Metrics for Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3

analyze13.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB 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%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (10.8%)

Memory

21.6MiB live, 996.6MiB allocated

Samples

841.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 437.0ms

ival-sub: 256.0ms (58.6% of total)

ival-mult: 111.0ms (25.4% of total)

ival-div: 54.0ms (12.4% of total)

exact: 8.0ms (1.8% of total)

ival-true: 5.0ms (1.1% of total)

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

Bogosity

preprocess335.0ms (3.4%)

Memory

-18.3MiB live, 500.7MiB allocated

Algorithm

2×	egg-herbie

Rules

8 876×	`accelerator-lowering-fma.f32`
8 876×	`accelerator-lowering-fma.f64`
2 550×	`-lowering-.f32`
2 550×	`-lowering-.f64`
1 828×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	72
1	83	66
2	346	66
3	1549	66
4	6701	66
0	9	11
1	23	11
2	67	11
3	164	11
4	525	11
5	2122	11
6	6375	11
0	8038	10

Stop Event

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

Calls

Call 1

Inputs
(/ (* (- 1 x) (- 3 x)) (* y 3))

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

Call 2

Inputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3))
(/ (* (- 1 x) (- 3 x)) (* (neg y) 3))
(neg (/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3)))
(neg (/ (* (- 1 x) (- 3 x)) (* (neg y) 3)))
(/ (* (- 1 y) (- 3 y)) (* x 3))

Outputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(* (- 1 x) (* (/ (- 3 x) y) 1/3))
(/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3))
(* (+ 1 x) (* (/ (- -3 x) y) -1/3))
(/ (* (- 1 x) (- 3 x)) (* (neg y) 3))
(* (- 1 x) (* (/ (- 3 x) y) -1/3))
(neg (/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3)))
(* (+ 1 x) (* (/ (- -3 x) y) 1/3))
(neg (/ (* (- 1 x) (- 3 x)) (* (neg y) 3)))
(* (- 1 x) (* (/ (- 3 x) y) 1/3))
(/ (* (- 1 y) (- 3 y)) (* x 3))
(* (- 1 y) (/ (+ 1 (/ y -3)) x))

Symmetry

(negabs y)

explain90.0ms (0.9%)

Memory

19.6MiB live, 249.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
0	-	-	`(*.f64 y #s(literal 3 binary64))`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`(-.f64 #s(literal 3 binary64) x)`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`	o/n	8	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	59
`/.f64`	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`	o/o	1	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	59
↳	`(*.f64 y #s(literal 3 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions

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

ival-mult: 8.0ms (44.6% of total)

ival-sub: 5.0ms (27.9% of total)

ival-div: 3.0ms (16.7% of total)

exact: 1.0ms (5.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify228.0ms (2.3%)

Memory

-19.6MiB live, 520.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Rules

8 876×	`accelerator-lowering-fma.f32`
8 876×	`accelerator-lowering-fma.f64`
2 550×	`-lowering-.f32`
2 550×	`-lowering-.f64`
1 828×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	23	31
2	67	31
3	164	31
4	525	31
5	2122	31
6	6375	31
0	8038	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(* (- 1 x) (- 3 x))
(- 1 x)
1
x
(- 3 x)
3
(* y 3)
y

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

localize25.0ms (0.3%)

Memory

15.9MiB live, 57.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	96.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (40.5% of total)

ival-mult: 3.0ms (40.5% of total)

ival-div: 2.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Memory

-23.4MiB live, 15.8MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (* (- 1 x) (- 3 x))>
#<alt (/ (* (- 1 x) (- 3 x)) (* y 3))>
#<alt (- 1 x)>
#<alt (- 3 x)>
#<alt (* y 3)>

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

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
0.0ms	x	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
0.0ms	x	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))

rewrite292.0ms (2.9%)

Memory

24.9MiB live, 498.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 254×	`-lowering-.f32`
4 254×	`-lowering-.f64`
4 002×	`/-lowering-/.f32`
4 002×	`/-lowering-/.f64`
1 836×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	54	27
2	428	27
3	7327	27
0	8050	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 743

