Metrics for atan(x)/atan(y)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.8%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.0s (52.4%)

Memory

5.2MiB live, 559.0MiB allocated

Samples

546.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 341.0ms

ival-atan: 139.0ms (40.8% of total)

ival-<=: 102.0ms (29.9% of total)

ival-div: 60.0ms (17.6% of total)

ival-and: 24.0ms (7% of total)

exact: 12.0ms (3.5% of total)

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

Bogosity

explain103.0ms (5.2%)

Memory

-30.1MiB live, 85.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(atan.f64 x)`
-	-	`(atan.f64 y)`
-	-	`y`
-	-	`(/.f64 (atan.f64 x) (atan.f64 y))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-atan: 6.0ms (56.9% of total)

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

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

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

preprocess15.0ms (0.8%)

Memory

30.1MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	31	31
2	47	31
3	70	31
4	90	31
5	113	31
6	141	31
7	165	31
8	176	31
9	179	31
0	5	5
0	8	5
0	8	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (atan.f64 x) (atan.f64 y))

Outputs
(/.f64 (atan.f64 x) (atan.f64 y))

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (atan.f64 x) (atan.f64 y))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify53.0ms (2.7%)

Memory

-40.0MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (atan.f64 x) (atan.f64 y))
(atan.f64 x)
x
(atan.f64 y)
y

Outputs
(/.f64 (atan.f64 x) (atan.f64 y))
(atan.f64 x)
x
(atan.f64 y)
y

localize19.0ms (1%)

Memory

37.0MiB live, 37.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(atan.f64 y)
accuracy	0.0	(atan.f64 x)
accuracy	0.17578125	(/.f64 (atan.f64 x) (atan.f64 y))

Samples

13.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-atan: 3.0ms (53.2% of total)

ival-div: 2.0ms (35.4% of total)

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

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

series3.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 (atan.f64 x) (atan.f64 y))
(atan.f64 x)
(atan.f64 y)

Outputs
(/ (atan x) (atan y))
(atan x)
(atan y)

Calls

6 calls:

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

simplify3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	5	9

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 3

Calls

Call 1

Inputs
(/ (atan x) (atan y))
(atan x)
(atan y)

Outputs
(/ (atan x) (atan y))
(/.f64 (atan.f64 x) (atan.f64 y))
(atan x)
(atan.f64 x)
(atan y)
(atan.f64 y)

rewrite122.0ms (6.2%)

Memory

5.4MiB live, 39.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	16	9
2	51	9
3	220	9
0	1213	9

Stop Event

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

Counts

3 → 118

Calls

Call 1

Inputs
(/.f64 (atan.f64 x) (atan.f64 y))
(atan.f64 x)
(atan.f64 y)

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

eval14.0ms (0.7%)

Memory: 10.2MiB live, 10.2MiB allocated
Compiler: Compiled 1 329 to 285 computations (78.6% saved)

prune6.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Accuracy

100.0%

Counts

122 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (/.f64 #s(literal -1 binary64) (atan.f64 x)))
	69.4%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x))) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
▶	75.1%	(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)))
✓	99.7%	(/.f64 (atan.f64 x) (atan.f64 y))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (atan.f64 y) (atan.f64 x)))
▶	71.5%	(*.f64 (/.f64 (neg.f64 (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)))) (atan.f64 y))
▶	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (neg.f64 (atan.f64 x)))

Compiler

Compiled 127 to 113 computations (11% saved)

simplify124.0ms (6.3%)

