Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.6s (23.2%)

Memory

52.3MiB live, 1 443.5MiB allocated; 362ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-pow: 920.0ms (87.3% of total)

ival-sub: 117.0ms (11.1% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain91.0ms (1.3%)

Memory

0.7MiB live, 181.9MiB allocated; 27ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
37	-	-	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
0	-	-	`y`
0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`	nan-rescue	37	0
↳	`(pow.f64 x #s(literal 4 binary64))`	overflow	93
↳	`(pow.f64 y #s(literal 4 binary64))`	overflow	89

Confusion

	Predicted +	Predicted -
+	37	0
-	0	219

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	0
-	0	0	219

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 16.0ms (82.2% of total)

ival-sub: 2.0ms (10.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.2%)

Memory

-14.9MiB live, 29.8MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
0	6	7
0	9	7
0	9	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
0	9	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

localize31.0ms (0.5%)

Memory

22.9MiB live, 73.6MiB allocated; 15ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	8.386677466604118	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 17.0ms (92.4% of total)

ival-sub: 1.0ms (5.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-28.8MiB live, 17.3MiB allocated; 3ms collecting garbage

Counts

3 → 7

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))

Outputs
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* -1 (pow y 4)) (pow x 4))
(pow y 4)
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))

simplify1.3s (19.3%)

Memory

-95.5MiB live, 488.4MiB allocated; 868ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	37	44
2	89	44
3	302	44
4	1435	44
5	6017	44
0	8217	44

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite68.0ms (1%)

Memory

2.9MiB live, 53.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	34	13
0	231	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 28

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))

Outputs
(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(fma.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (.f64 x x)) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(.f64 (neg.f64 (.f64 y y)) (neg.f64 (*.f64 y y)))
(.f64 (fabs.f64 (.f64 y y)) (fabs.f64 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))

eval3.0ms (0%)

Memory: 6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 458 to 102 computations (77.7% saved)

prune1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Accuracy

96.9%

Counts

34 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.4%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
▶	92.7%	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
▶	57.1%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Status

Accuracy

Program

▶

85.4%

(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))

▶

92.7%

(*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))

▶

57.1%

#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify455.0ms (6.7%)

Memory

18.8MiB live, 502.9MiB allocated; 93ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
cost-diff	4	(.f64 (.f64 y y) (*.f64 y y))
cost-diff	0	(-.f64 (.f64 x x) (.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	7	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	26	82
1	54	80
2	229	72
3	1093	68
4	4963	68
0	8021	68

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 x x)
(-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(.f64 (.f64 y y) (*.f64 y y))
(pow.f64 y #s(literal 4 binary64))
(*.f64 y y)
y

localize150.0ms (2.2%)

Memory

-37.2MiB live, 99.8MiB allocated; 23ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.14453125	(.f64 (.f64 y y) (*.f64 y y))
accuracy	8.386677466604118	(-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.142910009768442	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
accuracy	4.093729358302059	(-.f64 (.f64 x x) (.f64 y y))
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	27.45312768334672	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Samples

122.0ms

256×

valid

Compiler

Compiled 82 to 16 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 7.0ms (37.4% of total)

ival-mult: 6.0ms (32% of total)

ival-sub: 3.0ms (16% of total)

ival-add: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

11 → 25

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (pow x 4) (* x x))
1.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (pow x 4) (* x x))
1.0ms	y	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (pow x 4) (* x x))
1.0ms	x	@	0	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (pow x 4) (* x x))
1.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (pow x 4) (* x x))

simplify354.0ms (5.3%)

Memory

0.2MiB live, 321.4MiB allocated; 60ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	204
1	195	194
2	803	191
3	7270	189
0	8315	185

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite51.0ms (0.8%)

Memory

24.0MiB live, 67.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
0	26	58
1	109	58
0	773	58

Stop Event

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

Counts

11 → 317

Calls

Call 1

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

Outputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) y) y)
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(*.f64 y (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 y y) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (*.f64 y y) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (neg.f64 y) (fabs.f64 y)) (*.f64 (neg.f64 y) (fabs.f64 y)))
(.f64 (.f64 (fabs.f64 y) (neg.f64 y)) (*.f64 (fabs.f64 y) (neg.f64 y)))
(.f64 (.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y))
(.f64 (.f64 y (fabs.f64 y)) (*.f64 y (fabs.f64 y)))
(.f64 (pow.f64 (.f64 y y) #s(literal 1 binary64)) (pow.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (*.f64 y y)))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 x x (*.f64 y y)) (+.f64 y x)) (-.f64 x y))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 x x (*.f64 y y)))
(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (.f64 y y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) (fabs.f64 y)) (fabs.f64 y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) y) y (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (fabs.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x x) x) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 x x) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 y y)))
(fma.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 y y) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (.f64 y y) (*.f64 (-.f64 x y) (+.f64 y x))))
(fma.f64 (.f64 x x) (.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (fma.f64 x x (.f64 y y)) (.f64 x x) (.f64 (fma.f64 x x (.f64 y y)) (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 y y) (.f64 (neg.f64 y) y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))))
(fma.f64 y (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 x (.f64 x (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (.f64 (.f64 (neg.f64 y) y) (fma.f64 x x (.f64 y y))))
(+.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 x x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 y y)))
(+.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 y y)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 x x)))
(+.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 x x)) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 y) y)))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
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(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (fabs.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x x) x) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 x x) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 y y)))
(fma.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 y y) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (.f64 y y) (*.f64 (-.f64 x y) (+.f64 y x))))
(fma.f64 (.f64 x x) (.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (fma.f64 x x (.f64 y y)) (.f64 x x) (.f64 (fma.f64 x x (.f64 y y)) (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 y y) (.f64 (neg.f64 y) y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))))
(fma.f64 y (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 x (.f64 x (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (.f64 (.f64 (neg.f64 y) y) (fma.f64 x x (.f64 y y))))
(+.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 x x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 y y)))
(+.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 y y)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 x x)))
(+.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 x x)) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 y) y)))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval33.0ms (0.5%)

Memory: 9.8MiB live, 54.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 467 to 775 computations (85.8% saved)

prune23.0ms (0.3%)

Memory

-23.6MiB live, 21.3MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	289	8	297
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	291	9	300

Accuracy

100.0%

Counts

300 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
▶	82.0%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (.f64 y y))))
	81.2%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
▶	99.8%	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
▶	66.2%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
	57.0%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
▶	57.0%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
▶	55.3%	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 318 to 184 computations (42.1% saved)

simplify145.0ms (2.1%)

Memory

19.8MiB live, 158.6MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (.f64 y y)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	0	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (.f64 y y))))
cost-diff	0	(-.f64 (.f64 x x) (.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
cost-diff	0	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
cost-diff	4	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))
cost-diff	0	(+.f64 y x)
cost-diff	7	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	228
0	55	228
1	98	222
2	356	210
3	1779	206
4	6547	206
0	8646	206

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (2.7%)

Memory

-33.3MiB live, 178.9MiB allocated; 29ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	28.610324595703045	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.11328125	(/.f64 (/.f64 x y) y)
accuracy	0.142910009768442	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (.f64 y y))))
accuracy	1.2081474446873444	(fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64))
accuracy	12.479443735459665	(.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	0.142910009768442	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
accuracy	4.093729358302059	(-.f64 (.f64 x x) (.f64 y y))
accuracy	27.582585768768748	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(neg.f64 y)
accuracy	0.14453125	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
accuracy	27.45312768334672	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 y y)
accuracy	0.08984375	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
accuracy	0.1171875	(.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))

Samples

163.0ms

256×

valid

Compiler

Compiled 193 to 26 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow: 17.0ms (34.4% of total)

ival-mult: 14.0ms (28.3% of total)

ival-add: 8.0ms (16.2% of total)

ival-div: 4.0ms (8.1% of total)

ival-sub: 4.0ms (8.1% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Counts

21 → 81

Calls

Call 1

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

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

Calls

6 calls:

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

simplify247.0ms (3.7%)

Memory

-17.9MiB live, 203.0MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	861
1	1018	741
2	4291	701
0	8140	686