Calls

Call 1

Inputs
(* (- 1 x) (- 3 x))
(/ (* (- 1 x) (- 3 x)) (* y 3))
(- 1 x)
(- 3 x)
(* y 3)

Outputs
(+.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 x (-.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 x (-.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 x) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 x)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64)) (-.f64 (.f64 x x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (neg.f64 x)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -3 binary64))) (.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x x) x))
(fma.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (.f64 x x) x))
(fma.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x (-.f64 #s(literal 3 binary64) x))
(fma.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) x))
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(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 9 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 27 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x))
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)))
(neg.f64 (*.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 3 binary64) (/.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -3 binary64)))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))

simplify271.0ms (2.7%)

Memory

24.8MiB live, 414.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 634×	`accelerator-lowering-fma.f32`
8 634×	`accelerator-lowering-fma.f64`
3 164×	`-lowering-.f32`
3 164×	`-lowering-.f64`
2 266×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	446
1	216	446
2	543	446
3	1549	418
4	4034	418
5	7651	418
0	8497	384

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval98.0ms (1%)

Memory: -37.9MiB live, 242.3MiB allocated
Compiler: Compiled 17 609 to 2 090 computations (88.1% saved)

prune103.0ms (1%)

Memory

41.2MiB live, 235.6MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	804	11	815
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	805	11	816

Accuracy

100.0%

Counts

816 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	99.6%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
	96.5%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
	42.9%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
	56.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶	56.7%	(/.f64 #s(literal 1 binary64) y)
	46.1%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
▶	64.4%	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
	99.6%	(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
	99.5%	(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/3 binary64) y)))
▶	46.1%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))

Compiler

Compiled 224 to 160 computations (28.6% saved)

simplify307.0ms (3.1%)

Memory

-33.6MiB live, 484.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
✓	cost-diff	320	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	cost-diff	0	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

Rules

12 918×	`accelerator-lowering-fma.f32`
12 918×	`accelerator-lowering-fma.f64`
2 624×	`-lowering-.f32`
2 624×	`-lowering-.f64`
1 702×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
1	57	94
2	120	94
3	250	94
4	705	94
5	2284	94
6	6272	94
0	8107	88

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize105.0ms (1.1%)

Memory

40.8MiB live, 156.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
✓	accuracy	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 y (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))

Samples

67.0ms	234×	0	valid
9.0ms	21×	2	valid
2.0ms	1×	5	exit

Compiler

Compiled 96 to 25 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 37.0ms (59.4% of total)

ival-mult: 12.0ms (19.2% of total)

const: 6.0ms (9.6% of total)

ival-sub: 3.0ms (4.8% of total)

ival-add: 3.0ms (4.8% of total)

adjust: 1.0ms (1.6% of total)

exact: 0.0ms (0% of total)

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

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

series24.0ms (0.2%)

Memory

-4.7MiB live, 35.2MiB allocated

Counts

14 → 252

Calls

Call 1

Inputs
#<alt (/ (- 3 x) (* (/ y (- 1 x)) 3))>
#<alt (* (/ y (- 1 x)) 3)>
#<alt (- 3 x)>
#<alt (/ y (- 1 x))>
#<alt (/ 1 y)>
#<alt (* x (/ (* x 1/3) y))>
#<alt (/ (* x 1/3) y)>
#<alt (* x 1/3)>
#<alt (* (/ 1 y) (+ (* x -4/3) 1))>
#<alt (+ (* x -4/3) 1)>
#<alt (/ (+ (* -4 x) 3) (* y 3))>
#<alt (+ (* -4 x) 3)>
#<alt (* y 3)>
#<alt (- 1 x)>

