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

analyze15.0ms (0.2%)

Memory

-14.2MiB live, 24.9MiB 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)

sample776.0ms (8.1%)

Memory

0.3MiB live, 1 073.3MiB allocated

Samples

520.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-sub: 115.0ms (36.7% of total)

ival-mult: 105.0ms (33.5% of total)

ival-div: 76.0ms (24.3% of total)

exact: 8.0ms (2.6% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess255.0ms (2.7%)

Memory

34.0MiB live, 454.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 876×	`lower-fma.f64`
8 876×	`lower-fma.f32`
2 550×	`lower-*.f32`
2 546×	`lower-*.f64`
1 814×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	76	55
2	327	55
3	1499	55
4	6381	55
0	9	11
0	14	11
1	28	11
2	72	11
3	171	11
4	530	11
5	2133	11
6	6375	11
0	8030	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs y)

explain235.0ms (2.4%)

Memory

-15.2MiB live, 193.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(/.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	13	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	63

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

139.0ms

512×

valid

Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 114.0ms (92.2% of total)

ival-sub: 5.0ms (4% of total)

ival-div: 4.0ms (3.2% of total)

exact: 1.0ms (0.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.0%	(/.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)

simplify268.0ms (2.8%)

Memory

30.4MiB live, 489.3MiB 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×	`lower-fma.f64`
8 876×	`lower-fma.f32`
2 550×	`lower-*.f32`
2 546×	`lower-*.f64`
1 814×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	28	31
2	72	31
3	171	31
4	530	31
5	2133	31
6	6375	31
0	8030	29

Stop Event

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

Calls

Call 1

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

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

localize26.0ms (0.3%)

Memory

-5.9MiB live, 72.9MiB 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	95.0%	(/.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: 8.0ms

ival-sub: 3.0ms (36.1% of total)

ival-mult: 3.0ms (36.1% of total)

ival-div: 2.0ms (24.1% 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

-21.0MiB live, 18.0MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))>
#<alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 y #s(literal 3 binary64))>

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
1.0ms	y	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	-inf	(/ (* (- 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))

rewrite272.0ms (2.8%)

Memory

-9.1MiB live, 526.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 254×	`lower-*.f32`
4 250×	`lower-*.f64`
4 002×	`lower-/.f32`
4 000×	`lower-/.f64`
1 836×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	14	27
1	59	27
2	433	27
3	7340	27
0	8063	27

Stop Event

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

Counts

5 → 743

Calls

Call 1

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

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) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 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 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.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 3 binary64)) (-.f64 (.f64 x x) x))
(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)) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(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 #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 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 3 binary64) x))
(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 (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))
(fma.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x (-.f64 #s(literal 3 binary64) x))
(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 x (fma.f64 x x #s(literal 1 binary64)))) (-.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 x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
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(/.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 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal 27 binary64)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.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 (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))

simplify321.0ms (3.3%)

Memory

16.2MiB live, 392.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 634×	`lower-fma.f64`
8 634×	`lower-fma.f32`
3 164×	`lower-*.f64`
3 164×	`lower-*.f32`
2 266×	`lower--.f64`

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)

eval94.0ms (1%)

Memory: 8.9MiB live, 196.3MiB allocated
Compiler: Compiled 17 609 to 2 089 computations (88.1% saved)

prune111.0ms (1.2%)

Memory

-10.9MiB live, 283.2MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	802	13	815
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	803	13	816

Accuracy

100.0%

Counts

816 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.0%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	55.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	99.8%	(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
	95.2%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
	95.2%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) y)
	47.1%	(/.f64 (.f64 x (+.f64 #s(literal -4 binary64) x)) (.f64 y #s(literal 3 binary64)))
▶	47.0%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
	50.3%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶	50.5%	(/.f64 #s(literal 1 binary64) y)
	99.6%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
	51.7%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	54.9%	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
	51.6%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))

Compiler

Compiled 268 to 190 computations (29.1% saved)

simplify429.0ms (4.5%)

Memory

7.3MiB live, 397.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

11 710×	`lower-fma.f32`
11 706×	`lower-fma.f64`
2 722×	`lower-*.f32`
2 716×	`lower-*.f64`
2 076×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	36	98
1	65	98
2	112	98
3	213	98
4	555	98
5	1887	98
6	5077	97
0	8165	96

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.1%)

Memory

-21.0MiB live, 96.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -4 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	95.0%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.3%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	88.4%	(/.f64 (.f64 x x) (.f64 y #s(literal 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	99.8%	(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))