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 79

Calls

Call 1

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

Outputs
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
y
(+ x y)
(+.f64 x y)
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(+ (* -1 (pow y 3)) (* x (pow y 2)))
(.f64 (.f64 (-.f64 x y) y) y)
(+ (* -1 (pow y 3)) (* x (+ (* -1 (* x y)) (pow y 2))))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (-.f64 x y) y)) y)
(+ (* -1 (pow y 3)) (* x (+ (* x (+ x (* -1 y))) (pow y 2))))
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (-.f64 x y) y)) y (pow.f64 x #s(literal 3 binary64)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
-1
#s(literal -1 binary64)
(- (/ (pow x 2) (pow y 2)) 1)
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) (+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (/ y x) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* -1 (* (pow x 2) y)) (pow x 3))
(.f64 (.f64 (-.f64 x y) x) x)
(+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) x)
(+ (* y (+ (* -1 (pow x 2)) (* y (+ x (* -1 y))))) (pow x 3))
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (-.f64 x y) y)) y (pow.f64 x #s(literal 3 binary64)))
(+ x (* -1 y))
(-.f64 x y)
(+ (* -1 (pow y 4)) (pow x 4))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 0 binary64)) y) y (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) y)
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y) (+.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* (pow y 3) (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))) 1))
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))
(*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)))))
(*.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)) y) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))

rewrite95.0ms (1.4%)

Memory

20.5MiB live, 125.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	200
0	55	186
1	173	178
0	1289	178

Stop Event

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

Counts

21 → 376

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (-.f64 x y))
(.f64 (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) (-.f64 x y))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (*.f64 y y)))
(.f64 (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) (+.f64 x y))
(.f64 (fma.f64 x x (.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(.f64 (-.f64 x y) (.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (.f64 y y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (fabs.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x (.f64 x (-.f64 x y))) (+.f64 x y) (.f64 (.f64 (*.f64 (-.f64 x y) y) y) (+.f64 x y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 x x) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 y y)))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 y y) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (.f64 y y) (fma.f64 (neg.f64 y) y (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (fma.f64 x x (*.f64 y y))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) x (.f64 (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) y))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) y (.f64 (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) x))
(fma.f64 (fma.f64 x x (.f64 y y)) (.f64 x x) (.f64 (fma.f64 x x (.f64 y y)) (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 x x))))
(fma.f64 (+.f64 x y) (.f64 x (.f64 x (-.f64 x y))) (.f64 (+.f64 x y) (.f64 (*.f64 (-.f64 x y) y) y)))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 x (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 y (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))
(fma.f64 y (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 x (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (.f64 y y) (fma.f64 (neg.f64 y) y (.f64 x x))))
(+.f64 (.f64 (.f64 y y) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))))
(+.f64 (.f64 x (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))) (.f64 y (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))))
(+.f64 (.f64 y (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))) (.f64 x (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))))
(+.f64 (.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (.f64 (.f64 (neg.f64 y) y) (fma.f64 x x (.f64 y y))))
(+.f64 (.f64 (.f64 x (.f64 x (-.f64 x y))) (+.f64 x y)) (.f64 (.f64 (.f64 (-.f64 x y) y) y) (+.f64 x y)))
(+.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 y y)))
(+.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 x x)))
(+.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) x) (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) y))
(+.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) y) (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) x))
(+.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 x x)) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 y) y)))
(+.f64 (.f64 (+.f64 x y) (.f64 x (.f64 x (-.f64 x y)))) (.f64 (+.f64 x y) (.f64 (.f64 (-.f64 x y) y) y)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(+.f64 x y)
(+.f64 y x)
(.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))
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eval142.0ms (2.1%)

Memory: -12.6MiB live, 126.8MiB allocated; 22ms collecting garbage
Compiler: Compiled 14 455 to 1 576 computations (89.1% saved)

prune59.0ms (0.9%)

Memory

4.9MiB live, 81.1MiB allocated; 25ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	547	7	554
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	550	13	563

Accuracy

100.0%

Counts

563 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
	75.4%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) x #s(literal -1 binary64)) (*.f64 y y))))
▶	81.2%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
✓	99.8%	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
	40.9%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))))
	63.6%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) #s(approx (- ( x x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
▶	99.1%	(.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
	57.0%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
✓	57.0%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
✓	55.3%	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))
▶	55.2%	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
▶	55.2%	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

Compiler

Compiled 517 to 267 computations (48.4% saved)

simplify177.0ms (2.6%)

Memory

-12.4MiB live, 137.5MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	0	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	0	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))
cost-diff	6	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
cost-diff	7	(.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 y x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
cost-diff	2	(.f64 (.f64 x x) (neg.f64 x))
cost-diff	4	(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
cost-diff	0	(.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
cost-diff	2	(fma.f64 (/.f64 x y) y y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	316
0	62	312
1	140	298
2	530	265
3	2585	257
0	8588	254

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.4%)

Memory

9.1MiB live, 152.4MiB allocated; 18ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x)))
accuracy	0.10384750976844202	(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))
accuracy	0.142910009768442	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
accuracy	15.460939804705163	(.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.109375	(.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 y x)))
accuracy	0.1171875	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))
accuracy	3.223511575167559	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
accuracy	0.0	(neg.f64 x)
accuracy	0.0625	(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
accuracy	0.08203125	(.f64 (.f64 x x) (neg.f64 x))
accuracy	28.610324595703045	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.127285009768442	(.f64 (.f64 x x) (*.f64 x x))
accuracy	28.610324595703045	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))
accuracy	0.0	#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
accuracy	0.08984375	(.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
accuracy	0.1171875	(.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))
accuracy	5.863755512705683	(fma.f64 (/.f64 x y) y y)

Samples

55.0ms

256×

valid

Compiler

Compiled 273 to 32 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 19.0ms (52.3% of total)

ival-add: 6.0ms (16.5% of total)

ival-div: 5.0ms (13.8% of total)

ival-sub: 3.0ms (8.3% of total)

