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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB 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)

sample906.0ms (13.4%)

Memory

-80.6MiB live, 1 008.2MiB allocated

Samples

507.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-div: 188.0ms (57.4% of total)

ival-mult: 80.0ms (24.4% of total)

ival-sub: 45.0ms (13.7% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain76.0ms (1.1%)

Memory

1.5MiB live, 163.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
34	0	-	2	(1.0206886542929872e+135 -1.3638071935701743e+224)	`(/.f64 x (*.f64 y y))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(*.f64 y y)`
0	31	(4.581990064315403e+80 -2.0063889463265108e+177)	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`	oflow-left	31	0
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	20	0
↳	`(*.f64 y y)`	underflow	59

Confusion

	Predicted +	Predicted -
+	20	0
-	31	205

Precision

0.39215686274509803

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	20	0	0
-	31	0	205

Precision?

0.39215686274509803

Recall?

1.0

Freqs

test

number	freq
0	205
1	51

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 69 to 29 computations (58% saved)

Precisions

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

ival-mult: 4.0ms (36.6% of total)

ival-div: 3.0ms (27.5% of total)

ival-sub: 2.0ms (18.3% of total)

ival-true: 1.0ms (9.2% of total)

exact: 0.0ms (0% of total)

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

preprocess48.0ms (0.7%)

Memory

-3.9MiB live, 44.4MiB 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)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(-.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)

localize22.0ms (0.3%)

Memory

-10.1MiB live, 28.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy	0	(*.f64 y y)
accuracy	7.808050496960689	(/.f64 x (*.f64 y y))

Samples

11.0ms

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 (38% of total)

ival-mult: 2.0ms (38% of total)

ival-sub: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB 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	@	0	(- (/ x (* y y)) 3)
1.0ms	x	@	inf	(- (/ x (* y y)) 3)
0.0ms	x	@	0	(/ x (* y y))
0.0ms	x	@	-inf	(/ x (* y y))
0.0ms	y	@	0	(- (/ x (* y y)) 3)

simplify228.0ms (3.4%)

Memory

25.6MiB live, 221.7MiB 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)

rewrite332.0ms (4.9%)

Memory

-13.8MiB live, 461.2MiB allocated

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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eval81.0ms (1.2%)

Memory: -1.6MiB live, 75.7MiB allocated
Compiler: Compiled 10 235 to 656 computations (93.6% saved)

prune40.0ms (0.6%)

Memory

31.3MiB live, 70.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	281	6	287
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	281	7	288

Accuracy

100.0%

Counts

288 → 7

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))
▶	92.3%	(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))
	99.9%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	41.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	52.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 113 to 76 computations (32.7% saved)

simplify145.0ms (2.1%)

Memory

-25.3MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
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)

localize303.0ms (4.5%)

Memory

25.6MiB live, 106.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.05859375	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
accuracy	0	(*.f64 y y)
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	4.918529717534636	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
accuracy	0	(*.f64 y y)
accuracy	7.808050496960689	(/.f64 x (*.f64 y y))
accuracy	32.539769495710466	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
accuracy	30.23320925944147	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.10546875	(/.f64 (/.f64 x y) y)

Samples

284.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div: 135.0ms (93.1% of total)

ival-mult: 4.0ms (2.8% of total)

ival-sub: 2.0ms (1.4% of total)

ival-add: 2.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.8%)

Memory

-24.5MiB live, 13.6MiB 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
47.0ms	x	@	inf	(/ x y)
1.0ms	x	@	-inf	(/ x y)
0.0ms	x	@	0	(/ x y)
0.0ms	y	@	-inf	(/ x y)
0.0ms	y	@	inf	(/ x y)

simplify332.0ms (4.9%)

Memory

6.6MiB live, 241.3MiB 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)

rewrite359.0ms (5.3%)

Memory

-4.7MiB live, 444.1MiB allocated

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

eval101.0ms (1.5%)

Memory: -8.5MiB live, 268.6MiB allocated
Compiler: Compiled 16 495 to 726 computations (95.6% saved)

prune72.0ms (1.1%)

Memory

22.0MiB live, 144.4MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	825	7	832
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	829	10	839

