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

analyze14.0ms (0.1%)

Memory

-3.8MiB live, 35.3MiB 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)

sample736.0ms (7.4%)

Memory

67.0MiB live, 1 315.0MiB allocated

Samples

496.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-sub: 129.0ms (42.4% of total)

ival-mult: 98.0ms (32.2% of total)

ival-div: 59.0ms (19.4% of total)

exact: 9.0ms (3% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

preprocess314.0ms (3.1%)

Memory

-17.9MiB live, 370.0MiB 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)

explain205.0ms (2%)

Memory

27.2MiB live, 142.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(/.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	23	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	72

Confusion

	Predicted +	Predicted -
+	23	0
-	0	233

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	0
-	0	0	233

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.2% of total)

ival-sub: 5.0ms (31.9% of total)

ival-div: 3.0ms (19.1% of total)

exact: 1.0ms (6.4% 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify257.0ms (2.6%)

Memory

-32.5MiB live, 338.1MiB 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

localize27.0ms (0.3%)

Memory

8.1MiB live, 46.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	91.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Samples

15.0ms

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 (38.6% of total)

ival-mult: 3.0ms (38.6% of total)

ival-div: 2.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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))

rewrite293.0ms (2.9%)

Memory

14.1MiB live, 444.1MiB 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)))
(fma.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 x (-.f64 x #s(literal 3 binary64))))
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(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 9 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (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))

simplify404.0ms (4%)

Memory

-8.1MiB live, 483.1MiB 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)

eval98.0ms (1%)

Memory: 3.3MiB live, 268.8MiB allocated
Compiler: Compiled 17 609 to 2 089 computations (88.1% saved)

prune104.0ms (1%)

Memory

10.1MiB live, 328.3MiB 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
▶	91.3%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	54.0%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
	91.5%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
	44.3%	(/.f64 (.f64 x (+.f64 #s(literal -4 binary64) x)) (.f64 y #s(literal 3 binary64)))
▶	43.6%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
	49.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶	49.8%	(/.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))
	52.6%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	54.2%	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
	99.6%	(.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
	99.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
	52.0%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))

Compiler

Compiled 268 to 190 computations (29.1% saved)

simplify271.0ms (2.7%)

Memory

-4.1MiB live, 507.8MiB 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	128	(/.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 #s(literal 3 binary64) y)
✓	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) y)) (-.f64 #s(literal 3 binary64) x))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))

Rules

10 902×	`lower-fma.f32`
10 898×	`lower-fma.f64`
2 168×	`lower-*.f32`
2 160×	`lower-*.f64`
1 616×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	35	98
1	71	98
2	132	98
3	268	98
4	743	98
5	2631	96
6	6535	96
0	8036	95

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

localize110.0ms (1.1%)

Memory

-14.0MiB live, 147.6MiB 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	91.3%	(/.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	99.7%	(/.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	86.7%	(/.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 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))

Samples

68.0ms

256×

valid

Compiler

Compiled 99 to 23 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 35.0ms (64.4% of total)

ival-mult: 8.0ms (14.7% of total)

ival-add: 7.0ms (12.9% of total)

ival-sub: 3.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

32.9MiB live, 32.9MiB allocated

Counts

13 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/ (+ (* x (+ -4 x)) 3) (* y 3))
1.0ms	y	@	-inf	(/ (- 1 x) (* 3 y))
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))

rewrite367.0ms (3.7%)

Memory

-30.2MiB live, 730.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 808×	`lower-fma.f32`
6 804×	`lower-fma.f64`
5 168×	`lower-*.f32`
5 160×	`lower-*.f64`
4 258×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	71
0	35	71
1	161	71
2	1112	71
0	8616	71

Stop Event

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

Counts

13 → 862

Calls

Call 1

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

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

simplify288.0ms (2.9%)

Memory

16.1MiB live, 366.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 054×	`lower-fma.f64`
8 054×	`lower-fma.f32`
3 228×	`lower-*.f64`
3 228×	`lower-*.f32`
1 546×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1450
1	281	1450
2	744	1418
3	2104	1336
4	6579	1336
0	8156	1212

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

Calls

Call 1

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

Outputs
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1/3 (/ x y))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) y)
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1/3 (/ x y))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #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 y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
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3
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eval137.0ms (1.4%)

Memory: -4.1MiB live, 260.2MiB allocated
Compiler: Compiled 18 660 to 2 282 computations (87.8% saved)

prune175.0ms (1.8%)

