Metrics for bug329 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze8.0ms (0.6%)

Memory

12.4MiB live, 12.4MiB 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)

sample732.0ms (56.3%)

Memory

26.3MiB live, 815.8MiB allocated

Samples

455.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-div: 132.0ms (53.3% of total)

ival-atan: 62.0ms (25% of total)

ival->=: 43.0ms (17.3% of total)

exact: 7.0ms (2.8% of total)

ival-assert: 4.0ms (1.6% of total)

Bogosity

explain51.0ms (3.9%)

Memory

-10.7MiB live, 70.6MiB 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

24.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 8.0ms (68.7% of total)

ival-atan: 3.0ms (25.8% of total)

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

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

preprocess16.0ms (1.2%)

Memory

-10.0MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`sub-neg`
20×	`+-commutative`
14×	`div-sub`
10×	`*-commutative`
10×	`neg-sub0`

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify3.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB 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))

Rules

2×	`lift-/.f64`
2×	`lower-atan.f32`
2×	`lift-atan.f64`
2×	`lower-/.f32`

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

localize16.0ms (1.2%)

Memory

-5.3MiB live, 32.5MiB 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

12.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (53.4% of total)

ival-atan: 1.0ms (26.7% of total)

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

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

series4.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB 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 (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`lower-atan.f32`
2×	`lower-/.f32`
2×	`lower-/.f64`
2×	`lower-atan.f64`

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)

rewrite63.0ms (4.8%)

Memory

-24.3MiB live, 64.6MiB allocated

Rules

522×	`lower-*.f64`
522×	`lower-*.f32`
470×	`lower-/.f32`
468×	`lower-/.f64`
136×	`lower--.f32`

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>

eval16.0ms (1.2%)

Memory: 30.7MiB live, 30.7MiB allocated
Compiler: Compiled 850 to 199 computations (76.6% saved)

prune6.0ms (0.5%)

Memory

-18.3MiB live, 20.2MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	2	111

Accuracy

100.0%

Counts

111 → 2

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) (neg.f64 y)))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.7%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
80×	`lower-*.f32`
78×	`lower-*.f64`
52×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	21
1	19	19
2	37	15
3	67	15
4	132	15
5	179	15
6	289	15
7	308	15
8	310	15
0	310	15

Stop Event

1×	iter limit
1×	saturated
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

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

localize89.0ms (6.9%)

Memory

-16.2MiB live, 22.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	0.21484375	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))

Samples

14.0ms

256×

valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.9% of total)

ival-mult: 2.0ms (29.9% of total)

ival-neg: 1.0ms (15% of total)

ival-atan: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 72

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>) () ())

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 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 #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 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 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 #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>) () ())) ())

Calls

6 calls:

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

simplify5.0ms (0.4%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`sub-neg`
8×	`lower--.f64`
8×	`lower--.f32`

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
(/ 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))
(* -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 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
(/ 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))
(* -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 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)

rewrite80.0ms (6.2%)

Memory

4.4MiB live, 80.1MiB allocated

Rules

1 082×	`lower-*.f32`
1 080×	`lower-*.f64`
928×	`lower-/.f32`
926×	`lower-/.f64`
512×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	11	18
1	27	16
2	104	12
3	539	12
0	3624	12

Stop Event

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

Counts

4 → 288

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)

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>
#<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>
#<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>
#<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>
#<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>

eval100.0ms (7.7%)

Memory: 9.1MiB live, 81.4MiB allocated
Compiler: Compiled 3 938 to 863 computations (78.1% saved)

prune11.0ms (0.9%)

Memory

-4.8MiB live, 32.6MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	360	0	360
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	360	2	362

Accuracy

100.0%

Counts

362 → 2

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) (neg.f64 y)))

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes6.0ms (0.5%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total -0.1b remaining (-1550%)

Threshold costs -0.1b (-1550%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 y x)
1.0ms	(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)

simplify38.0ms (2.9%)

Memory

-9.6MiB live, 37.0MiB 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

0.6MiB live, 0.6MiB allocated

Stop Event

1×

done

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess40.0ms (3.1%)

Memory: -9.4MiB live, 64.1MiB allocated
Compiler: Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	21
0	11	21
1	19	19
2	37	15
3	67	15
4	132	15
5	179	15
6	289	15
7	308	15
8	310	15
0	310	15

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	7	21
0	11	21
1	19	19
2	37	15
3	67	15
4	132	15
5	179	15
6	289	15
7	308	15
8	310	15
0	310	15

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 (0.6%)

sample732.0ms (56.3%)

explain51.0ms (3.9%)

preprocess16.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.2%)

localize16.0ms (1.2%)

series4.0ms (0.3%)

simplify3.0ms (0.2%)

rewrite63.0ms (4.8%)

eval16.0ms (1.2%)

prune6.0ms (0.5%)

simplify9.0ms (0.7%)

localize89.0ms (6.9%)

series4.0ms (0.3%)

simplify5.0ms (0.4%)

rewrite80.0ms (6.2%)

eval100.0ms (7.7%)

prune11.0ms (0.9%)

regimes6.0ms (0.5%)

simplify38.0ms (2.9%)

soundness0.0ms (0%)

preprocess40.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	21
0	11	21
1	19	19
2	37	15
3	67	15
4	132	15
5	179	15
6	289	15
7	308	15
8	310	15
0	310	15

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