ival-neg: 2.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

21 → 92

Calls

Call 1

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

Outputs
y
(+ x y)
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(/ x y)
(pow x 4)
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))
(pow x 2)
(* -1 (pow x 3))
(* -1 (pow y 5))
(+ (* -1 (pow y 5)) (* x (+ (* -1 (pow y 4)) (* 2 (pow y 4)))))
(+ (* -1 (pow y 5)) (* x (+ (* -1 (pow y 4)) (+ (* 2 (pow y 4)) (* x (+ (* -2 (pow y 3)) (* 2 (pow y 3))))))))
(+ (* -1 (pow y 5)) (* x (+ (* -1 (pow y 4)) (+ (* 2 (pow y 4)) (* x (+ (* -2 (pow y 3)) (+ (* 2 (pow y 3)) (* x (+ (* -2 (pow y 2)) (* 2 (pow y 2)))))))))))
(* -1 (pow y 3))
(+ (* -1 (pow y 3)) (* x (pow y 2)))
(+ (* -1 (pow y 3)) (* x (+ (* -1 (* x y)) (pow y 2))))
(+ (* -1 (pow y 3)) (* x (+ (* x (+ x (* -1 y))) (pow y 2))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(* -1 x)
(+ (* -1 (pow y 2)) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (+ (* -1 (pow x 2)) (pow y 2)) (pow x 2))
x
(* x (+ 1 (/ y x)))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))
(* -1 (pow x 5))
(* (pow x 5) (- (+ (* -1 (/ y x)) (* 2 (/ y x))) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -2 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 3) (pow x 3)))))))) 1))
(pow x 3)
(* (pow x 3) (+ 1 (* -1 (/ y x))))
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
-1
(- (/ (pow y 2) (pow x 2)) 1)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(* -1 (* (pow x 5) (+ 1 (+ (* -2 (/ y x)) (/ y x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (* 2 (/ (pow y 2) x)))) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (+ (* -1 (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (* 2 (/ (pow y 3) x)))) x))) x)))))
(* -1 (* (pow x 3) (- (/ y x) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1)))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))
(+ (* -1 (pow x 5)) (* y (+ (* -1 (pow x 4)) (* 2 (pow x 4)))))
(+ (* -1 (pow x 5)) (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (* 2 (pow x 3))))))))
(+ (* -1 (pow x 5)) (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (pow x 2)))))))))))
(+ (* -1 (* (pow x 2) y)) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (* y (+ x (* -1 y))))) (pow x 3))
(* y (+ 1 (/ x y)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))
(* (pow y 5) (- (+ (* -1 (/ x y)) (* 2 (/ x y))) 1))
(* (pow y 5) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) 1))
(* (pow y 5) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (+ (* 2 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow x 3) (pow y 3)))))))) 1))
(* (pow y 3) (- (/ x y) 1))
(* (pow y 3) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)) 1))
(* (pow y 3) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(* -1 (* (pow y 5) (+ 1 (+ (* -2 (/ x y)) (/ x y)))))
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (+ x (* -2 x))) (* 2 (/ (pow x 2) y)))) y)))))
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -2 x))) (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (+ (* -1 (+ (* -2 (pow x 2)) (* 2 (pow x 2)))) (* 2 (/ (pow x 3) y)))) y))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ (* (/ x y) y) y) (* (+ y x) (* (- x y) (+ (* x x) (* y y)))) (+ y x) (/ x y) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* x x) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (/ (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (- y x)) (* (+ (* x x) (* y y)) (- x y)) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* y y) (- (* x x) (* y y)) (* (- x y) (+ (* x x) (* y y))) (neg x) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1))
3.0ms	x	@	inf	((+ (* (/ x y) y) y) (* (+ y x) (* (- x y) (+ (* x x) (* y y)))) (+ y x) (/ x y) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* x x) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (/ (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (- y x)) (* (+ (* x x) (* y y)) (- x y)) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* y y) (- (* x x) (* y y)) (* (- x y) (+ (* x x) (* y y))) (neg x) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1))
3.0ms	x	@	-inf	((+ (* (/ x y) y) y) (* (+ y x) (* (- x y) (+ (* x x) (* y y)))) (+ y x) (/ x y) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* x x) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (/ (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (- y x)) (* (+ (* x x) (* y y)) (- x y)) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* y y) (- (* x x) (* y y)) (* (- x y) (+ (* x x) (* y y))) (neg x) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1))
3.0ms	x	@	0	((+ (* (/ x y) y) y) (* (+ y x) (* (- x y) (+ (* x x) (* y y)))) (+ y x) (/ x y) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* x x) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (/ (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (- y x)) (* (+ (* x x) (* y y)) (- x y)) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* y y) (- (* x x) (* y y)) (* (- x y) (+ (* x x) (* y y))) (neg x) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1))
2.0ms	y	@	-inf	((+ (* (/ x y) y) y) (* (+ y x) (* (- x y) (+ (* x x) (* y y)))) (+ y x) (/ x y) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* x x) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (/ (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- y x))) (- y x)) (* (+ (* x x) (* y y)) (- x y)) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* y y) (- (* x x) (* y y)) (* (- x y) (+ (* x x) (* y y))) (neg x) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1))

simplify149.0ms (2.2%)

Memory

16.0MiB live, 144.6MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	431	1242
1	1619	1014
0	8511	973

