Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

analyze11.0ms (0.2%)

Memory

29.7MiB live, 29.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample559.0ms (9.1%)

Memory

-17.1MiB live, 1 493.5MiB allocated

Samples

348.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 66.0ms (34.6% of total)

ival-div: 59.0ms (30.9% of total)

ival-sub: 50.0ms (26.2% of total)

ival-true: 6.0ms (3.1% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess44.0ms (0.7%)

Memory

10.0MiB live, 48.1MiB allocated

Algorithm

1×	egg-herbie

Rules

720×	`times-frac`
152×	`associate-/r*`
146×	`associate-*r/`
132×	`associate-l`
130×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	43	37
2	115	35
3	300	35
4	666	35
5	1065	35
6	1542	35
7	1605	35
8	1629	35
9	1648	35
10	1652	35
0	6	7
0	9	7
1	14	7
2	15	7
0	15	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

explain68.0ms (1.1%)

Memory

12.5MiB live, 133.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	1	(1.4318566597911249e-207 9.253646707990767e-158)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	12	0
↳	`(*.f64 y y)`	underflow	73
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	1	0
↳	`(*.f64 y y)`	overflow	59

Confusion

	Predicted +	Predicted -
+	13	1
-	0	242

Precision

1.0

Recall

0.9285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	1
-	0	0	242

Precision?

1.0

Recall?

0.9285714285714286

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.9% of total)

ival-div: 3.0ms (28.4% of total)

ival-sub: 2.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

6×	`lower-/.f32`
4×	`lower-+.f64`
4×	`lower-/.f64`
4×	`lower-+.f32`
2×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	15	18
0	15	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-6.7MiB live, 31.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	accuracy	90.7%	(/.f64 x (*.f64 y y))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (36.4% of total)

ival-mult: 2.0ms (36.4% of total)

ival-sub: 1.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

simplify183.0ms (3%)

Memory

6.6MiB live, 159.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2 860×	`lower-fma.f64`
2 860×	`lower-fma.f32`
2 598×	`lower-*.f64`
2 598×	`lower-*.f32`
1 392×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	300
1	43	300
2	103	300
3	250	300
4	472	300
5	785	300
6	1177	300
7	1855	300
8	2697	300
9	3327	300
10	3815	300
11	4073	300
12	4256	300
13	4723	300
14	5512	300
15	6174	300
16	7377	300
0	8081	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite295.0ms (4.8%)

Memory

-3.0MiB live, 353.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 186×	`lower-/.f32`
4 184×	`lower-/.f64`
3 186×	`lower-fma.f64`
3 186×	`lower-fma.f32`
3 038×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14

Stop Event

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

Counts

3 → 227

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64))))))
(+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) (/.f64 x (neg.f64 (*.f64 y y))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (.f64 y y))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -9 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
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eval34.0ms (0.6%)

Memory: 6.7MiB live, 82.5MiB allocated
Compiler: Compiled 10 235 to 656 computations (93.6% saved)

prune36.0ms (0.6%)

Memory

-1.8MiB live, 80.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	280	7	287
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	8	288

Accuracy

100.0%

Counts

288 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
▶	95.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
	53.5%	(fma.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) x) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))))
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
	99.8%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	50.9%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	46.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 179 to 108 computations (39.7% saved)

simplify8.0ms (0.1%)

Memory

-31.5MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	576	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x (*.f64 y y))
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	cost-diff	384	(/.f64 (/.f64 x y) y)

Rules

36×	`lower-*.f32`
34×	`lower-*.f64`
20×	`associate-r`
14×	`associate-l`
12×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
0	30	87
1	47	87
2	56	87
3	75	87
4	81	87
0	81	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.9%)

Memory

8.4MiB live, 84.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.9%	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	95.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	90.7%	(/.f64 x (*.f64 y y))
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	accuracy	46.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)

Samples

33.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

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

ival-div: 8.0ms (38.8% of total)

ival-mult: 7.0ms (34% of total)

ival-sub: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ x y)
0.0ms	x	@	inf	(/ x y)
0.0ms	x	@	0	(/ x y)
0.0ms	y	@	-inf	(/ x y)
0.0ms	y	@	inf	(/ x y)

simplify198.0ms (3.2%)

