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

analyze13.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB 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)

sample705.0ms (8%)

Memory

9.3MiB live, 1 056.2MiB allocated

Samples

448.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-sub: 118.0ms (41.2% of total)

ival-mult: 100.0ms (34.9% of total)

ival-div: 54.0ms (18.8% of total)

exact: 7.0ms (2.4% of total)

ival-true: 5.0ms (1.7% of total)

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

Bogosity

preprocess317.0ms (3.6%)

Memory

-14.8MiB live, 367.4MiB 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)

explain86.0ms (1%)

Memory

-0.7MiB live, 194.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(/.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	15	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	67

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions

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

ival-mult: 11.0ms (51.2% of total)

ival-sub: 6.0ms (27.9% of total)

ival-div: 3.0ms (14% of total)

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

exact: 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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(/.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)

simplify381.0ms (4.3%)

Memory

-0.4MiB live, 394.9MiB 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

localize41.0ms (0.5%)

Memory

-0.8MiB live, 41.7MiB 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	94.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (40.3% of total)

ival-mult: 3.0ms (40.3% of total)

ival-div: 2.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB 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	@	-inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	x	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
0.0ms	x	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))

rewrite357.0ms (4.1%)

Memory

-5.7MiB live, 422.5MiB 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))

simplify331.0ms (3.8%)

Memory

40.7MiB live, 511.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval153.0ms (1.7%)

Memory: -6.2MiB live, 196.1MiB allocated
Compiler: Compiled 17 609 to 2 089 computations (88.1% saved)

prune129.0ms (1.5%)

Memory

-9.2MiB live, 333.3MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	800	15	815
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	801	15	816

Accuracy

100.0%

Counts

816 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	58.4%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
	94.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
	44.7%	(/.f64 (.f64 x (+.f64 #s(literal -4 binary64) x)) (.f64 y #s(literal 3 binary64)))
▶	44.6%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
	94.3%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
	52.2%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶	52.4%	(/.f64 #s(literal 1 binary64) y)
	99.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
	50.1%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	58.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
	94.1%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))
	99.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
	50.0%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))

Compiler

Compiled 320 to 228 computations (28.8% saved)

simplify291.0ms (3.3%)

Memory

-13.6MiB live, 600.8MiB 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	0	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

Rules

10 932×	`lower-fma.f32`
10 928×	`lower-fma.f64`
3 014×	`lower-*.f32`
3 008×	`lower-*.f64`
2 250×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
0	35	99
1	66	99
2	111	99
3	207	99
4	597	99
5	1789	99
6	5332	99
0	8219	97

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (0.9%)

Memory

13.7MiB live, 205.3MiB 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	94.2%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.3%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.7%	(/.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 3 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

Samples

48.0ms	241×	0	valid
2.0ms	7×	2	valid
2.0ms	8×	1	valid

Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 12.0ms (42.3% of total)

ival-mult: 7.0ms (24.7% of total)

ival-add: 5.0ms (17.6% of total)

ival-sub: 3.0ms (10.6% of total)

adjust: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

1.4MiB live, 79.7MiB allocated

Counts

14 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/ (+ (* x (+ -4 x)) 3) (* y 3))
2.0ms	x	@	0	(/ (* x x) (* y 3))
2.0ms	y	@	-inf	(/ y (- 1 x))
2.0ms	y	@	inf	(/ (+ (* x (+ -4 x)) 3) (* y 3))
1.0ms	y	@	0	(/ (* x x) (* y 3))

rewrite390.0ms (4.4%)

Memory

10.1MiB live, 613.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 632×	`lower-fma.f32`
5 628×	`lower-fma.f64`
4 570×	`lower-/.f32`
4 558×	`lower-/.f64`
4 510×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	35	76
1	160	76
2	1104	76
0	8424	76

Stop Event

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

Counts

14 → 876

Calls

Call 1

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

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

simplify347.0ms (3.9%)

Memory

1.7MiB live, 480.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 400×	`lower-fma.f64`
11 400×	`lower-fma.f32`
4 356×	`lower-*.f64`
4 356×	`lower-*.f32`
2 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	1711
1	492	1692
2	1311	1622
3	4084	1618
0	8342	1520

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

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

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

eval237.0ms (2.7%)

Memory: 18.2MiB live, 207.4MiB allocated
Compiler: Compiled 20 723 to 2 445 computations (88.2% saved)

prune197.0ms (2.2%)

Memory

-24.7MiB live, 345.5MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 152	11	1 163
Fresh	8	2	10
Picked	1	4	5
Done	0	0	0
Total	1 161	17	1 178