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* (/ 1 y) (+ (* x -4/3) 1))
3.0ms	y	@	inf	(* (/ y (- 1 x)) 3)
2.0ms	y	@	-inf	(/ y (- 1 x))
1.0ms	y	@	0	(* x (/ (* x 1/3) y))
1.0ms	x	@	0	(* x (/ (* x 1/3) y))

rewrite491.0ms (4.9%)

Memory

9.0MiB live, 604.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 628×	`accelerator-lowering-fma.f32`
5 628×	`accelerator-lowering-fma.f64`
5 302×	`-lowering-.f32`
5 302×	`-lowering-.f64`
4 318×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	133	76
2	1022	76
0	8344	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 928

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (neg.f64 x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (neg.f64 x)) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y))) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y))))
(+.f64 (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 x y) (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(-.f64 #s(literal 0 binary64) (.f64 (+.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) (.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) (.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))))
(-.f64 (/.f64 #s(literal 27 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))))
(-.f64 (/.f64 #s(literal 9 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) x)))) (/.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) x)))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 9 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))) x) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (fma.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) (/.f64 (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (fma.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(-.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (+.f64 #s(literal 3 binary64) x))) (/.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (+.f64 #s(literal 3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x x x) y)) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x x x) y)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x x x) y)) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (neg.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (neg.f64 x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y))) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal -3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y))) (.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1/3 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1/3 binary64) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1/3 binary64) (.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y) (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y)) (neg.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (neg.f64 x) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (+.f64 x #s(literal -1 binary64))))
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(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))))

simplify462.0ms (4.7%)

Memory

-31.7MiB live, 687.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 636×	`accelerator-lowering-fma.f32`
12 636×	`accelerator-lowering-fma.f64`
4 022×	`-lowering-.f32`
4 022×	`-lowering-.f64`
2 706×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1685
1	448	1666
2	1178	1636
3	3474	1526
0	8205	1443

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval144.0ms (1.4%)

Memory: 4.8MiB live, 281.7MiB allocated
Compiler: Compiled 20 267 to 2 514 computations (87.6% saved)

prune180.0ms (1.8%)

Memory

18.8MiB live, 295.3MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 202	7	1 209
Fresh	2	4	6
Picked	3	2	5
Done	0	0	0
Total	1 207	13	1 220

Accuracy

100.0%

Counts

1 220 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	64.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
	96.5%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
	42.9%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
	11.4%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
▶	56.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	56.7%	(/.f64 #s(literal 1 binary64) y)
▶	99.3%	(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x))
▶	46.1%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
▶	46.2%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
	46.1%	(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
	46.2%	(*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64)))
	46.2%	(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Compiler

Compiled 223 to 155 computations (30.5% saved)

simplify440.0ms (4.4%)

Memory

2.8MiB live, 406.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	320	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))
✓	cost-diff	128	(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x))

Rules

12 020×	`accelerator-lowering-fma.f32`
12 020×	`accelerator-lowering-fma.f64`
2 646×	`-lowering-.f32`
2 646×	`-lowering-.f64`
1 600×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	53	92
2	120	92
3	257	92
4	772	92
5	2977	92
6	6894	92
0	8219	85

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize173.0ms (1.7%)

Memory

3.5MiB live, 81.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	accuracy	99.8%	(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.9%	(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.2%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))

Samples

147.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 92 to 23 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-add: 108.0ms (80.7% of total)

ival-mult: 10.0ms (7.5% of total)

const: 6.0ms (4.5% of total)

ival-div: 6.0ms (4.5% of total)

ival-sub: 3.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series25.0ms (0.2%)

Memory

-25.6MiB live, 17.0MiB allocated

Counts

14 → 240

Calls

Call 1

Inputs
#<alt (* (/ (- 3 x) (* 3 y)) (- 1 x))>
#<alt (/ (- 3 x) (* 3 y))>
#<alt (- 3 x)>
#<alt (* 3 y)>
#<alt (/ 3 (* y 3))>
#<alt (* y 3)>
#<alt (/ (+ (* x -4/3) 1) y)>
#<alt (+ (* x -4/3) 1)>
#<alt (* (/ x y) (* x 1/3))>
#<alt (/ x y)>
#<alt (* x 1/3)>
#<alt (* (/ x y) (+ (* x 1/3) -4/3))>
#<alt (+ (* x 1/3) -4/3)>
#<alt (- 1 x)>

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

Calls

60 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(+ (* x 1/3) -4/3)
1.0ms	y	@	0	(* (/ x y) (+ (* x 1/3) -4/3))
1.0ms	y	@	inf	(* (/ x y) (+ (* x 1/3) -4/3))
1.0ms	y	@	inf	(/ (- 3 x) (* 3 y))
0.0ms	y	@	0	(/ (- 3 x) (* 3 y))

rewrite525.0ms (5.3%)

Memory

17.1MiB live, 705.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 806×	`accelerator-lowering-fma.f32`
6 806×	`accelerator-lowering-fma.f64`
5 440×	`-lowering-.f32`
5 440×	`-lowering-.f64`
4 470×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
1	130	72
2	1031	72
0	9064	68

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 141

Calls

Call 1

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

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

simplify378.0ms (3.8%)

Memory

10.4MiB live, 646.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 652×	`accelerator-lowering-fma.f32`
11 652×	`accelerator-lowering-fma.f64`
4 178×	`-lowering-.f32`
4 178×	`-lowering-.f64`
1 516×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1522
1	241	1510
2	603	1510
3	1476	1332
4	4187	1332
0	8132	1224

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval175.0ms (1.8%)

Memory: 4.9MiB live, 439.4MiB allocated
Compiler: Compiled 23 168 to 2 778 computations (88% saved)

prune193.0ms (1.9%)

Memory

-21.3MiB live, 367.3MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 433	4	1 437
Fresh	1	5	6
Picked	1	4	5
Done	0	2	2
Total	1 435	15	1 450

Accuracy

100.0%

Counts

1 450 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	64.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	96.5%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
▶	42.9%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
▶	11.4%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
✓	56.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	56.7%	(/.f64 #s(literal 1 binary64) y)
	46.1%	(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
✓	99.3%	(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x))
✓	46.2%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
	11.4%	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
▶	56.3%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
▶	46.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
	46.2%	(*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64)))
	46.2%	(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Compiler

Compiled 214 to 151 computations (29.4% saved)

simplify345.0ms (3.5%)

Memory

29.8MiB live, 593.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -4/3 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) y)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))

Rules

12 514×	`accelerator-lowering-fma.f32`
12 514×	`accelerator-lowering-fma.f64`
4 278×	`-lowering-.f32`
4 278×	`-lowering-.f64`
1 754×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	59	88
2	149	88
3	460	88
4	1318	88
5	3082	88
6	7132	88
0	8339	83

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize78.0ms (0.8%)

Memory

-27.8MiB live, 167.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	99.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.7%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
✓	accuracy	99.5%	(*.f64 #s(literal -4/3 binary64) x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	accuracy	96.6%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)

Samples

51.0ms

256×

valid

Compiler

Compiled 93 to 25 computations (73.1% saved)

Precisions

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

ival-mult: 15.0ms (41.7% of total)

const: 10.0ms (27.8% of total)

ival-div: 8.0ms (22.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

15 → 240

Calls

Call 1

Inputs
#<alt (* (- 1 x) (+ (* x -1/3) 1))>
#<alt (/ (* (- 1 x) (+ (* x -1/3) 1)) y)>
#<alt (- 1 x)>
#<alt (+ (* x -1/3) 1)>
#<alt (* (/ 1/3 y) 3)>
#<alt (/ 1/3 y)>
#<alt (/ (* -4/3 x) y)>
#<alt (* -4/3 x)>
#<alt (/ (* x x) (* y 3))>
#<alt (* x x)>
#<alt (* y 3)>
#<alt (* (/ 1 y) x)>
#<alt (* (* (/ 1 y) x) (* x 1/3))>
#<alt (/ 1 y)>
#<alt (* x 1/3)>

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

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/ (* (- 1 x) (+ (* x -1/3) 1)) y)
0.0ms	y	@	inf	(/ (* (- 1 x) (+ (* x -1/3) 1)) y)
0.0ms	y	@	-inf	(/ (* (- 1 x) (+ (* x -1/3) 1)) y)
0.0ms	x	@	inf	(/ (* -4/3 x) y)
0.0ms	x	@	inf	(* -4/3 x)

rewrite412.0ms (4.2%)

Memory

-32.0MiB live, 380.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 706×	`-lowering-.f32`
4 706×	`-lowering-.f64`
4 182×	`accelerator-lowering-fma.f32`
4 182×	`accelerator-lowering-fma.f64`
3 240×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	111	71
2	736	71
3	7023	71
0	8237	68

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 118

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))))
(+.f64 (.f64 x #s(literal -1/3 binary64)) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)))
(+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal -1/3 binary64))) (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))))
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(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 x #s(literal -1/3 binary64)))
(neg.f64 (/.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(/.f64 x #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -3 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))

simplify376.0ms (3.8%)

Memory

24.4MiB live, 542.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 462×	`accelerator-lowering-fma.f32`
10 462×	`accelerator-lowering-fma.f64`
3 838×	`-lowering-.f32`
3 838×	`-lowering-.f64`
2 318×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1226
1	198	1226
2	482	1226
3	1145	1202
4	3658	1202
5	6666	1202
0	8273	1151

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval158.0ms (1.6%)

Memory: 22.5MiB live, 364.2MiB allocated
Compiler: Compiled 21 105 to 2 458 computations (88.4% saved)

prune489.0ms (4.9%)

Memory

-28.6MiB live, 259.7MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1 355	3	1 358
Fresh	0	4	4
Picked	1	4	5
Done	0	6	6
Total	1 356	17	1 373

Accuracy

100.0%

Counts

1 373 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
✓	64.4%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	64.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	42.9%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	11.4%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
✓	56.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	56.7%	(/.f64 #s(literal 1 binary64) y)
	46.1%	(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
✓	99.3%	(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x))
✓	46.2%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
	11.4%	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
✓	56.3%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
	56.4%	(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
	11.4%	(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
✓	46.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
	46.2%	(*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64)))
	46.2%	(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Compiler

Compiled 347 to 172 computations (50.4% saved)

regimes49.0ms (0.5%)

Memory

7.0MiB live, 82.6MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/3 binary64) y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

Outputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

Calls

5 calls:

14.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
11.0ms	x
8.0ms	(*.f64 y #s(literal 3 binary64))
7.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
7.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes42.0ms (0.4%)

Memory

4.5MiB live, 86.0MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/3 binary64) y)))

Outputs
(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))

Calls

5 calls:

10.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
9.0ms	x
7.0ms	(*.f64 y #s(literal 3 binary64))
7.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
7.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes35.0ms (0.3%)

Memory

2.4MiB live, 77.5MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64)))

Outputs
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64)))

Calls

5 calls:

8.0ms	x
7.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
6.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
6.0ms	(*.f64 y #s(literal 3 binary64))
6.0ms	y

Results

Accuracy	Segments	Branch
98.8%	2	`x`
96.5%	1	`y`
99.8%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
96.5%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))

Outputs
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Calls

1 calls:

5.0ms

(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes11.0ms (0.1%)

Memory

-17.1MiB live, 22.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))

Calls

2 calls:

5.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
83.8%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.2%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Calls

1 calls:

4.0ms

(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.0%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))

Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))

Calls

1 calls:

3.0ms

(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.0%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes38.0ms (0.4%)

Memory

-11.0MiB live, 32.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)

Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)

Calls

5 calls:

26.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
3.0ms	y
3.0ms	x
3.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
64.4%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
64.4%	1	`y`
64.4%	1	`(*.f64 y #s(literal 3 binary64))`
64.4%	1	`x`
64.4%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes37.0ms (0.4%)