Samples

52.0ms

256×

valid

Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions

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

ival-mult: 17.0ms (45.9% of total)

ival-div: 9.0ms (24.3% of total)

const: 4.0ms (10.8% of total)

ival-sub: 3.0ms (8.1% of total)

ival-add: 3.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

14 → 228

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))>
#<alt (-.f64 #s(literal 3 binary64) x)>
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 x x)>
#<alt (*.f64 y #s(literal 3 binary64))>
#<alt (/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))>
#<alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))>
#<alt (/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))>
#<alt (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))>
#<alt (+.f64 #s(literal -4 binary64) x)>
#<alt (-.f64 #s(literal 1 binary64) 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>
#<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 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 (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 (/ 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 (/ 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 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<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 -4>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt x>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<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

57 calls:

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

rewrite413.0ms (4.3%)

Memory

-16.0MiB live, 653.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 012×	`lower-fma.f32`
7 008×	`lower-fma.f64`
5 280×	`lower-*.f32`
5 274×	`lower-*.f64`
4 760×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	74
0	36	74
1	159	74
2	1084	74
0	8754	72

Stop Event

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

Counts

14 → 1 148

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x))))
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))))
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(+.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y) (neg.f64 x)) (.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y) #s(literal 3 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y) x))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y)) (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y)))
(+.f64 (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y)) (.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)) (.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y) (.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (.f64 (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (.f64 (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (neg.f64 x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal -1/3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (.f64 (neg.f64 (.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal -1/3 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) x)))
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(.f64 (neg.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (+.f64 x #s(literal -4 binary64)) (.f64 #s(literal -3 binary64) x) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64))))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))))
(+.f64 x #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) x)
(+.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -4 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -4 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (+.f64 #s(literal 4 binary64) x)))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 16 binary64)) (.f64 x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (.f64 x #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 16 binary64)) (.f64 x #s(literal -4 binary64)))))
(/.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (+.f64 #s(literal 4 binary64) x))
(/.f64 (fma.f64 x x #s(literal -16 binary64)) (+.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (.f64 (-.f64 #s(literal -4 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 4 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -16 binary64))) (neg.f64 (+.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal -4 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal -4 binary64) x)) (.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal -4 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal -4 binary64) x)))) (+.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -4 binary64) x))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal -4 binary64)))))
(.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x)))
(.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))))
(.f64 (+.f64 #s(literal -16 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 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 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (+.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) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) #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 (.f64 x x))) (neg.f64 (neg.f64 (+.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.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))))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 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 (-.f64 #s(literal 1 binary64) (.f64 x (*.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 x)) #s(literal 1 binary64)) (+.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 #s(literal -1 binary64) (+.f64 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 x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))))

simplify455.0ms (4.7%)

Memory

5.4MiB live, 642.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 482×	`lower-fma.f64`
11 482×	`lower-fma.f32`
3 600×	`lower-*.f64`
3 600×	`lower-*.f32`
3 012×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1529
1	408	1518
2	1035	1464
3	3196	1452
4	7915	1452
0	8202	1339

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 225

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

eval180.0ms (1.9%)

Memory: -0.0MiB live, 398.4MiB allocated
Compiler: Compiled 24 894 to 2 664 computations (89.3% saved)

prune175.0ms (1.8%)

Memory

-2.2MiB live, 450.3MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 417	10	1 427
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	1 424	16	1 440

Accuracy

100.0%

Counts

1 440 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
✓	95.0%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
	54.9%	(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
✓	55.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
	95.2%	(/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y)
	51.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x))
	8.3%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
▶	50.3%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	50.5%	(/.f64 #s(literal 1 binary64) y)
▶	54.9%	(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
	51.7%	(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
	51.7%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
▶	51.6%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
	47.0%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
	51.3%	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
▶	51.6%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))

Compiler

Compiled 265 to 185 computations (30.2% saved)

simplify785.0ms (8.2%)

Memory

26.2MiB live, 1 042.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

40 642×	`lower-fma.f32`
40 636×	`lower-fma.f64`
3 992×	`lower-*.f32`
3 982×	`lower-*.f64`
3 980×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	88
0	34	90
1	60	84
2	94	84
3	146	84
4	242	84
5	419	84
6	993	84
7	2222	84
8	3332	84
9	4415	84
10	4550	84
11	4572	84
12	4572	84
13	5364	84
14	5425	84
15	5425	84
16	5547	84
17	5596	84
18	5606	84
19	5606	84
0	8108	84

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.8%)

Memory

10.9MiB live, 139.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 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 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
✓	accuracy	99.8%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓	accuracy	95.2%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)