Memory

21.6MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(atan.f64 x)
cost-diff	0	(pow.f64 (atan.f64 x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
cost-diff	7	(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)))
cost-diff	0	(atan.f64 x)
cost-diff	0	(neg.f64 (atan.f64 x))
cost-diff	2	(/.f64 (neg.f64 (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))))
cost-diff	5	(*.f64 (/.f64 (neg.f64 (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)))) (atan.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan.f64 x))
cost-diff	0	(atan.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan.f64 y))
cost-diff	4	(/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (/.f64 #s(literal -1 binary64) (atan.f64 x)))
cost-diff	0	(neg.f64 (atan.f64 x))
cost-diff	0	(atan.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan.f64 y))
cost-diff	3	(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (neg.f64 (atan.f64 x)))
cost-diff	0	(atan.f64 x)
cost-diff	0	(atan.f64 y)
cost-diff	0	(/.f64 (atan.f64 y) (atan.f64 x))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (atan.f64 y) (atan.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	142
0	41	129
1	78	129
2	197	117
3	597	117
4	1914	117
5	3474	117
6	4604	117
7	5914	117
8	7225	117
9	7933	117
0	8019	117

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (3.2%)

Memory

27.8MiB live, 27.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(atan.f64 x)
accuracy	0.03125	(pow.f64 (atan.f64 x) #s(literal 2 binary64))
accuracy	0.16796875	(*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x))
accuracy	15.853682430352817	(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)))
accuracy	0.0	(atan.f64 x)
accuracy	0.0390625	(pow.f64 (atan.f64 y) #s(literal 2 binary64))
accuracy	5.222034929868837	(/.f64 (neg.f64 (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))))
accuracy	13.026339260235432	(*.f64 (/.f64 (neg.f64 (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)))) (atan.f64 y))
accuracy	0.0	(atan.f64 x)
accuracy	0.02734375	(/.f64 #s(literal -1 binary64) (atan.f64 x))
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (atan.f64 y))
accuracy	0.3405075195368841	(/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (/.f64 #s(literal -1 binary64) (atan.f64 x)))
accuracy	0.0	(atan.f64 y)
accuracy	0.0	(atan.f64 x)
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (atan.f64 y))
accuracy	0.31640625	(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (neg.f64 (atan.f64 x)))
accuracy	0.0	(atan.f64 y)
accuracy	0.0	(atan.f64 x)
accuracy	0.15234375	(/.f64 (atan.f64 y) (atan.f64 x))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (/.f64 (atan.f64 y) (atan.f64 x)))

Samples

44.0ms

256×

valid

Compiler

Compiled 144 to 25 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 10.0ms (37.7% of total)

ival-pow2: 5.0ms (18.8% of total)

ival-mult: 4.0ms (15.1% of total)

ival-neg: 4.0ms (15.1% of total)

ival-atan: 3.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (1.8%)

Memory

-74.3MiB live, 7.0MiB allocated

Counts

16 → 12

Calls

Call 1

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

Outputs
(/ (atan x) (atan y))
(/ (atan y) (atan x))
(atan x)
(* -1 (atan x))
(/ -1 (atan x))
(/ (atan x) (pow (atan y) 2))
(* -1 (pow (atan x) 2))
(pow (atan x) 2)
(* -1 (* (atan x) (atan y)))
(atan y)
(/ -1 (atan y))
(pow (atan y) 2)