Accuracy

100.0%

Counts

1 178 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
✓	94.2%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
	58.6%	(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
✓	58.4%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
	44.7%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	44.6%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
▶	44.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
	9.8%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
	50.0%	(/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))
▶	52.2%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	52.4%	(/.f64 #s(literal 1 binary64) y)
	94.1%	(*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
▶	94.1%	(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
	50.0%	(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
	50.1%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	50.0%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
▶	50.0%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)

Compiler

Compiled 282 to 199 computations (29.4% saved)

simplify18.0ms (0.2%)

Memory

-5.8MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

322×	`lower-fma.f32`
316×	`lower-fma.f64`
222×	`lower-*.f32`
210×	`lower-*.f64`
100×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	40	102
1	69	100
2	98	100
3	142	100
4	191	100
5	220	100
6	254	100
7	293	100
8	317	100
9	322	100
0	322	100

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.8%)

Memory

29.8MiB live, 147.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -4 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
✓	accuracy	94.4%	(/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	90.8%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
✓	accuracy	99.7%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
✓	accuracy	99.7%	(*.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	99.9%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓	accuracy	94.4%	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)

Samples

50.0ms

256×

valid

Compiler

Compiled 113 to 27 computations (76.1% saved)

Precisions

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

ival-mult: 13.0ms (41.3% of total)

ival-div: 7.0ms (22.2% of total)

const: 6.0ms (19% of total)

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

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-6.1MiB live, 68.0MiB allocated

Counts

15 → 252

Calls

Call 1

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

63 calls:

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

rewrite612.0ms (7%)

Memory

-8.7MiB live, 606.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 564×	`lower-fma.f32`
6 558×	`lower-fma.f64`
5 476×	`lower-*.f32`
5 464×	`lower-*.f64`
3 832×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	85
0	40	85
1	154	83
2	915	83
0	8605	83

Stop Event

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

Counts

15 → 944

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal -729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) #s(literal -27 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal 9 binary64)) (.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal -729 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))))) #s(literal 81 binary64)) (.f64 (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))))) #s(literal -81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal 9 binary64)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal 9 binary64)) (.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal 9 binary64)) (.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal -9 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal -9 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 x #s(literal -4 binary64))))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (pow.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))) (.f64 (*.f64 x x) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) (.f64 x x)) (+.f64 #s(literal 3 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 x #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 x x)) (+.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 16 binary64))) (-.f64 (+.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 x #s(literal -4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64)))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal 9 binary64)) (.f64 x (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))))
(.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))))))
(.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal 9 binary64)) (.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal -3 binary64)))
(.f64 (neg.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal 9 binary64)) (.f64 x (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal -4 binary64)) (+.f64 x #s(literal -4 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x 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 (*.f64 x x) (+.f64 x #s(literal 4 binary64))) (neg.f64 (/.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 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -4 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64)))))
(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 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -16 binary64)) (+.f64 (neg.f64 x) #s(literal -4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 16 binary64)) (+.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 16 binary64) (.f64 x (+.f64 x #s(literal 4 binary64)))) (fma.f64 x (.f64 x x) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal 16 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 x x #s(literal -16 binary64)) (+.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 16 binary64)) (+.f64 (neg.f64 x) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x))
(/.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 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -262144 binary64)) #s(literal 1 binary64)) (.f64 (-.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 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 256 binary64)) (.f64 (.f64 x x) #s(literal 16 binary64))) (+.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 16 binary64)) (+.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (.f64 x x))))))
(/.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))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 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) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 x #s(literal 4 binary64))))))
(*.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 4 binary64) (*.f64 x x))))))
(*.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 16 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x)))

simplify241.0ms (2.7%)

Memory

-25.4MiB live, 419.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 960×	`lower-fma.f64`
7 960×	`lower-fma.f32`
3 152×	`lower-*.f64`
3 152×	`lower-*.f32`
1 352×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1748
1	320	1748
2	809	1728
3	2287	1632
4	6940	1632
0	8147	1508

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

eval210.0ms (2.4%)

Memory: 29.5MiB live, 211.6MiB allocated
Compiler: Compiled 22 713 to 2 613 computations (88.5% saved)

prune135.0ms (1.5%)

Memory

4.7MiB live, 371.5MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 192	2	1 194
Fresh	1	7	8
Picked	1	4	5
Done	0	4	4
Total	1 194	17	1 211

Accuracy

100.0%

Counts

1 211 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.4%	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
✓	94.2%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	58.6%	(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
✓	58.4%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	44.6%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	44.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
	9.8%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
	50.0%	(/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))
✓	52.2%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	52.4%	(/.f64 #s(literal 1 binary64) y)
▶	94.1%	(*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
▶	44.7%	(.f64 (/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) y) #s(literal 1/3 binary64))
▶	50.0%	(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
	50.1%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	50.0%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
▶	52.1%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
✓	50.0%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)

Compiler

Compiled 236 to 168 computations (28.8% saved)

simplify18.0ms (0.2%)

Memory

-14.0MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	34	96
1	62	96
2	104	96
3	176	96
4	272	96
5	308	96
6	327	96
7	345	96
8	350	96
0	350	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize114.0ms (1.3%)

Memory

-12.4MiB live, 103.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -4 binary64)))
✓	accuracy	99.6%	(.f64 (/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) y) #s(literal 1/3 binary64))
✓	accuracy	94.4%	(/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
✓	accuracy	99.7%	(/.f64 x (*.f64 #s(literal 3 binary64) y))
✓	accuracy	99.8%	(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
✓	accuracy	99.7%	(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 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%	(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -4 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	94.2%	(*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))

Samples

90.0ms

256×

valid

Compiler

Compiled 104 to 23 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 34.0ms (44.6% of total)

const: 30.0ms (39.4% of total)

ival-div: 6.0ms (7.9% of total)

ival-add: 4.0ms (5.2% of total)

exact: 2.0ms (2.6% of total)

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

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

series21.0ms (0.2%)

Memory

5.0MiB live, 42.8MiB allocated

Counts

13 → 228

Calls

Call 1

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

Calls

57 calls:

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

rewrite314.0ms (3.6%)

Memory

15.7MiB live, 645.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 510×	`lower-*.f32`
5 498×	`lower-*.f64`
4 926×	`lower-fma.f32`
4 922×	`lower-fma.f64`
4 858×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
0	34	71
1	124	71
2	810	71
0	8310	71

Stop Event

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

Counts

13 → 1 242

Calls

Call 1

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

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

simplify248.0ms (2.8%)

Memory

9.0MiB live, 499.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 538×	`lower-fma.f64`
7 538×	`lower-fma.f32`
2 990×	`lower-*.f64`
2 990×	`lower-*.f32`
1 822×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1644
1	244	1602
2	621	1550
3	1692	1386
4	5120	1386
0	8109	1293

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

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

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

eval243.0ms (2.8%)

Memory: -26.1MiB live, 332.4MiB allocated
Compiler: Compiled 26 342 to 3 132 computations (88.1% saved)

prune187.0ms (2.1%)

Memory

17.2MiB live, 444.9MiB allocated

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	1 555	2	1 557
Fresh	0	4	4
Picked	0	5	5
Done	0	8	8
Total	1 555	19	1 574

Accuracy

100.0%

Counts

1 574 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.4%	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
✓	94.2%	(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	58.6%	(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
✓	58.4%	(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓	44.6%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	44.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
	9.8%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
	50.0%	(/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))
✓	52.2%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	52.4%	(/.f64 #s(literal 1 binary64) y)
✓	94.1%	(*.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
✓	44.7%	(.f64 (/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) y) #s(literal 1/3 binary64))
✓	50.0%	(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x)
	50.1%	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
	50.0%	(.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64)))
✓	52.1%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
	52.2%	(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
✓	50.0%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
	50.1%	(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))

Compiler

Compiled 425 to 201 computations (52.7% saved)

regimes52.0ms (0.6%)

Memory

6.6MiB live, 87.5MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	y
12.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
9.0ms	(*.f64 y #s(literal 3 binary64))
9.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
9.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
99.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes163.0ms (1.9%)

Memory

-0.1MiB live, 39.2MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

5 calls:

129.0ms	y
9.0ms	(*.f64 y #s(literal 3 binary64))
8.0ms	x
8.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
7.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes197.0ms (2.2%)

Memory

16.8MiB live, 54.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

5 calls:

168.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
7.0ms	(*.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
99.8%	3	`x`
94.4%	1	`y`
99.8%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.8%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
94.4%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes49.0ms (0.6%)

Memory

-48.7MiB live, 11.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
5.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
82.5%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
98.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes14.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.6%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
58.6%	1	`y`
58.6%	1	`(*.f64 y #s(literal 3 binary64))`
58.6%	1	`x`
58.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