Memory

-8.0MiB live, 309.2MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	1 115	11	1 126
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	1 125	14	1 139

Accuracy

100.0%

Counts

1 139 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.5%	(/.f64 (fma.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
	54.2%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
▶	44.3%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	8.4%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
▶	43.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
▶	49.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	49.8%	(/.f64 #s(literal 1 binary64) y)
	91.2%	(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
	99.5%	(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
	52.1%	(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
	52.6%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	52.0%	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
▶	52.0%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
▶	99.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 3 binary64) x)))

Compiler

Compiled 263 to 188 computations (28.5% saved)

simplify684.0ms (6.9%)

Memory

-11.3MiB live, 506.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

17 632×	`lower-fma.f64`
17 632×	`lower-fma.f32`
3 630×	`lower-*.f32`
3 612×	`lower-*.f64`
1 604×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	109
0	40	107
1	79	103
2	173	103
3	504	103
4	1968	103
5	5859	103
0	8269	101

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (1.3%)

Memory

32.7MiB live, 111.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -4 binary64)))
✓	accuracy	91.3%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	86.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	99.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 3 binary64) x)))

Samples

99.0ms

256×

valid

Compiler

Compiled 111 to 25 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-sub: 49.0ms (58.5% of total)

ival-div: 17.0ms (20.3% of total)

ival-mult: 12.0ms (14.3% of total)

const: 3.0ms (3.6% of total)

ival-add: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.3%)

Memory

-18.2MiB live, 20.5MiB allocated

Counts

15 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
22.0ms	y	@	inf	(* (/ 1 y) (- 3 x))
1.0ms	y	@	inf	(/ (* x (+ x -4)) (* y 3))
1.0ms	y	@	0	(/ (* x (+ x -4)) (* y 3))
0.0ms	y	@	0	(* (/ 1/3 y) x)
0.0ms	y	@	inf	(* (/ 1/3 y) x)

rewrite293.0ms (2.9%)

Memory

-12.7MiB live, 502.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 802×	`lower-*.f32`
4 784×	`lower-*.f64`
4 176×	`lower-/.f32`
4 166×	`lower-/.f64`
3 104×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	83
0	40	83
1	147	77
2	826	77
3	7639	77
0	8202	75

Stop Event

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

Counts

15 → 1 220

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 3 binary64) y))
(-.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y))
(-.f64 (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) y) (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) y))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) x)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) y) (/.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64) (/.f64 (neg.f64 x) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x) (/.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 x) y))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 x)) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 9 binary64) (/.f64 (neg.f64 x) y))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (/.f64 (neg.f64 x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (/.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x)) (/.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/3 binary64) y) (/.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(fma.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x (/.f64 #s(literal 3 binary64) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64) (/.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal -9 binary64) (/.f64 #s(literal -1/3 binary64) y) (/.f64 (neg.f64 x) y))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) y))
(fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 3 binary64) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 9 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (+.f64 #s(literal 3 binary64) x))) (+.f64 #s(literal -9 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (*.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (*.f64 y (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 y (+.f64 #s(literal 3 binary64) x)))
(/.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (neg.f64 (*.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (*.f64 y (neg.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))))
(/.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (neg.f64 (.f64 y (+.f64 #s(literal 3 binary64) x))))
(/.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 y (+.f64 #s(literal -3 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (neg.f64 y))
(/.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) y) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y) (+.f64 #s(literal 3 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (.f64 x x))) (neg.f64 (neg.f64 (.f64 y (+.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) y)) (neg.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (+.f64 #s(literal -3 binary64) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 3 binary64) y) (-.f64 (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (neg.f64 x) y)))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (.f64 y #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (.f64 y #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (neg.f64 (.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (.f64 x x))) (neg.f64 (*.f64 y (+.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 #s(literal -3 binary64) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -3 binary64) y)) #s(literal -3 binary64))
(/.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) y) (-.f64 #s(literal 3 binary64) x)) #s(literal -3 binary64))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -3 binary64) (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 y #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (neg.f64 (.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (neg.f64 (*.f64 y (+.f64 #s(literal 3 binary64) x)))))
(.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) y))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 3 binary64) x))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)) y))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 #s(literal 3 binary64) x)))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) (fma.f64 x #s(literal -1/3 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 (.f64 y (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))))
(.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (+.f64 #s(literal 3 binary64) x)))))
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 3 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) y))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) (.f64 y #s(literal 1/3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 1/3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)) #s(literal -1 binary64))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 y #s(literal -3 binary64))) #s(literal -3 binary64))
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(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) #s(literal 64 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64)))))
(neg.f64 (+.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.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 #s(literal -4 binary64) x) (-.f64 #s(literal 16 binary64) (*.f64 x x))))
(/.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 x #s(literal -16 binary64)) (+.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 x (*.f64 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 x (neg.f64 x) #s(literal 16 binary64)) (+.f64 (neg.f64 x) #s(literal -4 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -262144 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -64 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 x (.f64 x x) #s(literal 64 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096 binary64)) (.f64 (+.f64 x #s(literal 4 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 4 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 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 (fma.f64 x (neg.f64 x) #s(literal 16 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -4 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64)))))
(/.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)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -16 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -262144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -64 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))) (fma.f64 x (.f64 x x) #s(literal 64 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64)))) (fma.f64 x x #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 x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 x (.f64 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 (fma.f64 x (neg.f64 x) #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 x (.f64 x x) #s(literal -64 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))) (fma.f64 x x #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 (/.f64 (fma.f64 x x #s(literal -16 binary64)) (fma.f64 x x #s(literal -16 binary64))) (+.f64 x #s(literal -4 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 16 binary64)) (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 16 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 16 binary64)))))) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 16 binary64)) (-.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 16 binary64)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 (fma.f64 x x #s(literal -16 binary64)) (.f64 x #s(literal -4 binary64))))) (+.f64 (fma.f64 x x #s(literal -16 binary64)) (*.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -16 binary64)) (fma.f64 x (.f64 x x) #s(literal 64 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4 binary64) #s(literal 16 binary64))))