Memory

-11.5MiB live, 27.9MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)

Outputs
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)

Calls

5 calls:

26.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	y
3.0ms	x
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
64.4%	2	`x`
63.7%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
56.7%	1	`y`
63.6%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
56.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)

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

Calls

3 calls:

1.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
1.0ms	x
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
56.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
56.7%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
56.7%	1	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.207031626419916e+48	5.13602860702052e+58

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4597521551184283e+30	1.1631732257788321e+41

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0000223835324356	11788292.425319228

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0000223835324356	11788292.425319228

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0000223835324356	11788292.425319228

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch16.0ms (0.2%)

Memory

-6.5MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-22150155656821.73	-5.595875280415411e-6

Samples

9.0ms

160×

valid

Compiler

Compiled 156 to 124 computations (20.5% saved)

Precisions

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

ival-sub: 2.0ms (43.7% of total)

ival-mult: 2.0ms (43.7% of total)

ival-div: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	169
1	61	169
2	66	169
3	68	169
4	69	169

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 9999999999999999464902769475481793196872414789632 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 2000000000000000039769249677312 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) (.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

Outputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 9999999999999999464902769475481793196872414789632 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 9999999999999999464902769475481793196872414789632 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 2000000000000000039769249677312 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2000000000000000039769249677312 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) (.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 x (/.f64 #s(literal -4/3 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

soundness1.5s (14.7%)

Memory

4.3MiB live, 1 000.1MiB allocated

Rules

12 636×	`accelerator-lowering-fma.f32`
12 636×	`accelerator-lowering-fma.f64`
10 462×	`accelerator-lowering-fma.f32`
10 462×	`accelerator-lowering-fma.f64`
8 634×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	111	71
2	736	71
3	7023	71
0	8237	68
0	23	78
1	133	76
2	1022	76
0	8344	72
0	78	1226
1	198	1226
2	482	1226
3	1145	1202
4	3658	1202
5	6666	1202
0	8273	1151
0	78	446
1	216	446
2	543	446
3	1549	418
4	4034	418
5	7651	418
0	8497	384
0	9	27
1	54	27
2	428	27
3	7327	27
0	8050	27
0	161	1685
1	448	1666
2	1178	1636
3	3474	1526
0	8205	1443

Stop Event

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

Compiler

Compiled 389 to 199 computations (48.8% saved)

preprocess180.0ms (1.8%)

Memory: -15.1MiB live, 183.5MiB allocated
Remove: (negabs y)
Compiler: Compiled 506 to 198 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.1%)

sample1.1s (10.8%)

preprocess335.0ms (3.4%)

explain90.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify228.0ms (2.3%)

localize25.0ms (0.3%)

series22.0ms (0.2%)

rewrite292.0ms (2.9%)

simplify271.0ms (2.7%)

eval98.0ms (1%)

prune103.0ms (1%)

simplify307.0ms (3.1%)

localize105.0ms (1.1%)

series24.0ms (0.2%)

rewrite491.0ms (4.9%)

simplify462.0ms (4.7%)

eval144.0ms (1.4%)

prune180.0ms (1.8%)

simplify440.0ms (4.4%)

localize173.0ms (1.7%)

series25.0ms (0.2%)

rewrite525.0ms (5.3%)

simplify378.0ms (3.8%)

eval175.0ms (1.8%)

prune193.0ms (1.9%)

simplify345.0ms (3.5%)

localize78.0ms (0.8%)

series8.0ms (0.1%)

rewrite412.0ms (4.2%)

simplify376.0ms (3.8%)

eval158.0ms (1.6%)

prune489.0ms (4.9%)

regimes49.0ms (0.5%)

regimes42.0ms (0.4%)

regimes35.0ms (0.3%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes38.0ms (0.4%)

regimes37.0ms (0.4%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.5s (14.7%)

preprocess180.0ms (1.8%)

end0.0ms (0%)

Profiling