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 90

Calls

Call 1

Inputs
y
(+ x y)
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(/ x y)
(pow x 4)
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))
(+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))
(pow x 2)
(* -1 (pow x 3))
(* -1 (pow y 5))
(+ (* -1 (pow y 5)) (* x (+ (* -1 (pow y 4)) (* 2 (pow y 4)))))
(+ (* -1 (pow y 5)) (* x (+ (* -1 (pow y 4)) (+ (* 2 (pow y 4)) (* x (+ (* -2 (pow y 3)) (* 2 (pow y 3))))))))
(+ (* -1 (pow y 5)) (* x (+ (* -1 (pow y 4)) (+ (* 2 (pow y 4)) (* x (+ (* -2 (pow y 3)) (+ (* 2 (pow y 3)) (* x (+ (* -2 (pow y 2)) (* 2 (pow y 2)))))))))))
(* -1 (pow y 3))
(+ (* -1 (pow y 3)) (* x (pow y 2)))
(+ (* -1 (pow y 3)) (* x (+ (* -1 (* x y)) (pow y 2))))
(+ (* -1 (pow y 3)) (* x (+ (* x (+ x (* -1 y))) (pow y 2))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(* -1 x)
(+ (* -1 (pow y 2)) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (+ (* -1 (pow x 2)) (pow y 2)) (pow x 2))
x
(* x (+ 1 (/ y x)))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))
(* -1 (pow x 5))
(* (pow x 5) (- (+ (* -1 (/ y x)) (* 2 (/ y x))) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -2 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 3) (pow x 3)))))))) 1))
(pow x 3)
(* (pow x 3) (+ 1 (* -1 (/ y x))))
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
-1
(- (/ (pow y 2) (pow x 2)) 1)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(* -1 (* (pow x 5) (+ 1 (+ (* -2 (/ y x)) (/ y x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (* 2 (/ (pow y 2) x)))) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (+ (* -1 (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (* 2 (/ (pow y 3) x)))) x))) x)))))
(* -1 (* (pow x 3) (- (/ y x) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1)))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))
(+ (* -1 (pow x 5)) (* y (+ (* -1 (pow x 4)) (* 2 (pow x 4)))))
(+ (* -1 (pow x 5)) (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (* 2 (pow x 3))))))))
(+ (* -1 (pow x 5)) (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (pow x 2)))))))))))
(+ (* -1 (* (pow x 2) y)) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (* y (+ x (* -1 y))))) (pow x 3))
(* y (+ 1 (/ x y)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))
(* (pow y 5) (- (+ (* -1 (/ x y)) (* 2 (/ x y))) 1))
(* (pow y 5) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) 1))
(* (pow y 5) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (+ (* 2 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow x 3) (pow y 3)))))))) 1))
(* (pow y 3) (- (/ x y) 1))
(* (pow y 3) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)) 1))
(* (pow y 3) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(* -1 (* (pow y 5) (+ 1 (+ (* -2 (/ x y)) (/ x y)))))
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (+ x (* -2 x))) (* 2 (/ (pow x 2) y)))) y)))))
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -2 x))) (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (+ (* -1 (+ (* -2 (pow x 2)) (* 2 (pow x 2)))) (* 2 (/ (pow x 3) y)))) y))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)))))

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

rewrite97.0ms (1.4%)

Memory

-1.8MiB live, 104.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	252
0	62	234
1	214	190
0	1781	190

