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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (17.8%)

Memory

-37.7MiB live, 1 137.0MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 768.0ms

ival-sub: 399.0ms (51.9% of total)

ival-mult: 249.0ms (32.4% of total)

ival-div: 102.0ms (13.3% of total)

exact: 8.0ms (1% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain81.0ms (1.1%)

Memory

24.4MiB live, 221.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`	o/n	9	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`	overflow	51

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

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

ival-mult: 8.0ms (46.6% of total)

ival-sub: 5.0ms (29.1% of total)

ival-div: 3.0ms (17.5% of total)

exact: 1.0ms (5.8% of total)

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

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

preprocess169.0ms (2.3%)

Memory

-25.2MiB live, 216.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.4%	(/.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)

simplify156.0ms (2.1%)

Memory

28.9MiB live, 145.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize42.0ms (0.6%)

Memory

6.6MiB live, 43.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
accuracy	2.3142083952952226	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Samples

36.0ms

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% of total)

ival-mult: 3.0ms (39% of total)

ival-div: 2.0ms (26% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-13.7MiB live, 31.0MiB allocated

Counts

5 → 72

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -4 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4/3 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms	y	@	0	((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms	y	@	inf	((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms	x	@	inf	((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms	x	@	-inf	((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))

simplify144.0ms (1.9%)

Memory

15.7MiB live, 128.0MiB 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	1551	418
4	4034	418
5	7654	418
0	8499	384

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite192.0ms (2.6%)

Memory

-5.8MiB live, 230.6MiB allocated

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

eval106.0ms (1.4%)

Memory: 0.2MiB live, 183.8MiB allocated
Compiler: Compiled 17 681 to 2 093 computations (88.2% saved)

prune145.0ms (1.9%)

Memory

43.1MiB live, 347.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	805	10	815
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	806	10	816

Accuracy

100.0%

Counts

816 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y)
	96.4%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
▶	62.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	41.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 (-.f64 x #s(literal 4 binary64)) x)) (.f64 y #s(literal 3 binary64)))
	41.6%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 x x)) (.f64 y #s(literal 3 binary64)))
	58.2%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶	58.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
	63.0%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
▶	45.1%	#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))))
▶	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))

Compiler

Compiled 210 to 136 computations (35.2% saved)

simplify152.0ms (2%)

Memory

-46.2MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

14 400×	`lower-fma.f32`
14 396×	`lower-fma.f64`
3 318×	`lower-*.f32`
3 306×	`lower-*.f64`
1 588×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	171
0	45	171
1	84	171
2	181	171
3	389	171
4	1042	171
5	4577	166
0	8141	158

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.1%)

Memory

-6.4MiB live, 155.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	2.3142083952952226	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
accuracy	25.967502218085798	#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)))
accuracy	0	(/.f64 x y)
accuracy	0.1328125	(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
accuracy	0.25390625	(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
accuracy	35.08381561756444	#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))))
accuracy	0	(/.f64 x y)
accuracy	0.14453125	(.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
accuracy	0.3359375	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy	35.21756173199636	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	26.583709638140295	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0546875	(.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.14453125	(*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x))
accuracy	2.1696771452952226	(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y)

Samples

64.0ms

256×

valid

Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 13.0ms (39% of total)

const: 8.0ms (24% of total)

ival-div: 7.0ms (21% of total)

ival-sub: 3.0ms (9% of total)

ival-add: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

15.5MiB live, 55.6MiB allocated

Counts

18 → 324

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx ( (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx ( (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx ( (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx ( (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 4 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 4 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 4 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (* 1/3 (- 3 x)) (- 1 x)) (* 1/3 (- 3 x)) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (- 1 x))
3.0ms	y	@	inf	((* (* 1/3 (- 3 x)) (- 1 x)) (* 1/3 (- 3 x)) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (- 1 x))
3.0ms	y	@	0	((* (* 1/3 (- 3 x)) (- 1 x)) (* 1/3 (- 3 x)) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (- 1 x))
3.0ms	y	@	-inf	((* (* 1/3 (- 3 x)) (- 1 x)) (* 1/3 (- 3 x)) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (- 1 x))
2.0ms	x	@	inf	((* (* 1/3 (- 3 x)) (- 1 x)) (* 1/3 (- 3 x)) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (* y 3) (- 1 x))

simplify170.0ms (2.3%)

Memory

-9.2MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 822×	`lower-fma.f64`
10 822×	`lower-fma.f32`
3 000×	`lower-*.f64`
3 000×	`lower-*.f32`
2 124×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	2350
1	306	2290
2	761	2286
3	2114	2278
4	5277	2278
0	8157	2073

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

rewrite263.0ms (3.5%)

Memory

-3.2MiB live, 282.8MiB allocated

Rules

5 908×	`lower-fma.f32`
5 904×	`lower-fma.f64`
5 560×	`lower-*.f32`
5 548×	`lower-*.f64`
4 356×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	150
0	45	150
1	161	150
2	1070	150
0	8840	144

Stop Event

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

Counts

18 → 1 142

Calls

Call 1

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

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

eval225.0ms (3%)

Memory: 30.4MiB live, 405.3MiB allocated
Compiler: Compiled 24 390 to 2 883 computations (88.2% saved)

prune369.0ms (4.9%)

Memory

-1.8MiB live, 472.6MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 504	11	1 515
Fresh	3	2	5
Picked	1	4	5
Done	0	0	0
Total	1 508	17	1 525

Accuracy

100.0%

Counts

1 525 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)
✓	62.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	41.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 (-.f64 x #s(literal 4 binary64)) x)) (.f64 y #s(literal 3 binary64)))
	58.2%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* -4 x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
▶	96.6%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y)
▶	63.0%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y)
	41.5%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (.f64 (.f64 x #s(literal 1/3 binary64)) x)) y)
	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/3 binary64)))))
✓	58.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
	63.0%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
▶	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x))
✓	45.1%	#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))))
	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64))))
	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) #s(approx (+ ( x 1/3) -4/3) #s(literal -4/3 binary64))))
	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
✓	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
▶	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))

Compiler

Compiled 308 to 192 computations (37.7% saved)

simplify281.0ms (3.8%)

Memory

-107.2MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

13 818×	`lower-fma.f32`
13 810×	`lower-fma.f64`
3 348×	`lower-*.f32`
3 340×	`lower-*.f64`
1 620×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	207
0	54	208
1	97	208
2	206	204
3	464	202
4	1171	202
5	4639	193
0	8115	193

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.9%)

Memory

25.5MiB live, 221.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))
accuracy	0.05078125	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))
accuracy	0.1328125	(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
accuracy	2.1696771452952226	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y)
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.14453125	(.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)
accuracy	0.19921875	(/.f64 x (*.f64 y #s(literal 3 binary64)))
accuracy	35.21756173199636	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x))
accuracy	0.125	(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))
accuracy	2.1696771452952226	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y)
accuracy	26.17127083770169	#s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))
accuracy	0.21484375	(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
accuracy	0.36328125	(/.f64 #s(literal -4/3 binary64) y)
accuracy	24.101663951085143	#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))
accuracy	35.08381561756444	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0546875	(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.125	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
accuracy	2.1696771452952226	(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)

Samples

75.0ms

256×

valid

Compiler

Compiled 162 to 33 computations (79.6% saved)

Precisions

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

ival-mult: 21.0ms (44.6% of total)

ival-div: 10.0ms (21.2% of total)

const: 9.0ms (19.1% of total)

ival-add: 5.0ms (10.6% of total)

ival-sub: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.9%)

Memory

-18.1MiB live, 66.0MiB allocated

Counts

19 → 336

Calls

Call 1

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

Outputs
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	((* (+ (* x -1/3) 1) (- 1 x)) (/ (* (+ (* x -1/3) 1) (- 1 x)) y) (+ (* x -1/3) 1) (- 1 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* -4/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x (* y 3)) x) (/ x (* y 3)) (* y 3) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3))
3.0ms	y	@	-inf	((* (+ (* x -1/3) 1) (- 1 x)) (/ (* (+ (* x -1/3) 1) (- 1 x)) y) (+ (* x -1/3) 1) (- 1 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* -4/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x (* y 3)) x) (/ x (* y 3)) (* y 3) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3))
3.0ms	y	@	inf	((* (+ (* x -1/3) 1) (- 1 x)) (/ (* (+ (* x -1/3) 1) (- 1 x)) y) (+ (* x -1/3) 1) (- 1 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* -4/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x (* y 3)) x) (/ x (* y 3)) (* y 3) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3))
2.0ms	x	@	inf	((* (+ (* x -1/3) 1) (- 1 x)) (/ (* (+ (* x -1/3) 1) (- 1 x)) y) (+ (* x -1/3) 1) (- 1 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* -4/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x (* y 3)) x) (/ x (* y 3)) (* y 3) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3))
2.0ms	x	@	-inf	((* (+ (* x -1/3) 1) (- 1 x)) (/ (* (+ (* x -1/3) 1) (- 1 x)) y) (+ (* x -1/3) 1) (- 1 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* -4/3 x) 1) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x (* y 3)) x) (/ x (* y 3)) (* y 3) (/ (* (* 1/3 (- 3 x)) (- 1 x)) y) (* (* 1/3 (- 3 x)) (- 1 x)) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3))

simplify140.0ms (1.9%)

Memory

13.2MiB live, 200.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 924×	`lower-fma.f64`
9 924×	`lower-fma.f32`
3 966×	`lower-*.f64`
3 966×	`lower-*.f32`
1 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	2558
1	233	2498
2	585	2482
3	1479	2482
4	4509	2482
0	8185	2239

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite240.0ms (3.2%)

Memory

14.1MiB live, 338.3MiB allocated

Rules

5 026×	`lower-/.f32`
5 016×	`lower-/.f64`
4 660×	`lower-fma.f32`
4 652×	`lower-fma.f64`
3 722×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	188
0	54	188
1	202	188
2	1441	188
0	8336	188

Stop Event

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

Counts

19 → 567

Calls

Call 1

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

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

eval301.0ms (4%)

Memory: 11.2MiB live, 202.9MiB allocated
Compiler: Compiled 13 801 to 1 618 computations (88.3% saved)

prune200.0ms (2.7%)

Memory

-19.4MiB live, 295.5MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	898	5	903
Fresh	2	6	8
Picked	0	5	5
Done	0	4	4
Total	900	20	920

Accuracy

100.0%

Counts

920 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.6%	(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)
✓	62.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	41.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 (-.f64 x #s(literal 4 binary64)) x)) (.f64 y #s(literal 3 binary64)))
	58.2%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* -4 x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
✓	96.6%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y)
✓	63.0%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y)
	41.5%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (.f64 (.f64 x #s(literal 1/3 binary64)) x)) y)
▶	8.4%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x))) y)
▶	63.0%	(.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))))
✓	58.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
▶	41.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/3 binary64)))
✓	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x))
✓	45.1%	#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))))
	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64))))
	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) #s(approx (+ ( x 1/3) -4/3) #s(literal -4/3 binary64))))
▶	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
✓	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
	44.8%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) y))) x))
▶	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
✓	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))

Compiler

Compiled 314 to 193 computations (38.5% saved)

simplify153.0ms (2%)

Memory

6.2MiB live, 162.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

12 922×	`lower-fma.f32`
12 920×	`lower-fma.f64`
3 300×	`lower-*.f32`
3 288×	`lower-*.f64`
1 400×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	222
0	53	222
1	94	220
2	185	220
3	376	220
4	972	220
5	4023	220
0	8115	204

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (1.7%)

Memory

-8.4MiB live, 191.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.19921875	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/3 binary64))
accuracy	7.837953543743812	(/.f64 (*.f64 x x) y)
accuracy	35.21756173199636	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/3 binary64)))
accuracy	0	(/.f64 x y)
accuracy	0.12890625	(*.f64 (/.f64 x y) x)
accuracy	0.19921875	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
accuracy	35.21756173199636	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
accuracy	0.34375	(*.f64 #s(literal -4/3 binary64) x)
accuracy	2.1696771452952226	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x))) y)
accuracy	26.17127083770169	#s(approx (* (* 1/3 (- 3 x)) (- 1 x)) #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x)))
accuracy	35.507174932122474	#s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x))
accuracy	0	(*.f64 y #s(literal -3/4 binary64))
accuracy	0.19921875	(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
accuracy	24.101663951085143	#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))
accuracy	35.08381561756444	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.125	(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))
accuracy	2.1774896452952226	(.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))))
accuracy	26.17127083770169	#s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))

Samples

102.0ms

256×

valid

Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 26.0ms (38.9% of total)

ival-mult: 18.0ms (26.9% of total)

ival-div: 13.0ms (19.4% of total)

const: 6.0ms (9% of total)

ival-sub: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

17.9MiB live, 56.5MiB allocated

Counts

20 → 384

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* -4/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 4/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) y) (patch (/.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify136.0ms (1.8%)

Memory

7.2MiB live, 197.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 254×	`lower-fma.f64`
9 254×	`lower-fma.f32`
3 264×	`lower-*.f64`
3 264×	`lower-*.f32`
1 966×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	2610
1	184	2610
2	456	2610
3	1189	2602
4	3166	2602
5	5725	2602
0	8217	2338

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

Outputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y))
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -3/4 y)
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rewrite151.0ms (2%)

Memory

-3.0MiB live, 203.5MiB allocated

Rules

3 952×	`lower-fma.f32`
3 950×	`lower-fma.f64`
3 832×	`lower-*.f32`
3 820×	`lower-*.f64`
3 792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	206
0	53	206
1	178	204
2	1132	204
0	8433	195

Stop Event

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

Counts

20 → 393

Calls

Call 1

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

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

eval98.0ms (1.3%)

Memory: 7.1MiB live, 247.2MiB allocated
Compiler: Compiled 7 906 to 674 computations (91.5% saved)

prune92.0ms (1.2%)

Memory

11.7MiB live, 210.0MiB allocated

Pruning

20 alts after pruning (6 fresh and 14 done)

	Pruned	Kept	Total
New	777	0	777
Fresh	0	6	6
Picked	0	5	5
Done	0	9	9
Total	777	20	797

Accuracy

100.0%

Counts

797 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.6%	(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)
✓	62.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
	41.8%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) (.f64 (-.f64 x #s(literal 4 binary64)) x)) (.f64 y #s(literal 3 binary64)))
	58.2%	(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* -4 x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
✓	96.6%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y)
✓	63.0%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y)
	41.5%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (.f64 (.f64 x #s(literal 1/3 binary64)) x)) y)
✓	8.4%	(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x))) y)
✓	63.0%	(.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))))
✓	58.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
✓	41.5%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/3 binary64)))
✓	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x))
✓	45.1%	#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))))
	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/3 binary64))))
	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) #s(approx (+ ( x 1/3) -4/3) #s(literal -4/3 binary64))))
✓	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
✓	44.9%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
	44.8%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) y))) x))
✓	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
✓	8.4%	#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))

Compiler

Compiled 432 to 194 computations (55.1% saved)

regimes199.0ms (2.7%)

Memory

-44.7MiB live, 86.7MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

31.0ms	x
15.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
8.0ms	y
8.0ms	(*.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
98.8%	2	`x`
96.6%	1	`y`
99.9%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
96.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes13.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

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

Outputs

(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #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
99.9%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes12.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

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

(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (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
84.2%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.7%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes26.0ms (0.3%)

Memory

-30.8MiB live, 8.1MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

25.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (0.2%)

Memory

10.6MiB live, 46.5MiB 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 (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) #s(approx (+ ( x 1/3) -4/3) #s(literal -4/3 binary64))))
(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x))) 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 (+ (* -4 x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y)

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.0%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
63.0%	1	`y`
63.0%	1	`(*.f64 y #s(literal 3 binary64))`
63.0%	1	`x`
63.0%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes19.0ms (0.3%)

Memory

-22.9MiB live, 21.3MiB 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 (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x y) #s(approx (+ ( x 1/3) -4/3) #s(literal -4/3 binary64))))
(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) #s(approx (+ (* -4/3 x) 1) (*.f64 #s(literal -4/3 binary64) x))) 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 (+ (* -4 x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))

Outputs

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

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

Calls

5 calls:

7.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
3.0ms	y
3.0ms	x
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))

Results

Accuracy	Segments	Branch
63.0%	2	`x`
58.5%	1	`y`
58.5%	1	`(*.f64 y #s(literal 3 binary64))`
62.3%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
62.3%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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:

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

Results

Accuracy	Segments	Branch
58.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
58.5%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
58.5%	1	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5486883517272755e+140	1.9029252857780896e+144

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.920626378991423e+30	7.55965769451882e+40

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	43580939926701.22	1.2133290305303486e+20

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.000079454171927	43580939926701.22

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.000079454171927	43580939926701.22

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.000079454171927	43580939926701.22

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.000079454171927	43580939926701.22

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.000079454171927	43580939926701.22

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch35.0ms (0.5%)

Memory

-20.8MiB live, 15.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-11015121561.243633	-1.9863444342690422e-5

Samples

7.0ms

160×

valid

Compiler

Compiled 186 to 124 computations (33.3% saved)

Precisions

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

ival-mult: 2.0ms (45.3% of total)

ival-sub: 1.0ms (22.6% of total)

ival-div: 1.0ms (22.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	432
1	94	432
2	99	432
3	101	432
4	102	432

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/3 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 9999999999999999635896294965248 binary64)) (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 50000000000000 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #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)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (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)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (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) (.f64 x #s(literal 1/3 binary64)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)))
(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (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 (* (/ x y) (+ (* x 1/3) -4/3)) (.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #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
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/3 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 #s(literal 1/3 binary64) x)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 9999999999999999635896294965248 binary64)) (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 9999999999999999635896294965248 binary64)) (/.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 50000000000000 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #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 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 50000000000000 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #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)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (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 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (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)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (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) (.f64 x #s(literal 1/3 binary64)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (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) (.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/3 binary64))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx ( (* 1/3 (- 3 x)) (- 1 x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)))
(/.f64 #s(approx (* (* 1/3 (- 3 x)) (- 1 x)) (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 (* (/ x y) (+ (* x 1/3) -4/3)) (.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #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 (14.8%)

Memory

8.9MiB live, 790.5MiB allocated

Rules

10 822×	`lower-fma.f64`
10 822×	`lower-fma.f32`
8 634×	`lower-fma.f64`
8 634×	`lower-fma.f32`
5 908×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	150
0	45	150
1	161	150
2	1070	150
0	8840	144
0	114	2350
1	306	2290
2	761	2286
3	2114	2278
4	5277	2278
0	8157	2073
0	9	27
0	14	27
1	59	27
2	433	27
3	7340	27
0	8063	27
0	78	446
1	216	446
2	543	446
3	1551	418
4	4034	418
5	7654	418
0	8499	384

Stop Event

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

Compiler

Compiled 684 to 325 computations (52.5% saved)

preprocess167.0ms (2.2%)

Memory: 2.7MiB live, 160.4MiB allocated
Remove: (negabs y)
Compiler: Compiled 598 to 182 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample1.3s (17.8%)

explain81.0ms (1.1%)

preprocess169.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify156.0ms (2.1%)

localize42.0ms (0.6%)

series26.0ms (0.3%)

simplify144.0ms (1.9%)

rewrite192.0ms (2.6%)

eval106.0ms (1.4%)

prune145.0ms (1.9%)

simplify152.0ms (2%)

localize81.0ms (1.1%)

series27.0ms (0.4%)

simplify170.0ms (2.3%)

rewrite263.0ms (3.5%)

eval225.0ms (3%)

prune369.0ms (4.9%)

simplify281.0ms (3.8%)

localize145.0ms (1.9%)

series65.0ms (0.9%)

simplify140.0ms (1.9%)

rewrite240.0ms (3.2%)

eval301.0ms (4%)

prune200.0ms (2.7%)

simplify153.0ms (2%)

localize130.0ms (1.7%)

series26.0ms (0.3%)

simplify136.0ms (1.8%)

rewrite151.0ms (2%)

eval98.0ms (1.3%)

prune92.0ms (1.2%)

regimes199.0ms (2.7%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes26.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes18.0ms (0.2%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch35.0ms (0.5%)

simplify9.0ms (0.1%)

soundness1.1s (14.8%)

preprocess167.0ms (2.2%)

end0.0ms (0%)

Profiling