atan(y / x) / (2*PI)

Time bar (total: 23.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze31.0ms (0.1%)

Memory
-1.4MiB live, 6.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.1%74.9%0%0%0%0
0%0%25.1%74.9%0%0%0%1
0%0%25.1%74.9%0%0%0%2
50%12.5%12.5%74.9%0%0%0%3
50%12.5%12.5%74.9%0%0%0%4
75%18.8%6.3%74.9%0%0%0%5
75%18.8%6.3%74.9%0%0%0%6
87.5%21.9%3.1%74.9%0%0%0%7
87.5%21.9%3.1%74.9%0%0%0%8
93.8%23.5%1.6%74.9%0%0%0%9
93.8%23.5%1.6%74.9%0%0%0%10
96.9%24.3%0.8%74.9%0%0%0%11
96.9%24.3%0.8%74.9%0%0%0%12
Compiler

Compiled 24 to 18 computations (25% saved)

sample887.0ms (3.8%)

Memory
-5.0MiB live, 311.7MiB allocated
Samples
572.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 376.0ms
ival-div: 121.0ms (32.2% of total)
ival-<=: 83.0ms (22.1% of total)
ival-mult: 52.0ms (13.8% of total)
ival-atan: 49.0ms (13% of total)
ival-pi: 32.0ms (8.5% of total)
ival-and: 23.0ms (6.1% of total)
exact: 14.0ms (3.7% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain70.0ms (0.3%)

Memory
0.0MiB live, 38.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 2 binary64)
00-0-(atan.f64 (/.f64 y x))
00-0-(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
00-0-y
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-(PI.f64)
00-0-(/.f64 y x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
30.0ms512×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (44.3% of total)
ival-atan: 3.0ms (19% of total)
ival-mult: 3.0ms (19% of total)
ival-pi: 2.0ms (12.7% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.1%)

Memory
-1.5MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Rules
64×sub-neg
52×div-sub
42×+-commutative
42×associate-/r*
24×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
14444
28044
312244
416144
518844
622644
726444
828144
928244
088
0138
1168
2188
0188
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
Outputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify4.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (PI.f64))
cost-diff0
(/.f64 y x)
cost-diff0
(atan.f64 (/.f64 y x))
cost-diff0
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
Rules
12×lower-/.f32
8×lower-/.f64
4×lift-/.f64
4×lower-*.f32
4×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
11622
21822
01822
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
Outputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)

localize26.0ms (0.1%)

Memory
-6.3MiB live, 8.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) (PI.f64))
accuracy0
(PI.f64)
accuracy0.00390625
(atan.f64 (/.f64 y x))
accuracy0.16015625
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
Samples
16.0ms256×0valid
Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.2% of total)
ival-mult: 2.0ms (25.6% of total)
ival-atan: 1.0ms (12.8% of total)
ival-pi: 1.0ms (12.8% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) (PI.f64))>
#<alt (PI.f64)>
Outputs
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ y x)
1.0ms
y
@-inf
(/ (atan (/ y x)) (* 2 (PI)))
1.0ms
y
@inf
(/ (atan (/ y x)) (* 2 (PI)))
1.0ms
y
@0
(/ (atan (/ y x)) (* 2 (PI)))
1.0ms
x
@-inf
(/ (atan (/ y x)) (* 2 (PI)))

simplify7.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
1×egg-herbie
Rules
12×lower-*.f64
12×lower-*.f32
8×lower-/.f32
8×lower-/.f64
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08360
111360
213360
315360
416360
016360
Stop Event
1×iter limit
1×saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(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))
(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))
(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))
(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))
(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))
(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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite89.0ms (0.4%)

Memory
-1.0MiB live, 22.3MiB allocated
Rules
642×lower-*.f64
642×lower-*.f32
612×lower-/.f32
608×lower-/.f64
608×frac-times
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0819
01319
14519
223419
3164015
01052815
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 112
Calls
Call 1
Inputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)))
(/.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (atan.f64 (/.f64 (neg.f64 y) x)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (atan.f64 (/.f64 y x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64)))
(/.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (atan.f64 (/.f64 y x)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (atan.f64 (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (atan.f64 (/.f64 y x)))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (atan.f64 (/.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))) (atan.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))) (atan.f64 (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (atan.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)))) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))) (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (atan.f64 (/.f64 (neg.f64 y) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))
(atan.f64 (/.f64 y x))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (atan.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))) (atan.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan.f64 (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (neg.f64 y) x))))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal -1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (atan.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) x))
(/.f64 y x)
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) y)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) x))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 x) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 x (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y))) (*.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
(PI.f64)

eval20.0ms (0.1%)