Memory

-9.9MiB live, 196.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 718×	`lower-fma.f64`
2 718×	`lower-fma.f32`
2 488×	`lower-*.f64`
2 488×	`lower-*.f32`
1 372×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	1164
1	45	1164
2	103	1164
3	250	1164
4	477	1164
5	786	1164
6	1178	1164
7	1873	1164
8	2720	1164
9	3382	1164
10	3870	1164
11	4128	1164
12	4308	1164
13	4785	1164
14	5574	1164
15	6236	1164
16	7440	1164
0	8052	1164

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite300.0ms (4.9%)

Memory

25.8MiB live, 334.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 556×	`lower-fma.f32`
4 552×	`lower-fma.f64`
3 662×	`lower-*.f32`
3 660×	`lower-*.f64`
2 356×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	69
0	30	67
1	130	60
2	758	60
3	7577	60
0	8094	60

Stop Event

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

Counts

11 → 515

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 y y))) (/.f64 (neg.f64 x) (.f64 y y)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
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(/.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal -81 binary64)) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (.f64 y (.f64 y (*.f64 y y)))) #s(literal 9 binary64))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y)))) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64)))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))))) (+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 9 binary64)) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))) (-.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal 729 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 9 binary64)) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) #s(literal 729 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y)))) #s(literal 81 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))) (fma.f64 x (/.f64 x (.f64 y (.f64 y (*.f64 y y)))) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)))
(.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(.f64 (neg.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (.f64 y (.f64 y (*.f64 y y)))) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))
(.f64 (/.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64)) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64))) (+.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64)) (.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64)) (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 9 binary64)) (/.f64 (.f64 x x) (.f64 y (.f64 y (.f64 y y))))))))
(.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64)) (/.f64 (.f64 x #s(literal -3 binary64)) (.f64 y y))))) (+.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64)) (/.f64 (.f64 x #s(literal -3 binary64)) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -9 binary64)) (+.f64 #s(literal 27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (/.f64 #s(literal -3 binary64) (*.f64 y y)) #s(literal 9 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(pow.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 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #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 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))

eval95.0ms (1.6%)

Memory: -12.9MiB live, 168.2MiB allocated
Compiler: Compiled 16 495 to 726 computations (95.6% saved)

prune87.0ms (1.4%)

Memory

-12.2MiB live, 101.7MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	827	5	832
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	829	11	840

Accuracy

100.0%

Counts

840 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
✓	95.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
	53.5%	(fma.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) x) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
▶	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	50.9%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	55.3%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
▶	50.6%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	46.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 206 to 120 computations (41.7% saved)

simplify9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	704	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	cost-diff	384	(/.f64 (/.f64 x y) y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	576	(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
✓	cost-diff	12224	(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))

Rules

94×	`lower-*.f32`
88×	`lower-*.f64`
48×	`associate-r`
48×	`associate-l`
36×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	39	152
1	60	128
2	86	127
3	147	125
4	184	125
5	186	125
0	186	120

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1.3%)

Memory

-10.3MiB live, 109.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	91.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	accuracy	100.0%	(pow.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.9%	(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	99.2%	(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 11.0ms (35.4% of total)

ival-mult: 7.0ms (22.5% of total)

ival-pow: 6.0ms (19.3% of total)

ival-pow2: 3.0ms (9.6% of total)

ival-add: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

exact: 1.0ms (3.2% of total)

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

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

series9.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

16 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ y x)
1.0ms	y	@	-inf	(pow (pow y -1/2) 2)
1.0ms	y	@	0	(pow y -1/2)
0.0ms	y	@	-inf	(pow y -1/2)
0.0ms	y	@	-inf	(+ (* (/ x y) (pow (pow y -1/2) 2)) -3)

simplify201.0ms (3.3%)

Memory

11.2MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 240×	`lower-fma.f64`
3 240×	`lower-fma.f32`
2 836×	`lower-*.f64`
2 836×	`lower-*.f32`
1 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	1640
1	70	1628
2	190	1624
3	474	1624
4	1803	1624
5	4397	1624
6	5986	1624
7	6739	1624
8	7579	1624
0	8033	1609

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

rewrite514.0ms (8.4%)

Memory

1.6MiB live, 436.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 638×	`lower-*.f32`
5 632×	`lower-*.f64`
4 398×	`lower-/.f32`
4 386×	`lower-/.f64`
3 908×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	119
0	39	102
1	140	100
2	1100	100
0	8292	95

