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

analyze17.0ms (0.2%)

Memory

-7.2MiB live, 28.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample958.0ms (10.2%)

Memory

-57.7MiB live, 1 624.3MiB allocated

Samples

649.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult: 245.0ms (54.4% of total)

ival-sub: 116.0ms (25.7% of total)

ival-div: 71.0ms (15.8% of total)

exact: 9.0ms (2% of total)

ival-true: 7.0ms (1.6% of total)

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

Bogosity

preprocess369.0ms (3.9%)

Memory

12.6MiB live, 363.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs y)

explain131.0ms (1.4%)

Memory

-35.0MiB live, 141.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(/.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	16	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	68
`/.f64`	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`	o/o	1	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	68
↳	`(*.f64 y #s(literal 3 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (41.9% of total)

ival-sub: 5.0ms (30% of total)

ival-div: 3.0ms (18% of total)

exact: 1.0ms (6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(/.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)

simplify262.0ms (2.8%)

Memory

24.5MiB live, 338.0MiB 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

localize52.0ms (0.5%)

Memory

3.1MiB live, 42.6MiB 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	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Samples

42.0ms

256×

valid

Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 3.0ms (39.2% of total)

ival-mult: 3.0ms (39.2% of total)

ival-div: 2.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-28.5MiB live, 11.8MiB 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
3.0ms	y	@	-inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
0.0ms	x	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
0.0ms	x	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))

simplify277.0ms (2.9%)

Memory

4.2MiB live, 451.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite340.0ms (3.6%)

Memory

7.9MiB live, 435.9MiB 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))))
(fma.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 x (-.f64 x #s(literal 3 binary64))))
(fma.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 x (-.f64 x #s(literal 3 binary64))))
(fma.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 x (-.f64 x #s(literal 3 binary64))))
(neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 9 binary64) (.f64 x x))) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (.f64 x x))) (+.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 3 binary64) x)) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 3 binary64) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
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(*.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))

eval104.0ms (1.1%)

Memory: 38.0MiB live, 265.3MiB allocated
Compiler: Compiled 17 609 to 2 089 computations (88.1% saved)

prune142.0ms (1.5%)

Memory

-33.0MiB live, 333.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	799	16	815
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	800	16	816

Accuracy

100.0%

Counts

816 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y))
	99.3%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 3 binary64))
	93.4%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	56.3%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	46.3%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 x (+.f64 #s(literal -4 binary64) x))) (.f64 y #s(literal 3 binary64)))
	45.5%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 x x)) (.f64 y #s(literal 3 binary64)))
	50.3%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	99.2%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
	93.4%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))
	99.8%	(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))))
	99.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
▶	93.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y))
▶	50.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
	52.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
▶	56.6%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
	51.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)))

Compiler

Compiled 350 to 248 computations (29.1% saved)

simplify312.0ms (3.3%)

Memory

19.8MiB live, 453.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))
✓	cost-diff	128	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.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) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
✓	cost-diff	0	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	640	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y))

Rules

8 908×	`lower-fma.f32`
8 904×	`lower-fma.f64`
2 562×	`lower-*.f32`
2 552×	`lower-*.f64`
1 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	174
0	43	175
1	93	171
2	221	171
3	567	171
4	2163	165
5	7652	165
0	8141	156

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.2%)

Memory

0.7MiB live, 244.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y))
✓	accuracy	99.9%	(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	accuracy	93.8%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓	accuracy	56.6%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	50.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y))

Samples

76.0ms

256×

valid

Compiler

Compiled 157 to 27 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 18.0ms (43.2% of total)

ival-div: 10.0ms (24% of total)

const: 7.0ms (16.8% of total)

ival-sub: 4.0ms (9.6% of total)

ival-add: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

-2.5MiB live, 35.6MiB allocated

Counts

16 → 300

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y)>
#<alt (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x))>
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))>
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))>
#<alt (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))>
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y))>
#<alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)>
#<alt (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 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 (/ (* (- 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 y>
#<alt (+ y (* 1/3 (* x y)))>
#<alt (+ y (* x (+ (* 1/9 (* x y)) (* 1/3 y))))>
#<alt (+ y (* x (+ (* 1/3 y) (* x (+ (* 1/27 (* x y)) (* 1/9 y))))))>
#<alt (* -3 (/ y x))>
#<alt (/ (+ (* -9 (/ y x)) (* -3 y)) x)>
#<alt (/ (+ (* -27 (/ y (pow x 2))) (+ (* -9 (/ y x)) (* -3 y))) x)>
#<alt (/ (+ (* -81 (/ y (pow x 3))) (+ (* -27 (/ y (pow x 2))) (+ (* -9 (/ y x)) (* -3 y)))) x)>
#<alt (* -3 (/ y x))>
#<alt (* -1 (/ (+ (* 3 y) (* 9 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -27 (/ y x)) (* -9 y)) x)) (* 3 y)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -9 y) (* -1 (/ (+ (* 27 y) (* 81 (/ y x))) x))) x)) (* 3 y)) x))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* 1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (+ 1/9 (* 1/27 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 x))) (pow x 2))) (+ 3 (* 9 (/ 1 x)))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 x)) (/ 27 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 x))) x)) 9) 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 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 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (* -4/3 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* -4/3 (/ x y))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (/ 1 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 (* -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>
#<alt (+ 1 (* -4/3 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))>
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ 1 y)>
#<alt (+ (* -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 (/ 1/3 y)>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (* -1/3 (/ x y))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* -1/3 (/ x y))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt 1>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (* -1/3 x)>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>

Calls

75 calls:

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

simplify331.0ms (3.5%)

Memory

13.7MiB live, 478.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 212×	`lower-fma.f64`
9 212×	`lower-fma.f32`
4 486×	`lower-*.f64`
4 486×	`lower-*.f32`
2 722×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2727
1	550	2717
2	1359	2685
3	3099	2454
0	8283	2206

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 299

Calls

Call 1

Inputs
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
1
(+ 1 (* -1 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))))
y
(+ y (* 1/3 (* x y)))
(+ y (* x (+ (* 1/9 (* x y)) (* 1/3 y))))
(+ y (* x (+ (* 1/3 y) (* x (+ (* 1/27 (* x y)) (* 1/9 y))))))
(* -3 (/ y x))
(/ (+ (* -9 (/ y x)) (* -3 y)) x)
(/ (+ (* -27 (/ y (pow x 2))) (+ (* -9 (/ y x)) (* -3 y))) x)
(/ (+ (* -81 (/ y (pow x 3))) (+ (* -27 (/ y (pow x 2))) (+ (* -9 (/ y x)) (* -3 y)))) x)
(* -3 (/ y x))
(* -1 (/ (+ (* 3 y) (* 9 (/ y x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -27 (/ y x)) (* -9 y)) x)) (* 3 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -9 y) (* -1 (/ (+ (* 27 y) (* 81 (/ y x))) x))) x)) (* 3 y)) x))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
(* 3 (/ y (- 3 x)))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* 1/9 x))))
(+ 1 (* x (+ 1/3 (* x (+ 1/9 (* 1/27 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (* 9 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 x))) (pow x 2))) (+ 3 (* 9 (/ 1 x)))) x)
(/ -3 x)
(* -1 (/ (+ 3 (* 9 (/ 1 x))) x))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 x)) (/ 27 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 x))) x)) 9) 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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 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 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 (* -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
(+ 1 (* -4/3 x))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ 1 y)
(+ (* -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))
(/ 1/3 y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(* -1/3 (/ x y))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* -1/3 (/ x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
1
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(* -1/3 x)
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))

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

rewrite722.0ms (7.7%)

Memory

-24.0MiB live, 593.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 802×	`lower-/.f32`
4 792×	`lower-/.f64`
4 196×	`lower-*.f32`
4 186×	`lower-*.f64`
3 592×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	141
0	43	141
1	177	137
2	1348	137
0	8416	137

Stop Event

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

Counts

16 → 1 320

Calls

Call 1

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

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

eval341.0ms (3.6%)

Memory: 34.7MiB live, 469.4MiB allocated
Compiler: Compiled 35 545 to 3 051 computations (91.4% saved)

prune217.0ms (2.3%)

Memory

-11.8MiB live, 395.9MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 750	8	1 758
Fresh	3	8	11
Picked	4	1	5
Done	0	0	0
Total	1 757	17	1 774

Accuracy

100.0%

Counts

1 774 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ 3 (- 3 x)) (/.f64 #s(literal -3 binary64) x)) y))
	99.3%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 3 binary64))
▶	93.4%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	45.5%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 x x)) (.f64 y #s(literal 3 binary64)))
	50.3%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
	51.4%	(.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))
	93.4%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))
	99.8%	(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))))
	99.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
	56.6%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y))
▶	45.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y))
	52.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
	93.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y))
✓	50.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
▶	99.8%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	51.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)))
▶	10.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))))

Compiler

Compiled 347 to 246 computations (29.1% saved)

simplify235.0ms (2.5%)