Stop Event

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

Counts

21 → 400

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (/.f64 x y) y) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (-.f64 (*.f64 (/.f64 x y) y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (*.f64 (/.f64 x y) y) y))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 x y) y) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) y y)
(fma.f64 y (/.f64 x y) y)
(fma.f64 x (/.f64 y y) y)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 x y) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (/.f64 x y) y) y)))
(-.f64 y (*.f64 (neg.f64 (/.f64 x y)) y))
(-.f64 y (*.f64 (neg.f64 y) (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (/.f64 x y) y)) (pow.f64 (.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 x y) y) y)
(+.f64 y (*.f64 (/.f64 x y) y))
(.f64 (.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (fma.f64 y y (*.f64 x x)))
(.f64 (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
(.f64 (-.f64 x y) (.f64 (fma.f64 y y (*.f64 x x)) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
(.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 y x) (-.f64 x y)))
(fma.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 y y) (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (*.f64 x x)))
(fma.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 x x) (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (*.f64 y y)))
(fma.f64 (.f64 x (.f64 x (-.f64 x y))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (.f64 (*.f64 (-.f64 x y) y) y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
(fma.f64 (.f64 y y) (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 (.f64 x x) (*.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))))
(fma.f64 (.f64 x x) (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 (.f64 y y) (*.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))))
(fma.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 x (.f64 x (-.f64 x y))) (.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (*.f64 (-.f64 x y) y) y)))
(+.f64 (.f64 (.f64 y y) (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))) (.f64 (.f64 x x) (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))))
(+.f64 (.f64 (.f64 x x) (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))) (.f64 (.f64 y y) (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))))
(+.f64 (.f64 (.f64 x (.f64 x (-.f64 x y))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 (.f64 (.f64 (-.f64 x y) y) y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
(+.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 y y)) (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 x x)))
(+.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 x x)) (.f64 (.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (.f64 y y)))
(+.f64 (.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 x (.f64 x (-.f64 x y)))) (.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (.f64 (-.f64 x y) y) y)))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
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(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 y x) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))
(fma.f64 (.f64 (-.f64 x y) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 (-.f64 x y) y) y))
(fma.f64 (.f64 (-.f64 x y) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 (-.f64 x y) y) y))
(fma.f64 (.f64 (-.f64 x y) x) x (.f64 (*.f64 (-.f64 x y) y) y))
(fma.f64 (.f64 (-.f64 x y) (neg.f64 y)) (neg.f64 y) (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 (.f64 (-.f64 x y) (fabs.f64 y)) (fabs.f64 y) (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 (.f64 (-.f64 x y) y) y (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (-.f64 x y)) (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 x y)) (.f64 (*.f64 (-.f64 x y) y) y))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (-.f64 x y)) (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 x y)) (.f64 (*.f64 (-.f64 x y) y) y))
(fma.f64 (.f64 y y) (-.f64 x y) (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 (.f64 x x) (-.f64 x y) (.f64 (*.f64 (-.f64 x y) y) y))
(fma.f64 (-.f64 x y) (.f64 y y) (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 (-.f64 x y) (.f64 x x) (.f64 (*.f64 (-.f64 x y) y) y))
(fma.f64 y (.f64 y (-.f64 x y)) (.f64 x (*.f64 x (-.f64 x y))))
(fma.f64 x (.f64 x (-.f64 x y)) (.f64 (*.f64 (-.f64 x y) y) y))
(-.f64 (.f64 x (.f64 x (-.f64 x y))) (.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(-.f64 (.f64 x (.f64 x (-.f64 x y))) (.f64 (neg.f64 (-.f64 x y)) (.f64 y y)))
(+.f64 (.f64 (.f64 (-.f64 x y) y) y) (.f64 x (.f64 x (-.f64 x y))))
(+.f64 (.f64 x (.f64 x (-.f64 x y))) (.f64 (.f64 (-.f64 x y) y) y))
(neg.f64 x)
(.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 x x))
(.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 x x) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 x (.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) x))
(neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (.f64 (.f64 x x) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 (/.f64 y x)) #s(literal 1 binary64)) (-.f64 (fabs.f64 (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) (fabs.f64 x)) (/.f64 (neg.f64 y) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 y) (neg.f64 x)) (/.f64 (fabs.f64 y) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 y) x) (/.f64 (fabs.f64 y) x) #s(literal -1 binary64))
(fma.f64 (/.f64 y (fabs.f64 x)) (/.f64 y (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 y x))) (neg.f64 (fabs.f64 (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 y x))) (fabs.f64 (fabs.f64 (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 y x)) (fabs.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 y (/.f64 (/.f64 y x) x) #s(literal -1 binary64))
(fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))

eval79.0ms (1.2%)

Memory: 8.5MiB live, 99.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 17 178 to 1 860 computations (89.2% saved)

prune21.0ms (0.3%)

Memory

-4.1MiB live, 43.1MiB allocated; 9ms collecting garbage

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	581	3	584
Fresh	0	4	4
Picked	2	3	5
Done	0	4	4
Total	583	14	597

Accuracy

100.0%

Counts

597 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(/.f64 (.f64 (.f64 #s(approx (+ (* x x) (* y y)) (.f64 y y)) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
	74.5%	(/.f64 (.f64 #s(approx ( (+ (* x x) (* y y)) (- x y)) (.f64 (.f64 (-.f64 x y) x) x)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
	75.4%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) x #s(literal -1 binary64)) (*.f64 y y))))
	71.8%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (*.f64 x x))))
✓	99.8%	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
	40.9%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) (.f64 (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))))
	63.6%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) #s(approx (- ( x x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
✓	99.1%	(.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
	57.0%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
✓	57.0%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
✓	55.3%	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))
✓	55.2%	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
✓	55.2%	#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