Samples

52.0ms

256×

valid

Compiler

Compiled 97 to 23 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 12.0ms (37.4% of total)

ival-div: 8.0ms (24.9% of total)

const: 8.0ms (24.9% of total)

ival-add: 4.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-14.1MiB live, 22.8MiB allocated

Counts

13 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* x 1/3) -4/3)
1.0ms	y	@	0	(/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)
0.0ms	y	@	0	(* (+ (* -4/3 x) 1) (/ 1 y))
0.0ms	y	@	0	(/ (* x 1/3) y)
0.0ms	y	@	inf	(/ (* x 1/3) y)

rewrite320.0ms (3.3%)

Memory

4.1MiB live, 580.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 234×	`lower-fma.f32`
6 228×	`lower-fma.f64`
5 746×	`lower-*.f32`
5 736×	`lower-*.f64`
4 442×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	68
0	34	68
1	128	64
2	820	64
0	8320	64

Stop Event

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

Counts

13 → 1 091

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 (.f64 x #s(literal -4/3 binary64)) y))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 x #s(literal -4/3 binary64)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) y) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x y) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) (/.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y) #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 3 binary64) x)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) y) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x x) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))
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(*.f64 (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) y))
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(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(.f64 (.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))
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(-.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))))
(neg.f64 (fma.f64 x #s(literal 4/3 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16/9 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))
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(/.f64 (.f64 (fma.f64 #s(literal 256/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))))
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(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)))) (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 4096/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))) (fma.f64 #s(literal 4096/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 64/27 binary64) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 4096/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))) (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 4096/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal 256/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 16/9 binary64) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 #s(literal 256/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal 16/9 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64))))))
(.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/3 binary64))
(/.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) y)) #s(literal -3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) y) #s(literal 1 binary64)) #s(literal -3 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.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 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) y))
(.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1/3 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))

simplify645.0ms (6.7%)

Memory

1.2MiB live, 268.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 422×	`lower-fma.f64`
7 422×	`lower-fma.f32`
2 818×	`lower-*.f64`
2 818×	`lower-*.f32`
1 480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1388
1	191	1388
2	483	1380
3	1234	1296
4	3198	1260
5	5983	1260
0	8075	1167

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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

eval410.0ms (4.3%)

Memory: 15.8MiB live, 245.8MiB allocated
Compiler: Compiled 21 952 to 2 381 computations (89.2% saved)

prune256.0ms (2.7%)

Memory

-11.5MiB live, 354.4MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1 333	7	1 340
Fresh	3	5	8
Picked	0	5	5
Done	0	3	3
Total	1 336	20	1 356

Accuracy

100.0%

Counts

1 356 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.2%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
✓	95.0%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	54.9%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	55.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	95.2%	(/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y)
	47.1%	(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
	51.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x))
	8.3%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
✓	50.3%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	50.5%	(/.f64 #s(literal 1 binary64) y)
▶	50.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
✓	54.9%	(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
	51.7%	(.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)
✓	51.6%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
	50.2%	(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
▶	47.0%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
▶	50.1%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
	51.3%	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
	51.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
✓	51.6%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))

Compiler

Compiled 283 to 203 computations (28.3% saved)

simplify18.0ms (0.2%)

Memory

-3.2MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

322×	`lower-fma.f32`
318×	`lower-fma.f64`
222×	`lower-*.f32`
212×	`lower-*.f64`
100×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	33	79
1	56	79
2	86	79
3	140	79
4	206	79
5	240	79
6	279	79
7	303	79
8	308	79
0	308	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (0.8%)

Memory

-15.5MiB live, 181.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	88.3%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
✓	accuracy	99.8%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	accuracy	99.7%	(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/3 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.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%	(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -4 binary64))
✓	accuracy	99.8%	(*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	95.2%	(/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y)

Samples

48.0ms

256×

valid

Compiler

Compiled 90 to 23 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34.9% of total)

const: 9.0ms (28.6% of total)

ival-div: 6.0ms (19% of total)

ival-add: 4.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

12 → 180

Calls

Call 1

Inputs
#<alt (*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y)>
#<alt (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))>
#<alt (+.f64 x #s(literal -4 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1/3 binary64) y)>
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))>
#<alt (*.f64 y #s(literal 1/3 binary64))>
#<alt (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)>
#<alt (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))>
#<alt (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))>
#<alt (*.f64 x x)>

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

Calls

45 calls:

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

rewrite515.0ms (5.4%)

Memory

27.0MiB live, 624.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 334×	`lower-*.f32`
5 324×	`lower-*.f64`
4 912×	`lower-fma.f32`
4 908×	`lower-fma.f64`
4 514×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	63
0	33	59
1	119	59
2	734	59
0	8356	59