Stop Event

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

Counts

16 → 751

Calls

Call 1

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

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

eval407.0ms (6.7%)

Memory: -157.5MiB live, 310.1MiB allocated
Compiler: Compiled 14 377 to 1 009 computations (93% saved)

prune124.0ms (2%)

Memory

-5.9MiB live, 157.3MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 245	4	1 249
Fresh	1	0	1
Picked	2	3	5
Done	0	5	5
Total	1 248	12	1 260

Accuracy

100.0%

Counts

1 260 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
▶	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
✓	50.9%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))))
▶	55.3%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x))))
▶	55.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))))
✓	55.3%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
✓	50.6%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	46.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 119 to 75 computations (37% saved)

simplify136.0ms (2.2%)

Memory

8.1MiB live, 125.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (neg.f64 y))
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))))
✓	cost-diff	832	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
✓	cost-diff	0	(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x)))
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x))))
✓	cost-diff	384	(/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x))
✓	cost-diff	704	(/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64)))
✓	cost-diff	0	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))))

Rules

1 056×	`lower-fma.f64`
1 056×	`lower-fma.f32`
1 008×	`lower-*.f32`
1 000×	`lower-*.f64`
596×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	179
0	47	169
1	81	169
2	148	165
3	340	157
4	555	157
5	946	157
6	2333	157
7	3154	157
8	3529	157
9	3566	157
10	3580	157
11	3584	157
12	3584	157
13	3632	157
14	3648	157
15	3648	157
0	3648	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize355.0ms (5.8%)

Memory

16.2MiB live, 210.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.8%	(*.f64 (/.f64 y x) (neg.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x)))
✓	accuracy	99.7%	(/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x))
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x))))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64)))
✓	accuracy	98.6%	(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))
✓	accuracy	55.4%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))))

Samples

313.0ms

256×

valid

Compiler

Compiled 138 to 29 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-div: 272.0ms (91.7% of total)

ival-pow: 13.0ms (4.4% of total)

ival-mult: 8.0ms (2.7% of total)

ival-sub: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series185.0ms (3%)

Memory

-44.0MiB live, 243.9MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (pow (/ 1 y) 1/4)>
#<alt (exp (* 1/4 (+ (log -1) (log (/ -1 y)))))>
#<alt (exp (* 1/4 (+ (log -1) (log (/ -1 y)))))>
#<alt (exp (* 1/4 (+ (log -1) (log (/ -1 y)))))>
#<alt (exp (* 1/4 (+ (log -1) (log (/ -1 y)))))>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))>
#<alt (* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))>
#<alt (* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))>
#<alt (* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt (* (pow (/ 1 (pow y 7)) 1/4) x)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (/ (* x (sqrt -1)) (pow y 2)))>
#<alt (* -1 (/ (* x (sqrt -1)) (pow y 2)))>
#<alt (* -1 (/ (* x (sqrt -1)) (pow y 2)))>
#<alt (* -1 (/ (* x (sqrt -1)) (pow y 2)))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

93 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(/ (pow y -3/4) (/ y x))
28.0ms	y	@	0	(/ (pow y -1/4) 1)
26.0ms	y	@	-inf	(/ (pow y -3/4) (/ y x))
19.0ms	y	@	-inf	(/ (pow y -1/4) 1)
16.0ms	x	@	inf	(/ (pow y -3/4) (/ y x))

simplify389.0ms (6.4%)

Memory

28.3MiB live, 534.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 648×	`lower-fma.f64`
10 648×	`lower-fma.f32`
3 204×	`lower-*.f64`
3 204×	`lower-*.f32`
1 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1912
1	108	1912
2	237	1900
3	530	1900
4	928	1896
5	1829	1896
6	3008	1896
7	3750	1892
8	4245	1892
9	4606	1892
10	5009	1868
11	5625	1868
12	7582	1868
0	8368	1796

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(pow (/ 1 y) 1/4)
(pow (/ 1 y) 1/4)
(pow (/ 1 y) 1/4)
(pow (/ 1 y) 1/4)
(pow (/ 1 y) 1/4)
(pow (/ 1 y) 1/4)
(pow (/ 1 y) 1/4)
(pow (/ 1 y) 1/4)
(exp (* 1/4 (+ (log -1) (log (/ -1 y)))))
(exp (* 1/4 (+ (log -1) (log (/ -1 y)))))
(exp (* 1/4 (+ (log -1) (log (/ -1 y)))))
(exp (* 1/4 (+ (log -1) (log (/ -1 y)))))
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))))
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* (pow (/ 1 (pow y 7)) 1/4) x)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (* x (sqrt -1)) (pow y 2)))
(* -1 (/ (* x (sqrt -1)) (pow y 2)))
(* -1 (/ (* x (sqrt -1)) (pow y 2)))
(* -1 (/ (* x (sqrt -1)) (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