Compiler

Compiled 792 to 272 computations (65.7% saved)

regimes29.0ms (0.4%)

Memory

2.2MiB live, 46.8MiB allocated; 4ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))

Calls

5 calls:

8.0ms	x
6.0ms	y
5.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
5.0ms	(pow.f64 y #s(literal 4 binary64))
5.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(pow.f64 y #s(literal 4 binary64))`
99.8%	1	`(pow.f64 x #s(literal 4 binary64))`
99.8%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes11.0ms (0.2%)

Memory

-28.7MiB live, 17.6MiB allocated; 1ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))

Calls

5 calls:

3.0ms	(pow.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	y
2.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
87.0%	2	`(pow.f64 y #s(literal 4 binary64))`
82.9%	2	`(pow.f64 x #s(literal 4 binary64))`
91.6%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
83.8%	3	`x`
90.5%	4	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (*.f64 (*.f64 x x) (*.f64 x x)))

#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))

#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

Calls

1 calls:

1.0ms

(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Results

Accuracy	Segments	Branch
91.6%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

Calls

1 calls:

1.0ms

(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Results

Accuracy	Segments	Branch
91.6%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

Outputs
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms	(pow.f64 y #s(literal 4 binary64))
1.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
55.2%	1	`x`
55.2%	1	`(pow.f64 x #s(literal 4 binary64))`
55.2%	1	`(pow.f64 y #s(literal 4 binary64))`
55.2%	1	`y`
55.2%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.470927253768252e-302	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.470927253768252e-302	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.470927253768252e-302	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify48.0ms (0.7%)

Memory

2.6MiB live, 48.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	186
1	72	186
2	243	168
3	1106	168
4	4992	168

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)) #s(approx ( (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)) #s(approx ( (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) #s(approx ( (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

Outputs
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)) #s(approx ( (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)) #s(approx ( (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 (*.f64 x x) x) x)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)) #s(approx ( (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) #s(approx ( (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (.f64 (.f64 x x) (*.f64 x x)))

derivations856.0ms (12.7%)

Memory

-10.5MiB live, 385.6MiB allocated; 129ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	200
0	55	186
1	173	178
0	1289	178
0	6	13
0	9	13
1	34	13
0	231	13
0	63	204
1	195	194
2	803	191
3	7270	189
0	8315	185
0	17	44
1	37	44
2	89	44
3	302	44
4	1435	44
5	6017	44
0	8217	44
0	17	73
0	26	58
1	109	58
0	773	58

Stop Event

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

Compiler

Compiled 184 to 39 computations (78.8% saved)

preprocess103.0ms (1.5%)

Memory: -17.4MiB live, 129.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 382 to 90 computations (76.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample1.6s (23.2%)

explain91.0ms (1.3%)

preprocess15.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize31.0ms (0.5%)

series7.0ms (0.1%)

simplify1.3s (19.3%)

rewrite68.0ms (1%)

eval3.0ms (0%)

prune1.0ms (0%)

simplify455.0ms (6.7%)

localize150.0ms (2.2%)

series8.0ms (0.1%)

simplify354.0ms (5.3%)

rewrite51.0ms (0.8%)

eval33.0ms (0.5%)

prune23.0ms (0.3%)

simplify145.0ms (2.1%)

localize180.0ms (2.7%)

series19.0ms (0.3%)

simplify247.0ms (3.7%)

rewrite95.0ms (1.4%)

eval142.0ms (2.1%)

prune59.0ms (0.9%)

simplify177.0ms (2.6%)

localize97.0ms (1.4%)

series19.0ms (0.3%)

simplify149.0ms (2.2%)

rewrite97.0ms (1.4%)

eval79.0ms (1.2%)

prune21.0ms (0.3%)

regimes29.0ms (0.4%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify48.0ms (0.7%)

derivations856.0ms (12.7%)

preprocess103.0ms (1.5%)

end0.0ms (0%)

Profiling