Accuracy

100.0%

Counts

839 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
▶	99.8%	(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y) #s(literal 3 binary64))
✓	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	49.1%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
▶	49.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	41.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
	43.9%	#s(approx (- (/ x (* y y)) 3) (*.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))))
▶	49.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
▶	41.4%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	52.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 187 to 109 computations (41.7% saved)

simplify10.0ms (0.2%)

Memory

-21.8MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y) #s(literal 3 binary64))
cost-diff	384	(/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y)
cost-diff	12864	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	163
0	40	195
1	64	151
2	89	133
3	142	131
4	180	131
5	184	131
0	184	126

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize80.0ms (1.2%)

Memory

25.4MiB live, 140.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.20541000976844204	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy	32.539769495710466	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
accuracy	0	(/.f64 x y)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.14128876953688402	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
accuracy	32.539769495710466	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
accuracy	0	(/.f64 x y)
accuracy	0.10546875	(/.f64 (/.f64 x y) y)
accuracy	32.539769495710466	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
accuracy	0	(*.f64 y y)
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	8.024463344544047	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
accuracy	32.539769495710466	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
accuracy	0	(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y) #s(literal 3 binary64))
accuracy	0.10546875	(/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y)
accuracy	0.25390625	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
accuracy	0.27181625976844204	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))

Samples

50.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 12.0ms (34.4% of total)

ival-pow: 12.0ms (34.4% of total)

ival-mult: 8.0ms (22.9% of total)

ival-sub: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-8.4MiB live, 27.8MiB allocated

Counts

18 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ y x)
2.0ms	y	@	-inf	(pow y -1/2)
1.0ms	y	@	-inf	(* (pow y -1/2) (* (pow y -1/2) x))
1.0ms	x	@	0	(* (pow y -1/2) x)
1.0ms	y	@	-inf	(/ (* (pow y -1/2) (* (pow y -1/2) x)) y)

simplify194.0ms (2.9%)

Memory

11.8MiB live, 241.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 936×	`lower-fma.f64`
2 936×	`lower-fma.f32`
2 112×	`lower-*.f64`
2 112×	`lower-*.f32`
1 184×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	1960
1	76	1932
2	212	1928
3	523	1928
4	2120	1928
5	4589	1928
6	6054	1928
7	6516	1928
8	6751	1928
9	6801	1928
10	6836	1928
11	7687	1928
0	8101	1913

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

rewrite290.0ms (4.3%)

Memory

19.3MiB live, 559.2MiB allocated

Rules

6 614×	`lower-fma.f64`
6 614×	`lower-fma.f32`
5 242×	`lower-*.f32`
5 232×	`lower-*.f64`
2 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	142
0	40	160
1	136	110
2	1229	110
0	8410	105

Stop Event

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

Counts

18 → 936

Calls

Call 1

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

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

eval828.0ms (12.2%)

Memory: 36.6MiB live, 387.7MiB allocated
Compiler: Compiled 19 631 to 1 450 computations (92.6% saved)

prune248.0ms (3.7%)

Memory

-35.3MiB live, 281.7MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 477	4	1 481
Fresh	2	0	2
Picked	1	4	5
Done	0	3	3
Total	1 480	11	1 491

Accuracy

100.0%

Counts

1 491 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)) y) #s(literal 3 binary64))
✓	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	49.1%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	49.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	41.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	49.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) x))))
▶	43.9%	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
▶	48.8%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))))
✓	49.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
✓	41.4%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
✓	52.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 111 to 70 computations (36.9% saved)

simplify154.0ms (2.3%)

Memory

2.5MiB live, 143.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x))
cost-diff	0	(/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)) y)
cost-diff	128	(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)) y) #s(literal 3 binary64))
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(*.f64 y (/.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) x))))
cost-diff	832	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) x)))
cost-diff	0	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
cost-diff	0	(pow.f64 y #s(literal -3/2 binary64))
cost-diff	0	(.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
cost-diff	0	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
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

1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
1 168×	`lower-*.f32`
1 156×	`lower-*.f64`
536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	202
0	53	202
1	82	202
2	131	200
3	208	200
4	319	196
5	436	196
6	697	196
7	1613	196
8	3494	196
9	4517	196
10	4815	196
11	4878	196
12	4918	196
13	4943	196
14	4945	196
15	4945	196
16	4945	196
0	4945	195

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

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

localize100.0ms (1.5%)

Memory

10.6MiB live, 248.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)) y)
accuracy	0.25390625	(*.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)
accuracy	0.27181625976844204	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x))
accuracy	0.3867178941916046	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
accuracy	0	(neg.f64 y)
accuracy	0.1171875	(*.f64 y (/.f64 (neg.f64 y) x))
accuracy	0.6604899820728902	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) x)))
accuracy	32.539769495710466	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) x))))
accuracy	0	(pow.f64 y #s(literal -3/2 binary64))
accuracy	0.25390625	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
accuracy	4.904106901615357	(.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
accuracy	32.539769495710466	#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
accuracy	0	(/.f64 x y)
accuracy	0.14128876953688402	(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64)))
accuracy	0.9128230958749638	(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))
accuracy	32.539769495710466	#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

69.0ms

256×

valid

Compiler

Compiled 150 to 31 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-pow: 19.0ms (36.8% of total)

ival-div: 16.0ms (31% of total)

ival-mult: 10.0ms (19.4% of total)

ival-sub: 2.0ms (3.9% of total)

ival-sqrt: 2.0ms (3.9% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series11.0ms (0.2%)

Memory

-13.1MiB live, 27.5MiB allocated

Counts

19 → 396

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

Calls

99 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(pow y -3/2)
1.0ms	y	@	0	(pow y -3/2)
0.0ms	x	@	0	(* y (/ (neg y) x))
0.0ms	y	@	0	(* y (/ (neg y) x))
0.0ms	y	@	inf	(pow y -3/2)

simplify201.0ms (3%)

Memory

23.5MiB live, 214.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 376×	`lower-fma.f64`
3 376×	`lower-fma.f32`
2 394×	`lower-*.f64`
2 394×	`lower-*.f32`
1 416×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	2104
1	101	2032
2	269	2024
3	669	2024
4	2846	2024
5	4455	2024
6	5565	2024
7	6231	2024
8	7388	2024
9	7708	2024
0	8054	2012

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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

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

rewrite281.0ms (4.1%)

Memory

-7.0MiB live, 427.8MiB allocated

Rules

6 244×	`lower-fma.f64`
6 244×	`lower-fma.f32`
5 566×	`lower-*.f32`
5 554×	`lower-*.f64`
3 552×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	169
0	53	144
1	172	140
2	964	134
0	8851	130

Stop Event

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

Counts

19 → 857

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

Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (neg.f64 y))) (/.f64 x (.f64 y (neg.f64 y))))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y))))
(neg.f64 (.f64 (/.f64 x (.f64 y (neg.f64 y))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 x #s(literal -1 binary64)) (.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (neg.f64 y)) (.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) x) (sqrt.f64 y))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 y (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x)) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x) #s(literal 1 binary64)) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 y)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))) (neg.f64 (sqrt.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x)) (neg.f64 (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x)) (sqrt.f64 (neg.f64 y)))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (/.f64 x (sqrt.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x))
(.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 y (neg.f64 y))))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (.f64 y (neg.f64 y))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))
(.f64 (/.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #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) y) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (sqrt.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))
(.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (.f64 x (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) x) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) x) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) x) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (.f64 (.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -3/4 binary64) (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64) (.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (neg.f64 y)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (.f64 (.f64 y (*.f64 y y)) y) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (log.f64 y)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal -3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
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(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 y)) #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x (sqrt.f64 y)))
(.f64 (.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) x)
(.f64 (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 x)))
(*.f64 (neg.f64 (/.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) (neg.f64 x))
(.f64 (.f64 (*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 x (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(.f64 (neg.f64 (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)))) x)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))) x)
(.f64 (.f64 (*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))) #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 x (sqrt.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x))
(.f64 (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 (.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -1/8 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 y)))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 y (*.f64 y y)) y) #s(literal -1/8 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (sqrt.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) (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64)))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/16 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1/16 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/8 binary64))) (fabs.f64 (pow.f64 y #s(literal -3/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -3/8 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/8 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/16 binary64))) (pow.f64 y #s(literal -1/16 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(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 (neg.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (.f64 y (.f64 y y)))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -1/8 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 y)))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 y (*.f64 y y)) y) #s(literal -1/8 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (sqrt.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) (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64)))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/16 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1/16 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/8 binary64))) (fabs.f64 (pow.f64 y #s(literal -3/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -3/8 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/8 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/16 binary64))) (pow.f64 y #s(literal -1/16 binary64)))
(*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)

eval186.0ms (2.7%)