Stop Event

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

Counts

12 → 1 124

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -4 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (.f64 x x) (.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x x) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 3 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -4 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) x (.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) x (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (+.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4 binary64))) x #s(literal 1 binary64))
(neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) (.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal -9 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))))) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal -3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)) #s(literal 1/3 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal -9 binary64)) #s(literal 1/3 binary64)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))))) #s(literal 9 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal -3 binary64)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64))) #s(literal 1/3 binary64)) (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal -9 binary64))) #s(literal 1/3 binary64)) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal -9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))))) #s(literal 9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal -9 binary64)))) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 9 binary64) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))))) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal -9 binary64)) #s(literal 1/3 binary64))) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -4 binary64)))))) #s(literal 9 binary64))) (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64))))) #s(literal -3 binary64))) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64))))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)) (.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
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(.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 4/3 binary64) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 16/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 16/9 binary64)))) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 4096/729 binary64)))) (fma.f64 (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 16/9 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 256/81 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal -4/3 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal -4/3 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 16/9 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 16/9 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 64/27 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x #s(literal 16/9 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) (.f64 x x)))
(neg.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1/3 binary64) y)))
(neg.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (neg.f64 y)))
(neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (.f64 #s(literal 1/3 binary64) (.f64 x x))) #s(literal 1 binary64)))
(/.f64 (.f64 x x) (.f64 #s(literal 3 binary64) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64))
(/.f64 (neg.f64 (.f64 x x)) (.f64 y #s(literal -3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64))) y)
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1/3 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) y)
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 1/3 binary64) x)) y)
(/.f64 (.f64 x (.f64 #s(literal -1/3 binary64) x)) (neg.f64 y))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 y #s(literal -3 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) #s(literal -1/3 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 y #s(literal -3 binary64)))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 y (.f64 #s(literal 1/3 binary64) (.f64 x x))) #s(literal -1 binary64))
(.f64 x (/.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x x) y))
(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) y))
(.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) y))
(.f64 #s(literal -1/3 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x x)))
(.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x x) (neg.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1/3 binary64) x) (/.f64 x y))
(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1/9 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 x y))
(.f64 (.f64 (*.f64 x x) (/.f64 #s(literal 1/9 binary64) y)) #s(literal 3 binary64))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) y))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal -3 binary64) y))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (/.f64 (.f64 x x) (neg.f64 y)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify326.0ms (3.4%)

Memory

2.3MiB live, 476.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 240×	`lower-fma.f64`
10 240×	`lower-fma.f32`
3 008×	`lower-*.f64`
3 008×	`lower-*.f32`
1 578×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1146
1	258	1146
2	654	1130
3	1810	1022
4	5245	986
0	8045	899

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

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

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

eval211.0ms (2.2%)

Memory: -19.0MiB live, 354.6MiB allocated
Compiler: Compiled 24 514 to 2 733 computations (88.9% saved)

prune171.0ms (1.8%)

Memory

-11.3MiB live, 378.7MiB allocated

Pruning

20 alts after pruning (7 fresh and 13 done)

	Pruned	Kept	Total
New	1 343	0	1 343
Fresh	0	7	7
Picked	0	5	5
Done	0	8	8
Total	1 343	20	1 363

Accuracy

100.0%

Counts

1 363 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.2%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
✓	95.0%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	54.9%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	55.2%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	95.2%	(/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y)
	47.1%	(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
	51.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x))
	8.3%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
✓	50.3%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	50.5%	(/.f64 #s(literal 1 binary64) y)
✓	50.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
✓	54.9%	(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
	51.7%	(.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)
✓	51.6%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
	50.2%	(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
✓	47.0%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
✓	50.1%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
	51.3%	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
	51.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
✓	51.6%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))

Compiler

Compiled 417 to 203 computations (51.3% saved)

regimes77.0ms (0.8%)

Memory

14.1MiB live, 88.7MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

34.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
14.0ms	x
9.0ms	y
9.0ms	(*.f64 y #s(literal 3 binary64))
8.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes46.0ms (0.5%)

Memory

20.4MiB live, 97.9MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	y
9.0ms	(*.f64 y #s(literal 3 binary64))
9.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
8.0ms	x
8.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

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)

regimes50.0ms (0.5%)

Memory

-33.4MiB live, 96.3MiB allocated

Counts

26 → 2

Calls

Call 1

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

Calls

5 calls:

16.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
10.0ms	x
9.0ms	(*.f64 y #s(literal 3 binary64))
8.0ms	y
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
98.4%	2	`x`
95.2%	1	`y`
99.9%	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))`
95.2%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory

9.7MiB live, 47.3MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
5.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
98.4%	3	`x`
79.7%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
98.4%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes5.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
(.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)
(/.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 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(.f64 (/.f64 x (.f64 #s(literal 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
98.1%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

-27.1MiB live, 12.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.1%	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

12.1MiB live, 12.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (0.2%)

Memory

3.4MiB live, 45.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.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
54.9%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
54.9%	1	`y`
54.9%	1	`(*.f64 y #s(literal 3 binary64))`
54.9%	1	`x`
54.9%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

-0.4MiB live, 39.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
55.2%	2	`x`
50.5%	1	`y`
50.5%	1	`(*.f64 y #s(literal 3 binary64))`
54.3%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
54.4%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

-18.0MiB live, 20.9MiB allocated

Accuracy

Total -0.3b remaining (-1.1%)

Threshold costs -0.3b (-1.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
50.5%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
50.5%	1	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5420411946357134e+88	5.7456696897688924e+97

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.016938468508654	28.501331021479352

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.016938468508654	28.501331021479352

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.016938468508654	28.501331021479352

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.016938468508654	28.501331021479352

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch14.0ms (0.1%)

Memory

32.0MiB live, 32.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-5535.187776942559	-0.004230143598447754

Samples

7.0ms

144×

valid

Compiler

Compiled 142 to 113 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (48.2% of total)

ival-sub: 1.0ms (24.1% of total)

ival-div: 1.0ms (24.1% 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

-17.0MiB live, 21.5MiB 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	43	162
1	59	162
2	64	162
3	66	162
4	67	162

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.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 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 (/.f64 x (*.f64 #s(literal 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 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

Outputs
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
(.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.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 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.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 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 (/.f64 x (*.f64 #s(literal 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 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 x (*.f64 #s(literal 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 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y) (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

soundness1.3s (13.2%)

Memory

5.9MiB live, 841.6MiB allocated

Rules

11 482×	`lower-fma.f64`
11 482×	`lower-fma.f32`
8 634×	`lower-fma.f64`
8 634×	`lower-fma.f32`
7 012×	`lower-fma.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
0	9	27
0	14	27
1	59	27
2	433	27
3	7340	27
0	8063	27
0	20	74
0	36	74
1	159	74
2	1084	74
0	8754	72
0	145	1529
1	408	1518
2	1035	1464
3	3196	1452
4	7915	1452
0	8202	1339

Stop Event

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

Compiler

Compiled 404 to 207 computations (48.8% saved)

preprocess82.0ms (0.9%)

Memory: -7.2MiB live, 192.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 492 to 194 computations (60.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	83
0	33	79
1	56	79
2	86	79
3	140	79
4	206	79
5	240	79
6	279	79
7	303	79
8	308	79
0	308	77

Iter	Nodes	Cost
0	19	83
0	33	79
1	56	79
2	86	79
3	140	79
4	206	79
5	240	79
6	279	79
7	303	79
8	308	79
0	308	77

analyze15.0ms (0.2%)

sample776.0ms (8.1%)

preprocess255.0ms (2.7%)

explain235.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify268.0ms (2.8%)

localize26.0ms (0.3%)

series8.0ms (0.1%)

rewrite272.0ms (2.8%)

simplify321.0ms (3.3%)

eval94.0ms (1%)

prune111.0ms (1.2%)

simplify429.0ms (4.5%)

localize106.0ms (1.1%)

series18.0ms (0.2%)

rewrite413.0ms (4.3%)

simplify455.0ms (4.7%)

eval180.0ms (1.9%)

prune175.0ms (1.8%)

simplify785.0ms (8.2%)

localize77.0ms (0.8%)

series14.0ms (0.1%)

rewrite320.0ms (3.3%)

simplify645.0ms (6.7%)

eval410.0ms (4.3%)

prune256.0ms (2.7%)

simplify18.0ms (0.2%)

localize75.0ms (0.8%)

series4.0ms (0%)

rewrite515.0ms (5.4%)

simplify326.0ms (3.4%)

eval211.0ms (2.2%)

prune171.0ms (1.8%)

regimes77.0ms (0.8%)

regimes46.0ms (0.5%)

regimes50.0ms (0.5%)

regimes20.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.3s (13.2%)

preprocess82.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	83
0	33	79
1	56	79
2	86	79
3	140	79
4	206	79
5	240	79
6	279	79
7	303	79
8	308	79
0	308	77