simplify346.0ms (3.5%)

Memory

13.7MiB live, 689.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 778×	`lower-fma.f64`
12 778×	`lower-fma.f32`
3 564×	`lower-*.f64`
3 564×	`lower-*.f32`
1 724×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1510
1	232	1510
2	584	1510
3	1543	1406
4	4322	1406
0	8233	1349

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

Outputs
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ 3 y)
(/.f64 #s(literal 3 binary64) y)
(+ (* -1 (/ x y)) (* 3 (/ 1 y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(+ (* -1 (/ x y)) (* 3 (/ 1 y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(+ (* -1 (/ x y)) (* 3 (/ 1 y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* -1 (/ x y))
(neg.f64 (/.f64 x y))
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* -1 (/ x y))
(neg.f64 (/.f64 x y))
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 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))
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eval187.0ms (1.9%)

Memory: 3.7MiB live, 519.9MiB allocated
Compiler: Compiled 21 354 to 2 597 computations (87.8% saved)

prune189.0ms (1.9%)

Memory

-13.5MiB live, 481.3MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 499	8	1 507
Fresh	2	6	8
Picked	1	4	5
Done	0	1	1
Total	1 502	19	1 521

Accuracy

100.0%

Counts

1 521 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.5%	(/.f64 (fma.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
	54.2%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
▶	44.3%	(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
✓	44.3%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	8.4%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓	43.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
✓	49.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	49.8%	(/.f64 #s(literal 1 binary64) y)
▶	49.6%	(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
	91.2%	(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
▶	99.8%	(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
	52.1%	(.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)
	52.6%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	8.4%	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
	49.5%	(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
▶	49.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
▶	52.0%	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
✓	52.0%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
	52.0%	(.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y #s(literal 1/3 binary64))) x) x)

Compiler

Compiled 295 to 213 computations (27.8% saved)

simplify379.0ms (3.8%)

Memory

13.8MiB live, 521.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

15 472×	`lower-fma.f32`
15 468×	`lower-fma.f64`
4 326×	`lower-*.f32`
4 314×	`lower-*.f64`
1 564×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	88
0	37	84
1	67	84
2	104	84
3	162	84
4	338	84
5	767	84
6	1773	84
7	4552	84
0	8033	83

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (0.8%)

Memory

-9.7MiB live, 154.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓	accuracy	99.7%	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
✓	accuracy	91.3%	(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(*.f64 (/.f64 x y) x)
✓	accuracy	99.7%	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/3 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
✓	accuracy	99.8%	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))

Samples

51.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 90 to 25 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35% of total)

const: 9.0ms (26.2% of total)

ival-div: 8.0ms (23.3% of total)

ival-add: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

14 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/ (* x (+ (* x 1/3) -4/3)) y)
1.0ms	y	@	0	(* (/ (+ (* x -1/3) 1) y) (- 1 x))
1.0ms	y	@	0	(/ (* x (+ (* x 1/3) -4/3)) y)
0.0ms	x	@	0	(/ (* x (+ (* x 1/3) -4/3)) y)
0.0ms	y	@	inf	(* (/ (+ (* x -1/3) 1) y) (- 1 x))

rewrite324.0ms (3.2%)