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((/ 1 (/ (atan y) (atan x))) (/ (atan y) (atan x)) (atan y) (atan x) (* (/ -1 (atan y)) (neg (atan x))) (/ -1 (atan y)) (neg (atan x)) (/ (/ -1 (atan y)) (/ -1 (atan x))) (/ -1 (atan x)) (* (/ (neg (atan x)) (neg (pow (atan y) 2))) (atan y)) (/ (neg (atan x)) (neg (pow (atan y) 2))) (/ (neg (pow (atan x) 2)) (* (neg (atan y)) (atan x))) (neg (pow (atan x) 2)) (pow (atan x) 2) (pow (atan y) 2) (* (neg (atan y)) (atan x)))
4.0ms	y	@	inf	((/ 1 (/ (atan y) (atan x))) (/ (atan y) (atan x)) (atan y) (atan x) (* (/ -1 (atan y)) (neg (atan x))) (/ -1 (atan y)) (neg (atan x)) (/ (/ -1 (atan y)) (/ -1 (atan x))) (/ -1 (atan x)) (* (/ (neg (atan x)) (neg (pow (atan y) 2))) (atan y)) (/ (neg (atan x)) (neg (pow (atan y) 2))) (/ (neg (pow (atan x) 2)) (* (neg (atan y)) (atan x))) (neg (pow (atan x) 2)) (pow (atan x) 2) (pow (atan y) 2) (* (neg (atan y)) (atan x)))
3.0ms	x	@	0	((/ 1 (/ (atan y) (atan x))) (/ (atan y) (atan x)) (atan y) (atan x) (* (/ -1 (atan y)) (neg (atan x))) (/ -1 (atan y)) (neg (atan x)) (/ (/ -1 (atan y)) (/ -1 (atan x))) (/ -1 (atan x)) (* (/ (neg (atan x)) (neg (pow (atan y) 2))) (atan y)) (/ (neg (atan x)) (neg (pow (atan y) 2))) (/ (neg (pow (atan x) 2)) (* (neg (atan y)) (atan x))) (neg (pow (atan x) 2)) (pow (atan x) 2) (pow (atan y) 2) (* (neg (atan y)) (atan x)))
2.0ms	x	@	-inf	((/ 1 (/ (atan y) (atan x))) (/ (atan y) (atan x)) (atan y) (atan x) (* (/ -1 (atan y)) (neg (atan x))) (/ -1 (atan y)) (neg (atan x)) (/ (/ -1 (atan y)) (/ -1 (atan x))) (/ -1 (atan x)) (* (/ (neg (atan x)) (neg (pow (atan y) 2))) (atan y)) (/ (neg (atan x)) (neg (pow (atan y) 2))) (/ (neg (pow (atan x) 2)) (* (neg (atan y)) (atan x))) (neg (pow (atan x) 2)) (pow (atan x) 2) (pow (atan y) 2) (* (neg (atan y)) (atan x)))
2.0ms	y	@	-inf	((/ 1 (/ (atan y) (atan x))) (/ (atan y) (atan x)) (atan y) (atan x) (* (/ -1 (atan y)) (neg (atan x))) (/ -1 (atan y)) (neg (atan x)) (/ (/ -1 (atan y)) (/ -1 (atan x))) (/ -1 (atan x)) (* (/ (neg (atan x)) (neg (pow (atan y) 2))) (atan y)) (/ (neg (atan x)) (neg (pow (atan y) 2))) (/ (neg (pow (atan x) 2)) (* (neg (atan y)) (atan x))) (neg (pow (atan x) 2)) (pow (atan x) 2) (pow (atan y) 2) (* (neg (atan y)) (atan x)))

simplify6.0ms (0.3%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	27	51
2	43	51
3	48	51
4	61	51
5	72	51
6	84	51
7	108	51
8	126	51
9	134	51
10	135	51
0	135	51

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

rewrite103.0ms (5.3%)

Memory

33.7MiB live, 33.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	96
0	41	83
1	131	71
2	619	71
0	3940	71

Stop Event

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

Counts

16 → 1 382

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 4 binary64)))) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 6 binary64)))) (pow.f64 (atan.f64 y) #s(literal 4 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (atan.f64 y)) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 3 binary64)))) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (atan.f64 y)) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)))) (atan.f64 x))
(*.f64 (/.f64 (neg.f64 (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 3 binary64)))) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (atan.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (atan.f64 x)))
(.f64 (.f64 (*.f64 (pow.f64 (atan.f64 y) #s(literal -2 binary64)) (atan.f64 x)) (sqrt.f64 (atan.f64 y))) (sqrt.f64 (atan.f64 y)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (atan.f64 y)) (neg.f64 (atan.f64 x))) (atan.f64 x))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (atan.f64 y)) #s(literal -1 binary64)) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (atan.f64 y)) (atan.f64 x)) (neg.f64 (atan.f64 x)))
(.f64 (.f64 (pow.f64 (atan.f64 y) #s(literal -1 binary64)) (sqrt.f64 (atan.f64 x))) (sqrt.f64 (atan.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 x) (atan.f64 y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (atan.f64 x) (atan.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (atan.f64 x)) (sqrt.f64 (atan.f64 y))) (/.f64 (sqrt.f64 (atan.f64 x)) (sqrt.f64 (atan.f64 y))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (sqrt.f64 (atan.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (sqrt.f64 (atan.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (atan.f64 x))) (/.f64 (/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (atan.f64 y)) (sqrt.f64 (atan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (atan.f64 x))) (/.f64 (/.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) (atan.f64 y)) (sqrt.f64 (atan.f64 x))))
(*.f64 (/.f64 (atan.f64 x) (neg.f64 (atan.f64 x))) (/.f64 (neg.f64 (atan.f64 x)) (atan.f64 y)))
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(.f64 (.f64 (atan.f64 x) (sqrt.f64 (atan.f64 x))) (sqrt.f64 (atan.f64 x)))
(*.f64 (pow.f64 (neg.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (atan.f64 x)) (.f64 (sqrt.f64 (atan.f64 x)) (atan.f64 x)))
(*.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (atan.f64 x)) (neg.f64 (atan.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))))
(*.f64 (atan.f64 x) (atan.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (atan.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (atan.f64 x)))
(pow.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (atan.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (atan.f64 x) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (atan.f64 x) #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 (atan.f64 x) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (atan.f64 x) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (atan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (atan.f64 x) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 4 binary64)))) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 6 binary64)))) (pow.f64 (atan.f64 x) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 4 binary64)))) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 6 binary64)))) (pow.f64 (atan.f64 x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (atan.f64 x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 6 binary64))) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)))))
(neg.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (atan.f64 x) (sqrt.f64 (atan.f64 x))) (sqrt.f64 (atan.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (atan.f64 x)) (*.f64 (sqrt.f64 (atan.f64 x)) (atan.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (atan.f64 x)) (neg.f64 (atan.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (atan.f64 x) (atan.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (atan.f64 x)) (log.f64 (atan.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (atan.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(.f64 (.f64 (atan.f64 y) (sqrt.f64 (atan.f64 y))) (sqrt.f64 (atan.f64 y)))
(.f64 (sqrt.f64 (atan.f64 y)) (.f64 (sqrt.f64 (atan.f64 y)) (atan.f64 y)))
(*.f64 (neg.f64 (atan.f64 y)) (neg.f64 (atan.f64 y)))
(*.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))))
(*.f64 (atan.f64 y) (atan.f64 y))
(*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (atan.f64 y)))
(pow.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (atan.f64 y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 4 binary64)))) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 6 binary64)))) (pow.f64 (atan.f64 y) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (atan.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (atan.f64 y) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (atan.f64 y) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (atan.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (atan.f64 y) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (atan.f64 y) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 4 binary64)))) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 6 binary64)))) (pow.f64 (atan.f64 y) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (atan.f64 y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 6 binary64))) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 y) #s(literal -2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))))
(fma.f64 (*.f64 (atan.f64 y) (sqrt.f64 (atan.f64 y))) (sqrt.f64 (atan.f64 y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (atan.f64 y)) (*.f64 (sqrt.f64 (atan.f64 y)) (atan.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (atan.f64 y)) (neg.f64 (atan.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (atan.f64 y) (atan.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (atan.f64 y)) (log.f64 (atan.f64 y))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (atan.f64 y)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(+.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(.f64 (.f64 (neg.f64 (atan.f64 y)) (sqrt.f64 (atan.f64 x))) (sqrt.f64 (atan.f64 x)))
(.f64 (.f64 (neg.f64 (atan.f64 x)) (sqrt.f64 (atan.f64 y))) (sqrt.f64 (atan.f64 y)))
(.f64 (sqrt.f64 (atan.f64 x)) (.f64 (sqrt.f64 (atan.f64 x)) (neg.f64 (atan.f64 y))))
(.f64 (sqrt.f64 (atan.f64 y)) (.f64 (sqrt.f64 (atan.f64 y)) (neg.f64 (atan.f64 x))))
(.f64 (.f64 (atan.f64 x) (atan.f64 y)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x))
(*.f64 (neg.f64 (atan.f64 x)) (atan.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (atan.f64 x) (atan.f64 y)))
(*.f64 (atan.f64 x) (neg.f64 (atan.f64 y)))
(*.f64 (atan.f64 y) (neg.f64 (atan.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (atan.f64 x) (atan.f64 y)) (.f64 (atan.f64 x) (atan.f64 y)))) (.f64 (atan.f64 x) (atan.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan.f64 x) (atan.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (atan.f64 x) (atan.f64 y)) (.f64 (atan.f64 x) (atan.f64 y)) (.f64 #s(literal 0 binary64) (*.f64 (atan.f64 x) (atan.f64 y))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 3 binary64))) (atan.f64 x)) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan.f64 y) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 3 binary64)))) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan.f64 y) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)))) (atan.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 3 binary64))) (atan.f64 y)) (pow.f64 (atan.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (atan.f64 y)) (atan.f64 x))
(/.f64 (*.f64 (atan.f64 x) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 3 binary64)))) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan.f64 x) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)))) (atan.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64))) (atan.f64 x)) (atan.f64 y))
(/.f64 (*.f64 (atan.f64 x) (atan.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (atan.f64 y)) (pow.f64 (atan.f64 x) #s(literal -1 binary64)))
(/.f64 (atan.f64 x) (/.f64 #s(literal -1 binary64) (atan.f64 y)))
(/.f64 (atan.f64 y) (/.f64 #s(literal -1 binary64) (atan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (atan.f64 y)))
(neg.f64 (*.f64 (atan.f64 x) (atan.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (atan.f64 x) (atan.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)))