Memory
-0.3MiB live, 15.7MiB allocated
Compiler

Compiled 2 110 to 349 computations (83.5% saved)

prune23.0ms (0.1%)

Memory
5.1MiB live, 20.7MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1759184
Fresh000
Picked011
Done000
Total17510185
Accuracy
99.9%
Counts
185 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (atan.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (PI.f64)))
99.7%
(/.f64 (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
▶99.7%
(/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
▶58.0%
(/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
57.9%
(/.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
✓99.7%
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
▶99.7%
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
▶99.7%
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
▶17.7%
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
99.7%
#s(approx (/ (atan (/ y x)) (* 2 (PI))) (*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 272 to 204 computations (25% saved)

simplify169.0ms (0.7%)

Memory
-1.6MiB live, 30.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff256
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
cost-diff320
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
cost-diff1024
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
cost-diff1152
(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
cost-diff0
(/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
cost-diff256
(*.f64 (neg.f64 x) (neg.f64 y))
cost-diff896
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
cost-diff0
(/.f64 x y)
cost-diff0
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff0
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(/.f64 y x)
cost-diff0
(atan.f64 (/.f64 y x))
cost-diff0
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
cost-diff0
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
Rules
2 088×lower-*.f32
2 076×lower-*.f64
1 842×div-sub
1 520×lower-fma.f64
1 520×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034245
062178
1119146
2290144
31162144
41894144
52773144
63289144
73460144
83572144
93654144
104477144
116586144
127398144
137751144
08013144
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
#s(literal 0 binary64)
(*.f64 (neg.f64 x) (neg.f64 y))
(neg.f64 x)
x
(neg.f64 y)
y
(*.f64 (neg.f64 x) x)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
#s(literal 0 binary64)
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(neg.f64 x)
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
Outputs
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(atan.f64 (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 y x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(atan.f64 (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
#s(literal 1 binary64)
(/.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)))
(atan.f64 (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 y x)
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 x (neg.f64 y))
#s(literal 0 binary64)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 x y)
(neg.f64 x)
x
(neg.f64 y)
y
(*.f64 (neg.f64 x) x)
(*.f64 x (neg.f64 x))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
(atan.f64 (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(/.f64 y x)
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
x
(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(neg.f64 x)
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 x x) y)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)

localize108.0ms (0.5%)

Memory
-3.5MiB live, 44.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
accuracy0.16015625
(/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy0.19140625
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
accuracy13.636538331718537
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
accuracy0
(PI.f64)
accuracy0.00390625
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)))
accuracy0.16015625
(/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy34.69139138591237
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
accuracy0
(PI.f64)
accuracy0.00390625
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy0.16015625
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0
(/.f64 y x)
accuracy0
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
accuracy0.00390625
(atan.f64 (/.f64 y x))
accuracy0
(PI.f64)
accuracy0.00390625
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy0.16015625
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy0.234375
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
Samples
66.0ms256×0valid
Compiler

Compiled 247 to 36 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 24.0ms (53.2% of total)
ival-mult: 10.0ms (22.1% of total)
ival-atan: 6.0ms (13.3% of total)
ival-neg: 2.0ms (4.4% of total)
ival-sub: 2.0ms (4.4% of total)
ival-pi: 1.0ms (2.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-0.2MiB live, 6.8MiB allocated
Counts
23 → 516
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))>
#<alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))>
#<alt (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))>
#<alt (*.f64 (neg.f64 x) (neg.f64 y))>
#<alt (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))>
#<alt (/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))>
#<alt (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))>
#<alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))>
#<alt (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))>
#<alt (PI.f64)>
#<alt (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)))>
#<alt (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))) (*.f64 #s(literal 2 binary64) (PI.f64)))>
#<alt (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))>
Outputs
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (* 1/2 (atan (/ y x)))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (* 1/2 (/ (atan (/ y x)) (PI)))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
Calls

129 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ x y)
0.0ms
y
@0
(* (neg x) (/ x (neg y)))
0.0ms
x
@0
(* (neg x) (/ x (neg y)))
0.0ms
x
@-inf
(/ x y)
0.0ms
x
@inf
(* (neg x) (/ x (neg y)))

simplify29.0ms (0.1%)

Memory
0.8MiB live, 8.6MiB allocated
Algorithm
1×egg-herbie
Rules
42×lower-*.f64
42×lower-*.f32
40×lower-+.f64
40×lower-+.f32
30×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0192196
1292196
2442196
3502196
4542196
5662196
6782196
7892196
81102196
91242196
101262196
01262196
Stop Event
1×iter limit
1×saturated
Counts
516 → 492
Calls
Call 1
Inputs
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(* 1/2 (atan (/ y x)))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(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))
(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))
(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))
(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))
(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))
(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)
(/ 1 x)
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(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(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))
(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))
(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))
(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))
(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))
(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))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 1/2 (/ (atan (/ y x)) (PI)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(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))
(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))
(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))
(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))
(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))
(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))

rewrite344.0ms (1.5%)

Memory
-9.4MiB live, 174.8MiB allocated
Rules
4 030×lower-*.f32
4 018×lower-*.f64
3 472×lower-fma.f64
3 472×lower-fma.f32
3 194×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034195
062103
122394
2128894
0859594
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 3 647
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(atan.f64 (/.f64 y x))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
(PI.f64)
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)))
(/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
Outputs
(+.f64 (/.f64 y x) #s(literal 0 binary64))
(+.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y (*.f64 x x))) (/.f64 y (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 y (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 x x) y)))) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y)) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))))) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) y)) (/.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x x) y))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 0 binary64))) (/.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 y (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 x (/.f64 y (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 y (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 y (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 y (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 x x) y)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 x x) y)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 x x) y)))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(neg.f64 (neg.f64 (atan.f64 (/.f64 y x))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (atan.f64 (/.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (PI.f64) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (PI.f64) #s(literal -2 binary64))))
(neg.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (PI.f64) #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (PI.f64) #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (atan.f64 (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (atan.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (atan.f64 (/.f64 y x)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 y x))))
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (atan.f64 (/.f64 y x))))
(/.f64 (neg.f64 (atan.f64 (/.f64 y x))) (*.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 y x)) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (atan.f64 (/.f64 y x)))) (*.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 y x)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (atan.f64 (/.f64 y x))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 y x))) (PI.f64)) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 y x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(/.f64 (/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(/.f64 (/.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (atan.f64 (/.f64 y x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (atan.f64 (/.f64 y x)) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (PI.f64) #s(literal -2 binary64))))
(*.f64 (neg.f64 (atan.f64 (/.f64 y x))) (/.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (atan.f64 (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 (atan.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (atan.f64 (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))))
(*.f64 (/.f64 (atan.f64 (/.f64 y x)) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (atan.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (atan.f64 (/.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (atan.f64 (/.f64 y x))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (atan.f64 (/.f64 y x)))) (/.f64 #s(literal -1/2 binary64) (PI.f64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(neg.f64 (neg.f64 (atan.f64 (/.f64 y x))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan.f64 (/.f64 y x))))

eval457.0ms (2%)

Memory
45.1MiB live, 325.2MiB allocated
Compiler

Compiled 95 022 to 7 632 computations (92% saved)

prune359.0ms (1.5%)

Memory
-22.1MiB live, 300.2MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New4 276164 292
Fresh404
Picked235
Done011
Total4 282204 302
Accuracy
100.0%
Counts
4 302 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))))
✓99.7%
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
92.0%
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
✓99.7%
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
99.6%
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
31.3%
(/.f64 (atan.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
46.8%
(/.f64 (atan.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
92.1%
(/.f64 (atan.f64 (*.f64 (/.f64 y (*.f64 x x)) x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
92.0%
(/.f64 (atan.f64 (*.f64 (/.f64 x (*.f64 x x)) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
58.0%
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
98.8%
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
98.4%
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
✓99.7%
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
57.4%
(/.f64 (atan.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 x x) y)))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
99.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 y x))))
99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (atan.f64 (/.f64 y x)))
11.0%
(*.f64 (atan.f64 (/.f64 (*.f64 x y) (*.f64 x x))) #s(literal 1/2 binary64))
✓17.7%
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
17.0%
(*.f64 (atan.f64 (*.f64 (/.f64 y (*.f64 x x)) x)) #s(literal 1/2 binary64))
17.7%
(*.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(literal 1/2 binary64))
Compiler