Memory

-13.2MiB live, 452.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 586×	`lower-fma.f32`
6 582×	`lower-fma.f64`
4 804×	`lower-*.f32`
4 792×	`lower-*.f64`
3 762×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	72
0	37	68
1	128	68
2	837	68
3	7495	68
0	8063	68

Stop Event

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

Counts

14 → 991

Calls

Call 1

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

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

simplify320.0ms (3.2%)

Memory

30.7MiB live, 504.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 142×	`lower-fma.f64`
12 142×	`lower-fma.f32`
3 776×	`lower-*.f64`
3 776×	`lower-*.f32`
1 632×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1484
1	198	1472
2	488	1380
3	1154	1338
4	3780	1338
5	7303	1338
0	8106	1242

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval288.0ms (2.9%)

Memory: -30.2MiB live, 224.0MiB allocated
Compiler: Compiled 18 862 to 2 480 computations (86.9% saved)

prune644.0ms (6.5%)

Memory

20.3MiB live, 256.8MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1 230	1	1 231
Fresh	1	8	9
Picked	0	5	5
Done	0	5	5
Total	1 231	19	1 250

Accuracy

100.0%

Counts

1 250 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.5%	(/.f64 (fma.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
	54.2%	(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓	44.3%	(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
✓	44.3%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	8.4%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓	43.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
✓	49.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	49.8%	(/.f64 #s(literal 1 binary64) y)
✓	49.6%	(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
	91.2%	(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
	52.6%	(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
✓	99.8%	(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
	52.1%	(.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)
	8.4%	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
	49.5%	(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
✓	49.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
✓	52.0%	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
✓	52.0%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
	52.0%	(.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y #s(literal 1/3 binary64))) x) x)

Compiler

Compiled 441 to 210 computations (52.4% saved)

regimes133.0ms (1.3%)

Memory

-22.4MiB live, 57.3MiB allocated

Counts

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

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

Calls

5 calls:

61.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
43.0ms	x
10.0ms	(*.f64 y #s(literal 3 binary64))
10.0ms	y
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)

regimes38.0ms (0.4%)

Memory

27.2MiB live, 65.1MiB allocated

Counts

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

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

Calls

5 calls:

10.0ms	y
7.0ms	(*.f64 y #s(literal 3 binary64))
7.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
7.0ms	x
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
99.5%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes37.0ms (0.4%)

Memory

13.8MiB live, 89.4MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.9%	3	`x`
95.1%	2	`y`
99.8%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
95.1%	2	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes15.0ms (0.2%)

Memory

-16.6MiB live, 24.3MiB 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 (/.f64 x y) #s(literal -4/3 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 x #s(literal -4/3 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 #s(literal 1/3 binary64) y) x) x)
(.f64 (.f64 (/.f64 x y) 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 #s(literal 1/3 binary64) (.f64 x x)) y)
(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (*.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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
83.7%	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 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

17 → 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 (/.f64 x y) #s(literal -4/3 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 x #s(literal -4/3 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 #s(literal 1/3 binary64) y) x) x)
(.f64 (.f64 (/.f64 x y) 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 #s(literal 1/3 binary64) (.f64 x x)) y)
(/.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)))

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes11.0ms (0.1%)

Memory

-13.9MiB live, 24.8MiB 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 (/.f64 x y) #s(literal -4/3 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 x #s(literal -4/3 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 #s(literal 1/3 binary64) y) x) x)
(.f64 (.f64 (/.f64 x y) 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 #s(literal 1/3 binary64) (.f64 x x)) y)
(/.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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.6%	3	`x`
97.5%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB 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 (/.f64 x y) #s(literal -4/3 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 x #s(literal -4/3 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 #s(literal 1/3 binary64) y) x) x)
(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

10 → 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 (/.f64 x y) #s(literal -4/3 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 x #s(literal -4/3 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 #s(literal 1/3 binary64) y) x) x)

Outputs
(/.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))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes17.0ms (0.2%)

Memory

5.2MiB live, 40.8MiB 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 (/.f64 x y) #s(literal -4/3 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 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)

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

Calls

5 calls:

4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
3.0ms	x
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	y
3.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
54.2%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
54.2%	1	`y`
54.2%	1	`(*.f64 y #s(literal 3 binary64))`
54.2%	1	`x`
54.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory

-48.9MiB live, 47.2MiB allocated

Counts

7 → 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 (/.f64 x y) #s(literal -4/3 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 x #s(literal -4/3 binary64)) y)

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

Calls

5 calls:

8.0ms	y
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
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)))
3.0ms	x

Results

Accuracy	Segments	Branch
49.8%	1	`y`
49.8%	1	`(*.f64 y #s(literal 3 binary64))`
53.9%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
54.6%	2	`x`
53.8%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts

3 → 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))

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

Calls

3 calls:

2.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
2.0ms	x
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
49.8%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
49.8%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
49.8%	1	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.99724594943966e+34	2.40010166413822e+40

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	3.131290791071759	29.378299111967344

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	3.131290791071759	29.378299111967344

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	3.131290791071759	29.378299111967344

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.131290791071759	29.378299111967344

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	3.131290791071759	29.378299111967344

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch19.0ms (0.2%)

Memory

-9.4MiB live, 30.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7035.256901126744	-0.03255769686170516

Samples

12.0ms

144×

valid

Compiler

Compiled 142 to 113 computations (20.4% saved)

Precisions

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

ival-mult: 6.0ms (66.5% of total)

ival-sub: 1.0ms (11.1% of total)

ival-div: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-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	49	184
1	67	184
2	72	184
3	74	184
4	75	184

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 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 49999999999999998431683053958987776 binary64)) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 (/.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 x #s(literal -4/3 binary64) #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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 (*.f64 (/.f64 x y) 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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

Outputs
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 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 49999999999999998431683053958987776 binary64)) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #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 49999999999999998431683053958987776 binary64)) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 (/.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 x #s(literal -4/3 binary64) #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 x #s(literal -4/3 binary64) #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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 (*.f64 (/.f64 x y) 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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 #s(literal 1/3 binary64) (*.f64 x (/.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 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

soundness1.9s (18.6%)

Memory

-5.8MiB live, 1 390.7MiB allocated

Rules

12 778×	`lower-fma.f64`
12 778×	`lower-fma.f32`
8 634×	`lower-fma.f64`
8 634×	`lower-fma.f32`
8 054×	`lower-fma.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
0	23	83
0	40	83
1	147	77
2	826	77
3	7639	77
0	8202	75
0	88	1510
1	232	1510
2	584	1510
3	1543	1406
4	4322	1406
0	8233	1349
0	100	1450
1	281	1450
2	744	1418
3	2104	1336
4	6579	1336
0	8156	1212
0	21	72
0	37	68
1	128	68
2	837	68
3	7495	68
0	8063	68
0	19	71
0	35	71
1	161	71
2	1112	71
0	8616	71
0	9	27
0	14	27
1	59	27
2	433	27
3	7340	27
0	8063	27

Stop Event

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

Compiler

Compiled 572 to 304 computations (46.9% saved)

preprocess69.0ms (0.7%)

Memory: -10.9MiB live, 143.1MiB allocated
Remove: (negabs y)
Compiler: Compiled 480 to 170 computations (64.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.1%)

sample736.0ms (7.4%)

preprocess314.0ms (3.1%)

explain205.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify257.0ms (2.6%)

localize27.0ms (0.3%)

series6.0ms (0.1%)

rewrite293.0ms (2.9%)

simplify404.0ms (4%)

eval98.0ms (1%)

prune104.0ms (1%)

simplify271.0ms (2.7%)

localize110.0ms (1.1%)

series18.0ms (0.2%)

rewrite367.0ms (3.7%)

simplify288.0ms (2.9%)

eval137.0ms (1.4%)

prune175.0ms (1.8%)

simplify684.0ms (6.9%)

localize127.0ms (1.3%)

series34.0ms (0.3%)

rewrite293.0ms (2.9%)

simplify346.0ms (3.5%)

eval187.0ms (1.9%)

prune189.0ms (1.9%)

simplify379.0ms (3.8%)

localize79.0ms (0.8%)

series18.0ms (0.2%)

rewrite324.0ms (3.2%)

simplify320.0ms (3.2%)

eval288.0ms (2.9%)

prune644.0ms (6.5%)

regimes133.0ms (1.3%)

regimes38.0ms (0.4%)

regimes37.0ms (0.4%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes17.0ms (0.2%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.9s (18.6%)

preprocess69.0ms (0.7%)

end0.0ms (0%)

Profiling