MiB live, 46.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
89.7%	3	`x`
89.5%	3	`y`
89.5%	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)

regimes16.0ms (0.2%)

Memory

3.1MiB live, 42.6MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.1%	3	`y`
89.0%	3	`z`
84.2%	3	`x`
70.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory

-23.2MiB live, 16.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
82.3%	3	`x`
74.2%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-6.8MiB live, 32.4MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
3.0ms	x
3.0ms	z
2.0ms	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
68.5%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
68.5%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
59.8%	6	`y`
65.2%	4	`z`
57.9%	3	`x`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes5.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

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
68.4%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
68.4%	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)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

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

regimes10.0ms (0.1%)

Memory

-18.0MiB live, 24.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 2 binary64)

Calls

5 calls:

3.0ms	x
2.0ms	y
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))
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
28.6%	1	`y`
28.6%	1	`x`
28.6%	1	`z`
28.6%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
28.6%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
7.3%	1	`x`
7.3%	1	`y`
7.3%	1	`z`
7.3%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
7.3%	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

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0088040583227467	1405292.8000532892
0.0ms	-6.810019775120298e+19	0.8657398914592291

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch61.0ms (0.6%)

Memory

-20.5MiB live, 18.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0400254248624603e+51	5.827437903563413e+60
44.0ms	-5.87787689050429e+165	-1.1095502474084459e+157

Samples

48.0ms

288×

valid

Compiler

Compiled 379 to 306 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 34.0ms (83.2% of total)

ival-add: 3.0ms (7.3% of total)

ival-div: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.341531576263357e+136	3.3986163396517206e+143
15.0ms	-2.0493375790317604e+171	-8.193310924326928e+157

Samples

18.0ms

304×

valid

Compiler

Compiled 380 to 303 computations (20.3% saved)

Precisions

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

ival-mult: 4.0ms (36.8% of total)

ival-add: 3.0ms (27.6% of total)

ival-div: 2.0ms (18.4% of total)

ival-sub: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.0222878438409194e+75	1.2563942413328363e+83
0.0ms	1.0088040583227467	1405292.8000532892
0.0ms	-6.810019775120298e+19	0.8657398914592291

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.0222878438409194e+75	1.2563942413328363e+83
0.0ms	1.0088040583227467	1405292.8000532892
0.0ms	-6.810019775120298e+19	0.8657398914592291

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3321687.658389816	52721743065.55389
0.0ms	-6.810019775120298e+19	0.8657398914592291

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify16.0ms (0.2%)

Memory

-21.3MiB live, 16.6MiB 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	249
1	79	249
2	84	249
3	86	249
4	87	249

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 -50000000000000000000 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 z #s(literal -11199999999999999508764561632951166857217065008206772961548947912331157324921793772337343352676777567740215872162728968179537739974577708681222341217155547136 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 719999999999999996480212513224125996905928507926798925824 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -195000000000000009857848023657282814884296903834489549618397360966320644530526171248723863199138362529260461593252848500802187878014811804427531816726331079524352 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000144502874952501674747542855291982291460254179075538486830354667180393605788762000615809377821051018716546053358790530564096 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50000000000000000000 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 2 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 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (*.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 -50000000000000000000 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 2 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 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (*.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 -50000000000000000000 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 5000000 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)
#s(literal 1 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 -50000000000000000000 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50000000000000000000 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 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 y #s(literal 1/4 binary64)))))
(if (<=.f64 z #s(literal -11199999999999999508764561632951166857217065008206772961548947912331157324921793772337343352676777567740215872162728968179537739974577708681222341217155547136 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 719999999999999996480212513224125996905928507926798925824 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -195000000000000009857848023657282814884296903834489549618397360966320644530526171248723863199138362529260461593252848500802187878014811804427531816726331079524352 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000144502874952501674747542855291982291460254179075538486830354667180393605788762000615809377821051018716546053358790530564096 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 x #s(literal -195000000000000009857848023657282814884296903834489549618397360966320644530526171248723863199138362529260461593252848500802187878014811804427531816726331079524352 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 x #s(literal 4400000000000000144502874952501674747542855291982291460254179075538486830354667180393605788762000615809377821051018716546053358790530564096 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 -50000000000000000000 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 2 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 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (*.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 -50000000000000000000 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 2 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 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (/.f64 x (.f64 y #s(literal 1/4 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 -50000000000000000000 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 2 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 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (*.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 -50000000000000000000 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 2 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 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (*.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 -50000000000000000000 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 5000000 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)
#s(literal 1 binary64)

soundness1.2s (11.8%)

Memory

-13.8MiB live, 927.8MiB allocated

Rules

16 484×	`accelerator-lowering-fma.f32`
16 484×	`accelerator-lowering-fma.f64`
14 430×	`accelerator-lowering-fma.f32`
14 430×	`accelerator-lowering-fma.f64`
11 652×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	68	41
2	623	41
0	8483	36
0	212	1865
1	617	1834
2	1792	1759
3	6523	1749
0	8128	1675
0	316	2456
1	933	2413
2	2659	2264
0	8422	2112
0	19	63
1	115	63
2	928	59
0	8406	54
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

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

Compiler

Compiled 396 to 154 computations (61.1% saved)

preprocess72.0ms (0.7%)

Memory: -3.5MiB live, 113.8MiB allocated
Compiler: Compiled 574 to 130 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.4%)

sample1.6s (16.5%)

preprocess623.0ms (6.3%)

explain165.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify240.0ms (2.4%)

localize51.0ms (0.5%)

series15.0ms (0.2%)

rewrite310.0ms (3.1%)

simplify398.0ms (4%)

eval71.0ms (0.7%)

prune61.0ms (0.6%)

simplify389.0ms (4%)

localize67.0ms (0.7%)

series16.0ms (0.2%)

rewrite664.0ms (6.7%)

simplify723.0ms (7.3%)

eval240.0ms (2.4%)

prune146.0ms (1.5%)

simplify137.0ms (1.4%)

localize105.0ms (1.1%)

series14.0ms (0.1%)

rewrite470.0ms (4.8%)

simplify402.0ms (4.1%)

eval141.0ms (1.4%)

prune194.0ms (2%)

simplify78.0ms (0.8%)

localize22.0ms (0.2%)

series2.0ms (0%)

rewrite353.0ms (3.6%)

simplify323.0ms (3.3%)

eval172.0ms (1.7%)

prune119.0ms (1.2%)

regimes23.0ms (0.2%)

regimes38.0ms (0.4%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch61.0ms (0.6%)

bsearch32.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.2%)

soundness1.2s (11.8%)

preprocess72.0ms (0.7%)

end0.0ms (0%)

Profiling