Memory: 0.2MiB live, 260.4MiB allocated
Compiler: Compiled 20 354 to 1 958 computations (90.4% saved)

prune126.0ms (1.9%)

Memory

-40.1MiB live, 239.0MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 310	3	1 313
Fresh	0	0	0
Picked	3	1	4
Done	0	7	7
Total	1 313	11	1 324

Accuracy

100.0%

Counts

1 324 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.8%	(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) #s(literal -3 binary64))
	99.8%	(-.f64 (/.f64 (/.f64 (*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) y) #s(literal 3 binary64))
✓	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	49.1%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	49.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	41.8%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	49.0%	#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) x))))
✓	49.1%	#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
✓	41.4%	#s(approx (- (/ x (* y y)) 3) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))
	42.8%	#s(approx (- (/ x (* y y)) 3) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)))
✓	52.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 334 to 139 computations (58.4% saved)

regimes29.0ms (0.4%)

Memory

11.9MiB live, 50.9MiB 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)))
(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 y (/.f64 (neg.f64 y) x))))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x)) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 (pow.f64 y #s(literal -3/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
#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 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.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))))

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

Calls

5 calls:

7.0ms	x
6.0ms	y
5.0ms	(*.f64 y y)
5.0ms	(/.f64 x (*.f64 y y))
5.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

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)

regimes12.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB 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:

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

Results

Accuracy	Segments	Branch
92.7%	1	`x`
99.9%	2	`y`
99.9%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	3	`(/.f64 x (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.2%)

Memory

-13.0MiB live, 26.0MiB 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:

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

Results

Accuracy	Segments	Branch
92.7%	1	`x`
92.7%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
92.7%	1	`(/.f64 x (*.f64 y y))`
92.7%	1	`y`
92.7%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB 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:

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

Results

Accuracy	Segments	Branch
66.7%	3	`x`
82.0%	2	`y`
91.6%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
91.6%	3	`(/.f64 x (*.f64 y y))`
82.0%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes10.0ms (0.2%)

Memory

-22.9MiB live, 15.7MiB 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:

5.0ms	(/.f64 x (*.f64 y y))
1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
52.8%	1	`x`
52.8%	1	`y`
52.8%	1	`(*.f64 y y)`
52.8%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
52.8%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4981479035256488e-293	5.277340725494027e-291

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch23.0ms (0.3%)

Memory

0.2MiB live, 38.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4063770115838764e-5	66713.41337372216
9.0ms	-8643245644.673824	-0.00013172596250523476

Samples

8.0ms

320×

valid

Compiler

Compiled 212 to 151 computations (28.8% saved)

Precisions

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

ival-sub: 2.0ms (96.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB 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 449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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 449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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))

soundness778.0ms (11.5%)

Memory

-23.1MiB live, 264.3MiB 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	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
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14

Stop Event

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

Compiler

Compiled 111 to 44 computations (60.4% saved)

preprocess56.0ms (0.8%)

Memory: -1.6MiB live, 75.6MiB allocated
Remove: (abs y)
Compiler: Compiled 206 to 82 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.2%)

sample906.0ms (13.4%)

explain76.0ms (1.1%)

preprocess48.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.3%)

series5.0ms (0.1%)

simplify228.0ms (3.4%)

rewrite332.0ms (4.9%)

eval81.0ms (1.2%)

prune40.0ms (0.6%)

simplify145.0ms (2.1%)

localize303.0ms (4.5%)

series53.0ms (0.8%)

simplify332.0ms (4.9%)

rewrite359.0ms (5.3%)

eval101.0ms (1.5%)

prune72.0ms (1.1%)

simplify10.0ms (0.2%)

localize80.0ms (1.2%)

series16.0ms (0.2%)

simplify194.0ms (2.9%)

rewrite290.0ms (4.3%)

eval828.0ms (12.2%)

prune248.0ms (3.7%)

simplify154.0ms (2.3%)

localize100.0ms (1.5%)

series11.0ms (0.2%)

simplify201.0ms (3%)

rewrite281.0ms (4.1%)

eval186.0ms (2.7%)

prune126.0ms (1.9%)

regimes29.0ms (0.4%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

simplify6.0ms (0.1%)

soundness778.0ms (11.5%)

preprocess56.0ms (0.8%)

end0.0ms (0%)

Profiling