Memory

31.0MiB live, 481.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

9 958×	`lower-fma.f32`
9 954×	`lower-fma.f64`
3 210×	`lower-*.f32`
3 198×	`lower-*.f64`
1 192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	231
0	62	232
1	124	228
2	255	228
3	555	228
4	1775	224
5	6465	224
0	8369	222

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.5%)

Memory

-21.1MiB live, 308.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(*.f64 #s(approx (/ 3 (- 3 x)) (/.f64 #s(literal -3 binary64) x)) y)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ 3 (- 3 x)) (/.f64 #s(literal -3 binary64) x)) y))
✓	accuracy	51.2%	#s(approx (/ 3 (- 3 x)) (/.f64 #s(literal -3 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal -4 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	#s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)))
✓	accuracy	93.4%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	87.6%	(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
✓	accuracy	51.8%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.6%	(*.f64 #s(literal -4/3 binary64) (/.f64 x y))
✓	accuracy	56.6%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))))
✓	accuracy	51.9%	#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
✓	accuracy	100.0%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	99.8%	(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	accuracy	99.7%	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))

Samples

100.0ms

256×

valid

Compiler

Compiled 169 to 36 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 31.0ms (38.6% of total)

ival-mult: 29.0ms (36.1% of total)

const: 9.0ms (11.2% of total)

ival-sub: 6.0ms (7.5% of total)

ival-add: 5.0ms (6.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series16.0ms (0.2%)

Memory

0.6MiB live, 41.2MiB allocated

Counts

21 → 396

Calls

Call 1

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

Outputs
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (* -1/3 x)>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (* -4/3 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* -4/3 (/ x y))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* 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 (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (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 (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (/ 1 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>
#<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 3>
#<alt (+ 3 (* -4 x))>
#<alt (+ 3 (* x (- x 4)))>
#<alt (+ 3 (* x (- x 4)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))>
#<alt -4>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt x>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (/ 1 y)>
#<alt (+ (* -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 y>
#<alt (+ y (* 1/3 (* x y)))>
#<alt (+ y (* x (+ (* 1/9 (* x y)) (* 1/3 y))))>
#<alt (+ y (* x (+ (* 1/3 y) (* x (+ (* 1/27 (* x y)) (* 1/9 y))))))>
#<alt (* -3 (/ y x))>
#<alt (/ (+ (* -9 (/ y x)) (* -3 y)) x)>
#<alt (/ (+ (* -27 (/ y (pow x 2))) (+ (* -9 (/ y x)) (* -3 y))) x)>
#<alt (/ (+ (* -81 (/ y (pow x 3))) (+ (* -27 (/ y (pow x 2))) (+ (* -9 (/ y x)) (* -3 y)))) x)>
#<alt (* -3 (/ y x))>
#<alt (* -1 (/ (+ (* 3 y) (* 9 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -27 (/ y x)) (* -9 y)) x)) (* 3 y)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -9 y) (* -1 (/ (+ (* 27 y) (* 81 (/ y x))) x))) x)) (* 3 y)) x))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt (* 3 (/ y (- 3 x)))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* 1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (+ 1/9 (* 1/27 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 x))) (pow x 2))) (+ 3 (* 9 (/ 1 x)))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 x)) (/ 27 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 x))) x)) 9) x))) 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

99 calls:

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

simplify328.0ms (3.5%)

Memory

-24.6MiB live, 555.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 900×	`lower-fma.f64`
8 900×	`lower-fma.f32`
4 002×	`lower-*.f64`
4 002×	`lower-*.f32`
2 788×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	3174
1	553	3101
2	1352	3045
3	3234	2886
0	8254	2671

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 393

Calls

Call 1

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

rewrite309.0ms (3.3%)

Memory

9.9MiB live, 521.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 878×	`lower-/.f32`
5 866×	`lower-/.f64`
4 440×	`lower-*.f32`
4 428×	`lower-*.f64`
2 788×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	207
0	62	207
1	243	203
2	1794	203
0	8610	201

Stop Event

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

Counts

21 → 736

Calls

Call 1

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

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

eval226.0ms (2.4%)

Memory: 2.2MiB live, 231.1MiB allocated
Compiler: Compiled 19 232 to 2 137 computations (88.9% saved)

prune131.0ms (1.4%)

Memory

-7.0MiB live, 285.3MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1 171	10	1 181
Fresh	5	6	11
Picked	1	4	5
Done	0	1	1
Total	1 177	21	1 198

Accuracy

100.0%

Counts

1 198 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 #s(approx (/ 3 (- 3 x)) (/.f64 #s(literal -3 binary64) x)) y))
✓	93.4%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
▶	45.5%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 x x)) (.f64 y #s(literal 3 binary64)))
	50.3%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* x (+ -4 x)) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	93.4%	(.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx ( (- 1 x) (- 3 x)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))
	99.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
	56.6%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y))
▶	45.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (*.f64 x (/.f64 x #s(literal 3 binary64))) y))
✓	45.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y))
	51.3%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) x))
	52.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
	45.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) y)))
	51.6%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 x y)))
	10.4%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)))
	93.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y))
✓	50.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
✓	99.8%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶	99.8%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))))
▶	51.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)))
▶	10.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
✓	10.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))))

Compiler

Compiled 351 to 245 computations (30.2% saved)

simplify241.0ms (2.6%)

Memory

27.9MiB live, 376.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 154×	`lower-fma.f32`
11 152×	`lower-fma.f64`
2 320×	`lower--.f32`
2 318×	`lower--.f64`
2 308×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	219
0	58	218
1	114	210
2	255	210
3	636	210
4	2342	205
5	7000	205
0	8354	203

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (1.4%)

Memory

14.5MiB live, 165.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(*.f64 x (/.f64 x #s(literal 3 binary64)))
✓	accuracy	87.6%	(/.f64 (*.f64 x (/.f64 x #s(literal 3 binary64))) y)
✓	accuracy	51.8%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (*.f64 x (/.f64 x #s(literal 3 binary64))) y))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	93.4%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 x x)) (.f64 y #s(literal 3 binary64)))
✓	accuracy	51.5%	#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))
✓	accuracy	99.8%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	51.8%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
✓	accuracy	99.3%	(/.f64 #s(literal -4/3 binary64) y)
✓	accuracy	56.6%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
✓	accuracy	51.9%	#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))
✓	accuracy	100.0%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))

Samples

71.0ms

256×

valid

Compiler

Compiled 164 to 34 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 19.0ms (40.6% of total)

ival-div: 13.0ms (27.8% of total)

const: 9.0ms (19.2% of total)

ival-sub: 3.0ms (6.4% of total)

ival-add: 2.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-16.0MiB live, 20.9MiB allocated

Counts

20 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* (/ 1 y) (- 1 x))
0.0ms	x	@	-inf	(/ (* x 1/3) y)
0.0ms	y	@	inf	(/ (* x 1/3) y)
0.0ms	y	@	0	(/ -4/3 y)
0.0ms	y	@	-inf	(/ -4/3 y)

simplify248.0ms (2.6%)

Memory

11.2MiB live, 413.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 138×	`lower-fma.f64`
8 138×	`lower-fma.f32`
3 136×	`lower-*.f64`
3 136×	`lower-*.f32`
1 796×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	2910
1	246	2910
2	619	2902
3	1706	2758
4	4917	2758
0	8189	2563

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

rewrite334.0ms (3.6%)

Memory

-13.3MiB live, 583.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 718×	`lower-/.f32`
4 706×	`lower-/.f64`
3 986×	`lower-*.f32`
3 970×	`lower-*.f64`
3 468×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	197
0	58	196
1	211	188
2	1440	183
0	8448	181

Stop Event

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

Counts

20 → 930

Calls

Call 1

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

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

eval512.0ms (5.4%)

Memory: -0.9MiB live, 366.8MiB allocated
Compiler: Compiled 19 378 to 2 038 computations (89.5% saved)

prune170.0ms (1.8%)

Memory

-10.1MiB live, 386.6MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	1 308	6	1 314
Fresh	4	7	11
Picked	2	3	5
Done	0	5	5
Total	1 314	21	1 335

Accuracy

100.0%

Counts

1 335 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 3 binary64))
✓	93.4%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
✓	45.5%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 x x)) (.f64 y #s(literal 3 binary64)))
	50.3%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* x (+ -4 x)) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	93.4%	(.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx ( (- 1 x) (- 3 x)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))
	45.5%	(.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx ( (- 1 x) (- 3 x)) (*.f64 x x)))
	99.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64))
	56.6%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y))
✓	45.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y))
	52.5%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
	51.6%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64))))
	51.6%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
	10.4%	#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)))
	93.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y))
✓	50.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
✓	99.8%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
✓	51.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)))
	51.7%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x)))
	10.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
✓	10.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
✓	10.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))))

Compiler

Compiled 527 to 229 computations (56.5% saved)

regimes88.0ms (0.9%)

Memory

4.8MiB live, 122.0MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
13.0ms	y
12.0ms	x
12.0ms	(*.f64 y #s(literal 3 binary64))
11.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes64.0ms (0.7%)

Memory

-6.0MiB live, 120.0MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	x
14.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
11.0ms	(*.f64 y #s(literal 3 binary64))
11.0ms	y
10.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes39.0ms (0.4%)

Memory

4.5MiB live, 79.4MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

10.0ms	x
8.0ms	y
7.0ms	(*.f64 y #s(literal 3 binary64))
7.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
93.7%	1	`y`
99.8%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
93.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
83.6%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
98.6%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

-15.3MiB live, 23.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	3	`x`
97.8%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes194.0ms (2.1%)

Memory

-17.5MiB live, 26.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

182.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	y
3.0ms	x
3.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
56.6%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
56.6%	1	`y`
56.6%	1	`(*.f64 y #s(literal 3 binary64))`
56.6%	1	`x`
56.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes14.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.5%	1	`y`
50.5%	1	`(*.f64 y #s(literal 3 binary64))`
57.2%	2	`x`
56.2%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
56.2%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes42.0ms (0.5%)

Memory

-20.9MiB live, 15.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
1.0ms	x
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

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

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.65066086410367e+38	1.505989352906764e+45

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.007334620463136	10422.966088248057

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.007334620463136	10422.966088248057

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch12.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-100.09782607013754	-0.0018328153127912387

Samples

6.0ms

128×

valid

Compiler

Compiled 128 to 102 computations (20.3% saved)

Precisions

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

ival-sub: 1.0ms (27.6% of total)

ival-div: 1.0ms (27.6% of total)

ival-mult: 1.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

-23.5MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-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	62	267
1	75	267
2	80	267
3	82	267
4	83	267

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 499999999999999969854583185801589293056 binary64)) #s(approx (/ ( (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 1 x) ( (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 1 x) ( (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))))
#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (.f64 #s(literal -4/3 binary64) (/.f64 x y)))) #s(approx (/ ( (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 499999999999999969854583185801589293056 binary64)) #s(approx (/ ( (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 499999999999999969854583185801589293056 binary64)) #s(approx (/ ( (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 1 x) ( (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 1 x) ( (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 1 x) ( (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) x))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 1 x) ( (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 x (.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
#s(approx (/ (- 1 x) (* (/ 3 (- 3 x)) y)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (.f64 #s(literal -4/3 binary64) (/.f64 x y)))) #s(approx (/ ( (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))

soundness1.1s (11.4%)

Memory

26.7MiB live, 819.6MiB allocated

Rules

9 212×	`lower-fma.f64`
9 212×	`lower-fma.f32`
8 634×	`lower-fma.f64`
8 634×	`lower-fma.f32`
4 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2727
1	550	2717
2	1359	2685
3	3099	2454
0	8283	2206
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	41	197
0	58	196
1	211	188
2	1440	183
0	8448	181
0	28	141
0	43	141
1	177	137
2	1348	137
0	8416	137

Stop Event

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

Compiler

Compiled 311 to 155 computations (50.2% saved)

preprocess92.0ms (1%)

Memory: -11.9MiB live, 146.3MiB allocated
Remove: (negabs y)
Compiler: Compiled 342 to 148 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.2%)

sample958.0ms (10.2%)

preprocess369.0ms (3.9%)

explain131.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify262.0ms (2.8%)

localize52.0ms (0.5%)

series8.0ms (0.1%)

simplify277.0ms (2.9%)

rewrite340.0ms (3.6%)

eval104.0ms (1.1%)

prune142.0ms (1.5%)

simplify312.0ms (3.3%)

localize115.0ms (1.2%)

series20.0ms (0.2%)

simplify331.0ms (3.5%)

rewrite722.0ms (7.7%)

eval341.0ms (3.6%)

prune217.0ms (2.3%)

simplify235.0ms (2.5%)

localize145.0ms (1.5%)

series16.0ms (0.2%)

simplify328.0ms (3.5%)

rewrite309.0ms (3.3%)

eval226.0ms (2.4%)

prune131.0ms (1.4%)

simplify241.0ms (2.6%)

localize127.0ms (1.4%)

series10.0ms (0.1%)

simplify248.0ms (2.6%)

rewrite334.0ms (3.6%)

eval512.0ms (5.4%)

prune170.0ms (1.8%)

regimes88.0ms (0.9%)

regimes64.0ms (0.7%)

regimes39.0ms (0.4%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes194.0ms (2.1%)

regimes14.0ms (0.2%)

regimes42.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.1s (11.4%)

preprocess92.0ms (1%)

end0.0ms (0%)

Profiling