Compiled 609 to 318 computations (47.8% saved)

regimes29.0ms (0.1%)

Memory
2.4MiB live, 18.1MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (*.f64 (/.f64 y (*.f64 x x)) x)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (/.f64 (*.f64 x y) (*.f64 x x))) #s(literal 1/2 binary64))
#s(approx (/ (atan (/ y x)) (* 2 (PI))) (*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (atan.f64 (/.f64 y x)))
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 y x))))
(/.f64 (atan.f64 (*.f64 (/.f64 x (*.f64 x x)) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (*.f64 (/.f64 y (*.f64 x x)) x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (atan.f64 (/.f64 y x))))
(/.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (atan.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) y)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 x x) y)))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))) (*.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (atan.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (PI.f64)))
Outputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
Calls

5 calls:

6.0ms
y
6.0ms
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
6.0ms
(/.f64 y x)
5.0ms
x
5.0ms
(atan.f64 (/.f64 y x))
Results
AccuracySegmentsBranch
99.7%1y
99.7%1x
99.7%1(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
99.7%1(atan.f64 (/.f64 y x))
99.7%1(/.f64 y x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes10.0ms (0%)

Memory
1.3MiB live, 9.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (*.f64 (/.f64 y (*.f64 x x)) x)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (/.f64 (*.f64 x y) (*.f64 x x))) #s(literal 1/2 binary64))
#s(approx (/ (atan (/ y x)) (* 2 (PI))) (*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (atan.f64 (/.f64 y x)))
Outputs
#s(approx (/ (atan (/ y x)) (* 2 (PI))) (*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64))))
Calls

5 calls:

2.0ms
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
2.0ms
(/.f64 y x)
2.0ms
y
2.0ms
x
2.0ms
(atan.f64 (/.f64 y x))
Results
AccuracySegmentsBranch
99.7%1y
99.7%1x
99.7%1(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
99.7%1(atan.f64 (/.f64 y x))
99.7%1(/.f64 y x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes8.0ms (0%)

Memory
0.7MiB live, 8.6MiB allocated
Accuracy

Total -4.3b remaining (-8.1%)

Threshold costs -4.3b (-8.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (*.f64 (/.f64 y (*.f64 x x)) x)) #s(literal 1/2 binary64))
(*.f64 (atan.f64 (/.f64 (*.f64 x y) (*.f64 x x))) #s(literal 1/2 binary64))
Outputs
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
Calls

5 calls:

2.0ms
(/.f64 y x)
2.0ms
(atan.f64 (/.f64 y x))
2.0ms
y
2.0ms
x
1.0ms
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
Results
AccuracySegmentsBranch
17.7%1y
17.7%1x
17.7%1(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
17.7%1(atan.f64 (/.f64 y x))
17.7%1(/.f64 y x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify9.0ms (0%)

Memory
-3.9MiB live, 4.0MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01831
12131
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (/ (atan (/ y x)) (* 2 (PI))) (*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
Outputs
(/.f64 (atan.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (/ (atan (/ y x)) (* 2 (PI))) (*.f64 (atan.f64 (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))

soundness20.4s (88.1%)

Memory
76.4MiB live, 83.5MiB allocated
Rules
642×lower-*.f64
642×lower-*.f32
612×lower-/.f32
608×lower-/.f64
608×frac-times
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
08360
111360
213360
315360
416360
016360
0819
01319
14519
223419
3164015
01052815
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 35 to 20 computations (42.9% saved)

preprocess34.0ms (0.1%)

Memory
-72.9MiB live, 27.1MiB allocated
Compiler

Compiled 70 to 40 computations (42.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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