-10.8MiB live, 27.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.4%	1	`y`
52.4%	1	`(*.f64 y #s(literal 3 binary64))`
58.0%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
58.1%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
58.7%	2	`x`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 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
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
52.4%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
52.4%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
52.4%	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	3.773562022931659e+181	2.078854435583259e+183

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	3.773562022931659e+181	2.078854435583259e+183

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	3.0000000004140652	53212.55291416077

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0000000004140652	53212.55291416077

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch16.0ms (0.2%)

Memory

-10.9MiB live, 27.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-28865354.43212532	-1.035163329321106e-10

Samples

9.0ms

160×

valid

Compiler

Compiled 156 to 124 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (52.3% of total)

ival-sub: 1.0ms (17.4% of total)

ival-div: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

-16.6MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-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	46	143
1	63	143
2	68	143
3	70	143
4	71	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 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 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 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 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

Outputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (.f64 x (/.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) (.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) (.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (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 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y) (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

soundness1.5s (16.8%)

Memory

27.9MiB live, 977.8MiB allocated

Rules

11 400×	`lower-fma.f64`
11 400×	`lower-fma.f32`
8 634×	`lower-fma.f64`
8 634×	`lower-fma.f32`
7 538×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	35	76
1	160	76
2	1104	76
0	8424	76
0	78	446
1	216	446
2	543	446
3	1549	418
4	4034	418
5	7651	418
0	8497	384
0	9	27
0	14	27
1	59	27
2	433	27
3	7340	27
0	8063	27
0	88	1644
1	244	1602
2	621	1550
3	1692	1386
4	5120	1386
0	8109	1293
0	172	1711
1	492	1692
2	1311	1622
3	4084	1618
0	8342	1520

Stop Event

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

Compiler

Compiled 370 to 201 computations (45.7% saved)

preprocess233.0ms (2.6%)

Memory: -7.6MiB live, 152.5MiB allocated
Remove: (negabs y)
Compiler: Compiled 458 to 196 computations (57.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	103
0	40	102
1	69	100
2	98	100
3	142	100
4	191	100
5	220	100
6	254	100
7	293	100
8	317	100
9	322	100
0	322	100

Iter	Nodes	Cost
0	20	98
0	34	96
1	62	96
2	104	96
3	176	96
4	272	96
5	308	96
6	327	96
7	345	96
8	350	96
0	350	94

Iter	Nodes	Cost
0	22	103
0	40	102
1	69	100
2	98	100
3	142	100
4	191	100
5	220	100
6	254	100
7	293	100
8	317	100
9	322	100
0	322	100

Iter	Nodes	Cost
0	20	98
0	34	96
1	62	96
2	104	96
3	176	96
4	272	96
5	308	96
6	327	96
7	345	96
8	350	96
0	350	94

analyze13.0ms (0.1%)

sample705.0ms (8%)

preprocess317.0ms (3.6%)

explain86.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify381.0ms (4.3%)

localize41.0ms (0.5%)

series7.0ms (0.1%)

rewrite357.0ms (4.1%)

simplify331.0ms (3.8%)

eval153.0ms (1.7%)

prune129.0ms (1.5%)

simplify291.0ms (3.3%)

localize76.0ms (0.9%)

series28.0ms (0.3%)

rewrite390.0ms (4.4%)

simplify347.0ms (3.9%)

eval237.0ms (2.7%)

prune197.0ms (2.2%)

simplify18.0ms (0.2%)

localize72.0ms (0.8%)

series26.0ms (0.3%)

rewrite612.0ms (7%)

simplify241.0ms (2.7%)

eval210.0ms (2.4%)

prune135.0ms (1.5%)

simplify18.0ms (0.2%)

localize114.0ms (1.3%)

series21.0ms (0.2%)

rewrite314.0ms (3.6%)

simplify248.0ms (2.8%)

eval243.0ms (2.8%)

prune187.0ms (2.1%)

regimes52.0ms (0.6%)

regimes163.0ms (1.9%)

regimes197.0ms (2.2%)

regimes7.0ms (0.1%)

regimes49.0ms (0.6%)

regimes4.0ms (0%)

regimes14.0ms (0.2%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.5s (16.8%)

preprocess233.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	103
0	40	102
1	69	100
2	98	100
3	142	100
4	191	100
5	220	100
6	254	100
7	293	100
8	317	100
9	322	100
0	322	100

Iter	Nodes	Cost
0	20	98
0	34	96
1	62	96
2	104	96
3	176	96
4	272	96
5	308	96
6	327	96
7	345	96
8	350	96
0	350	94