eval174.0ms (8.9%)

Memory: -18.9MiB live, 115.0MiB allocated
Compiler: Compiled 21 612 to 3 280 computations (84.8% saved)

prune33.0ms (1.7%)

Memory

-28.8MiB live, 53.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 378	8	1 386
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	1 381	12	1 393

Accuracy

100.0%

Counts

1 393 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.1%	(/.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) (*.f64 (atan.f64 x) (atan.f64 y)))
	77.6%	(/.f64 (/.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) (atan.f64 y)) (atan.f64 x))
✓	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (/.f64 #s(literal -1 binary64) (atan.f64 x)))
✓	99.7%	(/.f64 (atan.f64 x) (atan.f64 y))
✓	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (atan.f64 y) (atan.f64 x)))
	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (neg.f64 (atan.f64 y))))
	75.0%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (atan.f64 y)) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))))
	71.5%	(*.f64 (/.f64 (atan.f64 x) (pow.f64 (atan.f64 y) #s(literal 2 binary64))) (atan.f64 y))
	52.8%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (atan.f64 y))) (/.f64 (atan.f64 x) (sqrt.f64 (atan.f64 y))))
	44.8%	(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (neg.f64 (pow.f64 (sqrt.f64 (atan.f64 x)) #s(literal 2 binary64))))
✓	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (neg.f64 (atan.f64 x)))
	71.3%	(.f64 (.f64 (pow.f64 (atan.f64 y) #s(literal -2 binary64)) (atan.f64 x)) (atan.f64 y))

Compiler

Compiled 267 to 150 computations (43.8% saved)

regimes17.0ms (0.9%)

Memory

13.0MiB live, 13.0MiB allocated

Accuracy

Total -55.9b remaining (-31787%)

Threshold costs -55.9b (-31787%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (atan.f64 x) (atan.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (neg.f64 (atan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (atan.f64 y) (atan.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (neg.f64 (atan.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (/.f64 #s(literal -1 binary64) (atan.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 y)) (neg.f64 (pow.f64 (sqrt.f64 (atan.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (atan.f64 y))) (/.f64 (atan.f64 x) (sqrt.f64 (atan.f64 y))))
(.f64 (.f64 (pow.f64 (atan.f64 y) #s(literal -2 binary64)) (atan.f64 x)) (atan.f64 y))
(*.f64 (/.f64 (atan.f64 x) (pow.f64 (atan.f64 y) #s(literal 2 binary64))) (atan.f64 y))
(/.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) (*.f64 (atan.f64 x) (atan.f64 y)))
(*.f64 (/.f64 (neg.f64 (atan.f64 x)) (neg.f64 (pow.f64 (atan.f64 y) #s(literal 2 binary64)))) (atan.f64 y))
(/.f64 (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (atan.f64 y)) (atan.f64 x))) (pow.f64 (atan.f64 y) #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64)) (atan.f64 y)) (atan.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 x)) (atan.f64 y)) (neg.f64 (pow.f64 (atan.f64 x) #s(literal 2 binary64))))

Outputs
(/.f64 (atan.f64 x) (atan.f64 y))

Calls

5 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.f64 (atan.f64 x) (atan.f64 y))
3.0ms	(atan.f64 y)
3.0ms	(atan.f64 x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 (atan.f64 x) (atan.f64 y))`
99.7%	1	`(atan.f64 x)`
99.7%	1	`(atan.f64 y)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

simplify9.0ms (0.5%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (atan.f64 x) (atan.f64 y))

Outputs
(/.f64 (atan.f64 x) (atan.f64 y))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess13.0ms (0.7%)

Memory: 9.0MiB live, 9.0MiB allocated
Compiler: Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	31	31
2	47	31
3	70	31
4	90	31
5	113	31
6	141	31
7	165	31
8	176	31
9	179	31
0	5	5
0	8	5
0	8	5

Iter	Nodes	Cost
0	17	51
1	27	51
2	43	51
3	48	51
4	61	51
5	72	51
6	84	51
7	108	51
8	126	51
9	134	51
10	135	51
0	135	51

Iter	Nodes	Cost
0	13	31
1	31	31
2	47	31
3	70	31
4	90	31
5	113	31
6	141	31
7	165	31
8	176	31
9	179	31
0	5	5
0	8	5
0	8	5

Iter	Nodes	Cost
0	17	51
1	27	51
2	43	51
3	48	51
4	61	51
5	72	51
6	84	51
7	108	51
8	126	51
9	134	51
10	135	51
0	135	51

start0.0ms (0%)

analyze16.0ms (0.8%)

sample1.0s (52.4%)

explain103.0ms (5.2%)

preprocess15.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (2.7%)

localize19.0ms (1%)

series3.0ms (0.2%)

simplify3.0ms (0.1%)

rewrite122.0ms (6.2%)

eval14.0ms (0.7%)

prune6.0ms (0.3%)

simplify124.0ms (6.3%)

localize63.0ms (3.2%)

series36.0ms (1.8%)

simplify6.0ms (0.3%)

rewrite103.0ms (5.3%)

eval174.0ms (8.9%)

prune33.0ms (1.7%)

regimes17.0ms (0.9%)

simplify9.0ms (0.5%)

soundness0.0ms (0%)

preprocess13.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	31	31
2	47	31
3	70	31
4	90	31
5	113	31
6	141	31
7	165	31
8	176	31
9	179	31
0	5	5
0	8	5
0	8	5

Iter	Nodes	Cost
0	17	51
1	27	51
2	43	51
3	48	51
4	61	51
5	72	51
6	84	51
7	108	51
8	126	51
9	134	51
10	135	51
0	135	51