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

rewrite359.0ms (5.9%)

Memory

12.1MiB live, 371.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 382×	`lower-fma.f64`
4 382×	`lower-fma.f32`
3 578×	`lower-*.f32`
3 570×	`lower-*.f64`
3 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	152
0	47	108
1	173	108
2	1150	106
3	7641	106
0	8684	102

Stop Event

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

Counts

18 → 859

Calls

Call 1

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

Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 y y))) (neg.f64 (/.f64 x (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64))))) (neg.f64 (/.f64 x (.f64 y y))))
(neg.f64 (neg.f64 (/.f64 x (*.f64 y y))))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y (*.f64 x (pow.f64 y #s(literal -3/4 binary64)))))
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64)))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -7/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (neg.f64 x)) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 (pow.f64 y #s(literal -3/4 binary64)) (*.f64 (/.f64 y x) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 (*.f64 x (pow.f64 y #s(literal -7/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 x) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 y y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -7/4 binary64)))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64))))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (*.f64 (/.f64 y (neg.f64 x)) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 y (neg.f64 x)) (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal -7/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -3/4 binary64)))))
(/.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) y))
(/.f64 (.f64 x (pow.f64 y #s(literal -1/4 binary64))) (.f64 y (pow.f64 y #s(literal 3/4 binary64))))
(/.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (pow.f64 y #s(literal -7/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 y)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y x)) (pow.f64 y #s(literal 3/4 binary64)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y (pow.f64 y #s(literal -3/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x))) (/.f64 y (pow.f64 y #s(literal -3/8 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -7/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 x (pow.f64 y #s(literal -7/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 (/.f64 x y) (pow.f64 y #s(literal -1/4 binary64))))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y x)))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (.f64 (/.f64 x y) (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 y (neg.f64 x))))
(.f64 (.f64 x (pow.f64 y #s(literal -7/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 1 binary64)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (.f64 x (pow.f64 y #s(literal -7/4 binary64)))))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 y (.f64 x (pow.f64 y #s(literal -3/4 binary64))))))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (.f64 x (pow.f64 y #s(literal -7/4 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y (neg.f64 x)) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y (neg.f64 x))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 y x)))
(.f64 (neg.f64 (/.f64 x (.f64 y y))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(.f64 (pow.f64 y #s(literal -3/8 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 y #s(literal -3/8 binary64)) y) x) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (*.f64 x (pow.f64 y #s(literal -7/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (.f64 (*.f64 x (pow.f64 y #s(literal -7/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (pow.f64 y #s(literal -7/8 binary64)) (/.f64 y x)))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/8 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64))))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 y #s(literal -7/4 binary64)) (.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))
(.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) y) (.f64 x (pow.f64 y #s(literal -3/4 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) y))
(.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -3/8 binary64)) y) (/.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (/.f64 (/.f64 (pow.f64 y #s(literal -3/8 binary64)) y) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y (neg.f64 x))))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/8 binary64))) (/.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -7/4 binary64))))))
(.f64 (pow.f64 y #s(literal -5/8 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal -3/8 binary64)) y) x))
(.f64 (.f64 (*.f64 x (pow.f64 y #s(literal -7/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (/.f64 x y) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
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(*.f64 (pow.f64 y #s(literal -7/8 binary64)) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (/.f64 y y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 y #s(literal -1 binary64))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (neg.f64 (.f64 y (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 y y)))) (neg.f64 (*.f64 y y)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (/.f64 (neg.f64 y) y))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 y y))
(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))

eval178.0ms (2.9%)

Memory: 14.5MiB live, 359.9MiB allocated
Compiler: Compiled 16 144 to 1 344 computations (91.7% saved)

prune159.0ms (2.6%)

Memory

-30.1MiB live, 216.5MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 300	4	1 304
Fresh	0	0	0
Picked	2	2	4
Done	1	7	8
Total	1 303	13	1 316

