Metrics for bug329 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
75%	37.5%	12.5%	50%	0%	0%	0%	5
87.5%	43.7%	6.2%	50%	0%	0%	0%	6
87.5%	43.7%	6.2%	50%	0%	0%	0%	7
93.8%	46.8%	3.1%	50%	0%	0%	0%	8
93.8%	46.8%	3.1%	50%	0%	0%	0%	9
96.9%	48.4%	1.6%	50%	0%	0%	0%	10
96.9%	48.4%	1.6%	50%	0%	0%	0%	11
98.4%	49.2%	0.8%	50%	0%	0%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.9s (56.4%)

Memory

11.3MiB live, 592.4MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 870.0ms

ival-atan: 735.0ms (84.5% of total)

ival-div: 99.0ms (11.4% of total)

ival->=: 25.0ms (2.9% of total)

exact: 8.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain81.0ms (2.4%)

Memory

-22.0MiB live, 66.6MiB allocated

FPErrors

Click to see full error table

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

41.0ms

512×

valid

Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (46.4% of total)

ival-atan: 4.0ms (46.4% of total)

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

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

preprocess12.0ms (0.4%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	24	26
2	36	26
3	46	26
4	54	26
5	68	26
6	88	26
7	98	26
8	100	26
0	4	4
0	6	4
0	6	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
0	6	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.7%)

Memory

-20.5MiB live, 17.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y x)
accuracy	0.0078125	(atan.f64 (/.f64 y x))

Samples

20.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

ival-div: 3.0ms (61.4% of total)

ival-atan: 2.0ms (40.9% of total)

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

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

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	168
0	4	168

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite58.0ms (1.7%)

Memory

-8.9MiB live, 28.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	14	7
2	49	7
3	224	7
0	1218	7

Stop Event

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

Counts

2 → 62

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval11.0ms (0.3%)

Memory: 13.0MiB live, 13.0MiB allocated
Compiler: Compiled 850 to 199 computations (76.6% saved)

prune5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Accuracy

100.0%

Counts

111 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(atan.f64 (/.f64 y x))
▶	40.5%	(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
▶	99.8%	(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify154.0ms (4.5%)

Memory

10.3MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
cost-diff	256	(/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
cost-diff	7104	(.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	24	56
1	45	52
2	136	42
3	562	42
4	2652	42
5	3308	42
6	4176	42
7	5199	42
8	6371	42
9	7707	42
0	8045	42

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (5.5%)

Memory

-21.9MiB live, 50.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
accuracy	6.817408385518401	(/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
accuracy	36.0976418383506	(.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy	0.24609375	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))

Samples

105.0ms

256×

valid

Compiler

Compiled 134 to 30 computations (77.6% saved)

Precisions

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

ival-mult: 5.0ms (29% of total)

ival-div: 4.0ms (23.2% of total)

ival-atan: 3.0ms (17.4% of total)

ival-pow: 2.0ms (11.6% of total)

ival-neg: 2.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

6 calls:

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

simplify6.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	516
1	15	516
2	20	516
3	23	516
4	25	516
5	27	516
6	31	516
7	42	516
8	63	516
9	66	516
0	66	516

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

Inputs
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))

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

rewrite145.0ms (4.3%)

Memory

-37.3MiB live, 96.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	24	38
1	69	24
2	328	24
3	2367	24
0	8926	24

Stop Event

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

Counts

7 → 751

Calls

Call 1

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

Outputs
#<batchref>
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eval120.0ms (3.5%)

Memory: 15.6MiB live, 241.6MiB allocated
Compiler: Compiled 13 172 to 1 947 computations (85.2% saved)

prune31.0ms (0.9%)

Memory

-9.2MiB live, 74.9MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	964	1	965
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	965	3	968

Accuracy

100.0%

Counts

968 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

99.8%

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

✓

99.8%

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify15.0ms (0.4%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	34
0	14	28
1	23	23
2	43	19
3	83	19
4	146	19
5	298	19
6	463	19
7	705	19
8	723	19
9	724	19
0	724	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (1.1%)

Memory

-1.7MiB live, 35.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0078125	(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
accuracy	0.21875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy	0.24609375	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))

Samples

30.0ms

256×

valid

Compiler

Compiled 70 to 20 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 18.0ms (80.2% of total)

ival-mult: 2.0ms (8.9% of total)

ival-atan: 2.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((/ 1 (/ -1 y)) (* (/ -1 x) (/ 1 (/ -1 y))) (atan (* (/ -1 x) (/ 1 (/ -1 y)))) (/ -1 x))
0.0ms	y	@	-inf	((/ 1 (/ -1 y)) (* (/ -1 x) (/ 1 (/ -1 y))) (atan (* (/ -1 x) (/ 1 (/ -1 y)))) (/ -1 x))
0.0ms	y	@	0	((/ 1 (/ -1 y)) (* (/ -1 x) (/ 1 (/ -1 y))) (atan (* (/ -1 x) (/ 1 (/ -1 y)))) (/ -1 x))
0.0ms	x	@	0	((/ 1 (/ -1 y)) (* (/ -1 x) (/ 1 (/ -1 y))) (atan (* (/ -1 x) (/ 1 (/ -1 y)))) (/ -1 x))
0.0ms	x	@	-inf	((/ 1 (/ -1 y)) (* (/ -1 x) (/ 1 (/ -1 y))) (atan (* (/ -1 x) (/ 1 (/ -1 y)))) (/ -1 x))

simplify4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	228
1	9	228
2	11	228
3	12	228
4	14	228
5	16	228
6	20	228
7	27	228
8	32	228
9	33	228
0	33	228

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite99.0ms (2.9%)

Memory

-17.5MiB live, 61.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	14	21
1	47	16
2	234	12
3	766	11
0	3653	11

Stop Event

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

Counts

4 → 192

Calls

Call 1

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

Outputs
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eval33.0ms (1%)

Memory: 9.9MiB live, 80.9MiB allocated
Compiler: Compiled 2 657 to 631 computations (76.3% saved)

prune10.0ms (0.3%)

Memory

-7.6MiB live, 30.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	264	3	267

Accuracy

100.0%

Counts

267 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(atan.f64 (/.f64 y x))
▶	50.3%	(atan.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
✓	99.8%	(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(/.f64 (sqrt.f64 y) x)
cost-diff	0	(atan.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
cost-diff	1600	(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	13	15
2	14	15
3	15	15
0	15	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (2%)

Memory

-56.2MiB live, 29.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 y)
accuracy	0.00390625	(atan.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
accuracy	0.0859375	(/.f64 (sqrt.f64 y) x)
accuracy	0.11328125	(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))

Samples

7.0ms	129×	0	valid
6.0ms	127×	0	invalid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-div: 2.0ms (31.1% of total)

ival-sqrt: 2.0ms (31.1% of total)

ival-mult: 1.0ms (15.6% of total)

ival-atan: 1.0ms (15.6% of total)

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

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

series9.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) (patch (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (atan.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))) (patch (atan.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 y) x) (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((* (/ (sqrt y) x) (sqrt y)) (atan (* (/ (sqrt y) x) (sqrt y))) (/ (sqrt y) x) (sqrt y))
1.0ms	y	@	0	((* (/ (sqrt y) x) (sqrt y)) (atan (* (/ (sqrt y) x) (sqrt y))) (/ (sqrt y) x) (sqrt y))
1.0ms	y	@	inf	((* (/ (sqrt y) x) (sqrt y)) (atan (* (/ (sqrt y) x) (sqrt y))) (/ (sqrt y) x) (sqrt y))
1.0ms	x	@	-inf	((* (/ (sqrt y) x) (sqrt y)) (atan (* (/ (sqrt y) x) (sqrt y))) (/ (sqrt y) x) (sqrt y))
1.0ms	x	@	0	((* (/ (sqrt y) x) (sqrt y)) (atan (* (/ (sqrt y) x) (sqrt y))) (/ (sqrt y) x) (sqrt y))

simplify38.0ms (1.1%)

Memory

11.6MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	336
1	45	288
2	115	288
3	291	288
4	993	288
5	1724	288
6	1972	288
7	2003	288
8	2004	288
9	2004	288
0	2004	288

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

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

Outputs
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(/.f64 y x)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(/.f64 y x)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(/.f64 y x)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(/.f64 y x)
(atan (* -1 (/ (* y (pow (sqrt -1) 2)) x)))
(atan.f64 (/.f64 y x))
(atan (* -1 (/ (* y (pow (sqrt -1) 2)) x)))
(atan.f64 (/.f64 y x))
(atan (* -1 (/ (* y (pow (sqrt -1) 2)) x)))
(atan.f64 (/.f64 y x))
(atan (* -1 (/ (* y (pow (sqrt -1) 2)) x)))
(atan.f64 (/.f64 y x))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)

rewrite102.0ms (3%)

Memory

-12.6MiB live, 144.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	23	13
2	88	13
3	433	13
4	3008	13
0	8707	13

Stop Event

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

Counts

4 → 381

Calls

Call 1

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

Outputs
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eval69.0ms (2%)

Memory: 25.2MiB live, 216.6MiB allocated
Compiler: Compiled 7 720 to 1 762 computations (77.2% saved)

prune16.0ms (0.5%)

Memory

7.9MiB live, 45.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	617	0	617
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	617	3	620

Accuracy

100.0%

Counts

620 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(atan.f64 (/.f64 y x))
✓	50.3%	(atan.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
✓	99.8%	(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))

Compiler

Compiled 60 to 42 computations (30% saved)

regimes21.0ms (0.6%)

Memory

-30.4MiB live, 19.7MiB allocated

Accuracy

Total -50.2b remaining (-642277.8%)

Threshold costs -50.2b (-642277.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	y
2.0ms	x
2.0ms	(/.f64 y x)
2.0ms	(atan.f64 (/.f64 y x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(atan.f64 (/.f64 y x))`
100.0%	1	`(/.f64 y x)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify50.0ms (1.5%)

Memory

16.3MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Stop Event

1×

done

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess45.0ms (1.3%)

Memory: -7.6MiB live, 67.7MiB allocated
Compiler: Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	516
1	15	516
2	20	516
3	23	516
4	25	516
5	27	516
6	31	516
7	42	516
8	63	516
9	66	516
0	66	516

Iter	Nodes	Cost
0	9	34
0	14	28
1	23	23
2	43	19
3	83	19
4	146	19
5	298	19
6	463	19
7	705	19
8	723	19
9	724	19
0	724	19

Iter	Nodes	Cost
0	7	228
1	9	228
2	11	228
3	12	228
4	14	228
5	16	228
6	20	228
7	27	228
8	32	228
9	33	228
0	33	228

Iter	Nodes	Cost
0	10	516
1	15	516
2	20	516
3	23	516
4	25	516
5	27	516
6	31	516
7	42	516
8	63	516
9	66	516
0	66	516

Iter	Nodes	Cost
0	9	34
0	14	28
1	23	23
2	43	19
3	83	19
4	146	19
5	298	19
6	463	19
7	705	19
8	723	19
9	724	19
0	724	19

Iter	Nodes	Cost
0	7	228
1	9	228
2	11	228
3	12	228
4	14	228
5	16	228
6	20	228
7	27	228
8	32	228
9	33	228
0	33	228

start0.0ms (0%)

analyze8.0ms (0.2%)

sample1.9s (56.4%)

explain81.0ms (2.4%)

preprocess12.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize24.0ms (0.7%)

series4.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite58.0ms (1.7%)

eval11.0ms (0.3%)

prune5.0ms (0.1%)

simplify154.0ms (4.5%)

localize186.0ms (5.5%)

series11.0ms (0.3%)

simplify6.0ms (0.2%)

rewrite145.0ms (4.3%)

eval120.0ms (3.5%)

prune31.0ms (0.9%)

simplify15.0ms (0.4%)

localize37.0ms (1.1%)

series4.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite99.0ms (2.9%)

eval33.0ms (1%)

prune10.0ms (0.3%)

simplify3.0ms (0.1%)

localize68.0ms (2%)

series9.0ms (0.3%)

simplify38.0ms (1.1%)

rewrite102.0ms (3%)

eval69.0ms (2%)

prune16.0ms (0.5%)

regimes21.0ms (0.6%)

simplify50.0ms (1.5%)

soundness0.0ms (0%)

preprocess45.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	516
1	15	516
2	20	516
3	23	516
4	25	516
5	27	516
6	31	516
7	42	516
8	63	516
9	66	516
0	66	516

Iter	Nodes	Cost
0	9	34
0	14	28
1	23	23
2	43	19
3	83	19
4	146	19
5	298	19
6	463	19
7	705	19
8	723	19
9	724	19
0	724	19

Iter	Nodes	Cost
0	7	228
1	9	228
2	11	228
3	12	228
4	14	228
5	16	228
6	20	228
7	27	228
8	32	228
9	33	228
0	33	228