Accuracy

100.0%

Counts

1 316 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y (*.f64 x (pow.f64 y #s(literal -3/4 binary64))))))
✓	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
✓	50.9%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
	55.3%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) (neg.f64 y))))
	52.4%	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 y #s(literal -7/4 binary64)) (.f64 x (pow.f64 y #s(literal -1/4 binary64)))))
✓	55.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))))
✓	50.6%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	46.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 335 to 146 computations (56.4% saved)

regimes32.0ms (0.5%)

Memory

40.6MiB live, 76.9MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) (neg.f64 y))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
(fma.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) x) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))))
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 y #s(literal -7/4 binary64)) (.f64 x (pow.f64 y #s(literal -1/4 binary64)))))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y (*.f64 x (pow.f64 y #s(literal -3/4 binary64))))))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 y x))))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes14.0ms (0.2%)

Memory

-0.9MiB live, 36.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(*.f64 y y)
3.0ms	y
3.0ms	x
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
95.4%	1	`x`
99.8%	2	`y`
98.6%	2	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
98.6%	2	`(/.f64 x (*.f64 y y))`
99.8%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes18.0ms (0.3%)

Memory

-11.2MiB live, 29.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(*.f64 y y)
2.0ms	y
2.0ms	x
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
95.4%	1	`x`
95.4%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
95.4%	1	`(/.f64 x (*.f64 y y))`
95.4%	1	`y`
95.4%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.2%)

Memory

-14.3MiB live, 21.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
84.0%	2	`y`
94.2%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
94.2%	3	`(/.f64 x (*.f64 y y))`
65.3%	3	`x`
84.0%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes6.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
46.2%	1	`x`
46.2%	1	`y`
46.2%	1	`(*.f64 y y)`
46.2%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
46.2%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.56299774e-315	2.97397367899855e-310

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch25.0ms (0.4%)

Memory

-12.4MiB live, 57.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.02571804284796584	9.989301621638543
14.0ms	-75298624.07591079	-1.328709272375353e-12

Samples

8.0ms

304×

valid

Compiler

Compiled 202 to 144 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 2.0ms (99% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	26	100
2	32	100
3	34	100
4	35	100

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 2024022533/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 2024022533/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x ( y y)) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness841.0ms (13.8%)

Memory

-21.6MiB live, 362.0MiB allocated

Rules

4 556×	`lower-fma.f32`
4 552×	`lower-fma.f64`
4 186×	`lower-/.f32`
4 184×	`lower-/.f64`
3 662×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	69
0	30	67
1	130	60
2	758	60
3	7577	60
0	8094	60
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14
0	21	300
1	43	300
2	103	300
3	250	300
4	472	300
5	785	300
6	1177	300
7	1855	300
8	2697	300
9	3327	300
10	3815	300
11	4073	300
12	4256	300
13	4723	300
14	5512	300
15	6174	300
16	7377	300
0	8081	300

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

Compiler

Compiled 111 to 44 computations (60.4% saved)

preprocess44.0ms (0.7%)

Memory: 5.5MiB live, 115.4MiB allocated
Remove: (abs y)
Compiler: Compiled 206 to 82 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

sample559.0ms (9.1%)

preprocess44.0ms (0.7%)

explain68.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.3%)

series4.0ms (0.1%)

simplify183.0ms (3%)

rewrite295.0ms (4.8%)

eval34.0ms (0.6%)

prune36.0ms (0.6%)

simplify8.0ms (0.1%)

localize54.0ms (0.9%)

series6.0ms (0.1%)

simplify198.0ms (3.2%)

rewrite300.0ms (4.9%)

eval95.0ms (1.6%)

prune87.0ms (1.4%)

simplify9.0ms (0.1%)

localize78.0ms (1.3%)

series9.0ms (0.1%)

simplify201.0ms (3.3%)

rewrite514.0ms (8.4%)

eval407.0ms (6.7%)

prune124.0ms (2%)

simplify136.0ms (2.2%)

localize355.0ms (5.8%)

series185.0ms (3%)

simplify389.0ms (6.4%)

rewrite359.0ms (5.9%)

eval178.0ms (2.9%)

prune159.0ms (2.6%)

regimes32.0ms (0.5%)

regimes14.0ms (0.2%)

regimes18.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch25.0ms (0.4%)

simplify7.0ms (0.1%)

soundness841.0ms (13.8%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling