bug329 (missed optimization)

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze14.0ms (1.2%)

Memory
-25.5MiB live, 13.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
75%37.5%12.5%50%0%0%0%5
87.5%43.7%6.2%50%0%0%0%6
87.5%43.7%6.2%50%0%0%0%7
93.8%46.8%3.1%50%0%0%0%8
93.8%46.8%3.1%50%0%0%0%9
96.9%48.4%1.6%50%0%0%0%10
96.9%48.4%1.6%50%0%0%0%11
98.4%49.2%0.8%50%0%0%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample605.0ms (49.9%)

Memory
35.5MiB live, 854.6MiB allocated
Samples
382.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-div: 74.0ms (45.2% of total)
ival-atan: 47.0ms (28.7% of total)
ival->=: 31.0ms (18.9% of total)
exact: 7.0ms (4.3% of total)
ival-assert: 4.0ms (2.4% of total)
Bogosity

explain45.0ms (3.7%)

Memory
8.1MiB live, 83.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 y x)
00-0-y
00-0-(atan.f64 (/.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
27.0ms512×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-atan: 6.0ms (56.9% of total)
ival-div: 4.0ms (38% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (2%)

Memory
-34.7MiB live, 26.0MiB allocated
Algorithm
1×egg-herbie
Rules
30×sub-neg
20×+-commutative
14×div-sub
10×*-commutative
10×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12426
23626
34626
45426
56826
68826
79826
810026
044
064
064
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))
Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.3%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(atan.f64 (/.f64 y x))
Rules
2×lift-/.f64
2×lower-atan.f32
2×lift-atan.f64
2×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
069
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x
Outputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x

localize17.0ms (1.4%)

Memory
-5.2MiB live, 31.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0.01171875
(atan.f64 (/.f64 y x))
Samples
13.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-atan: 5.0ms (67.8% of total)
ival-div: 2.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.3%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())
Outputs
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (/.f64 y x)) (patch (atan.f64 (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((atan (/ y x)) (/ y x))
1.0ms
y
@inf
((atan (/ y x)) (/ y x))
1.0ms
x
@inf
((atan (/ y x)) (/ y x))
0.0ms
x
@-inf
((atan (/ y x)) (/ y x))
0.0ms
y
@0
((atan (/ y x)) (/ y x))

simplify3.0ms (0.3%)

Memory
7.6MiB live, 7.5MiB allocated
Algorithm
1×egg-herbie
Rules
2×lower-atan.f32
2×lower-/.f32
2×lower-/.f64
2×lower-atan.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04168
04168
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite60.0ms (4.9%)

Memory
19.6MiB live, 95.9MiB allocated
Rules
522×lower-*.f64
522×lower-*.f32
470×lower-/.f32
468×lower-/.f64
136×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1147
2497
32247
012187
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 62
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
Outputs
(*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(atan.f64 (/.f64 y x))
(-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x))
(/.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 -1 binary64) (neg.f64 (*.f64 y y))) (*.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (neg.f64 x)))
(/.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) y)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (/.f64 y x))

eval17.0ms (1.4%)

Memory
-14.4MiB live, 31.4MiB allocated
Compiler

Compiled 850 to 199 computations (76.6% saved)

prune7.0ms (0.6%)

Memory
-24.2MiB live, 13.6MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done000
Total1092111
Accuracy
100.0%
Counts
111 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
▶99.8%
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
Compiler

Compiled 11 to 11 computations (0% saved)

simplify10.0ms (0.8%)

Memory
16.3MiB live, 16.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
Rules
80×lower-fma.f64
80×lower-fma.f32
80×lower-*.f32
78×lower-*.f64
52×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0721
01121
11919
23715
36715
413215
517915
628915
730815
831015
031015
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 y)
y
Outputs
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(atan.f64 (/.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 y)
y

localize21.0ms (1.8%)

Memory
-4.0MiB live, 33.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(neg.f64 y)
accuracy0.01171875
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy0.2109375
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
Samples
16.0ms256×0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-neg: 3.0ms (31.9% of total)
ival-div: 2.0ms (21.3% of total)
ival-mult: 2.0ms (21.3% of total)
ival-atan: 2.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.3%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())
#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())
Outputs
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf y) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor 0 x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (atan (/ y x)) (taylor -inf x) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((* (/ -1 x) (neg y)) (atan (* (/ -1 x) (neg y))) (/ -1 x) (neg y))
0.0ms
y
@-inf
((* (/ -1 x) (neg y)) (atan (* (/ -1 x) (neg y))) (/ -1 x) (neg y))
0.0ms
x
@0
((* (/ -1 x) (neg y)) (atan (* (/ -1 x) (neg y))) (/ -1 x) (neg y))
0.0ms
x
@inf
((* (/ -1 x) (neg y)) (atan (* (/ -1 x) (neg y))) (/ -1 x) (neg y))
0.0ms
x
@-inf
((* (/ -1 x) (neg y)) (atan (* (/ -1 x) (neg y))) (/ -1 x) (neg y))

simplify5.0ms (0.4%)

Memory
9.2MiB live, 9.2MiB allocated
Algorithm
1×egg-herbie
Rules
12×lower-+.f64
12×lower-+.f32
8×sub-neg
8×lower--.f64
8×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07228
19228
211228
312228
414228
516228
620228
727228
832228
933228
033228
Stop Event
1×iter limit
1×saturated
Counts
72 → 72
Calls
Call 1
Inputs
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
Outputs
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)

rewrite106.0ms (8.7%)

Memory
-25.6MiB live, 89.6MiB allocated
Rules
1 082×lower-*.f32
1 080×lower-*.f64
928×lower-/.f32
926×lower-/.f64
512×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0718
01118
12716
210412
353912
0362412
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 288
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 y)
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 y y) x) (*.f64 y y)) y)
(*.f64 (/.f64 (/.f64 (*.f64 y y) x) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 (*.f64 y y) x) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 (*.f64 y y) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 y) (*.f64 x x)) x)
(*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 y (*.f64 x x)) x)
(*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) y) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (*.f64 (*.f64 y y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (*.f64 (*.f64 y y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (*.f64 y y) x))) (*.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 x (/.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 x (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (*.f64 x (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (*.f64 y y) x)) (*.f64 x (*.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (*.f64 x (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 x (*.f64 (*.f64 y y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x))) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 y y) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y y) x) y)
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y x) (*.f64 y y)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 y x) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) x) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 y y) x) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x))
(/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 y x))
(/.f64 (*.f64 y y) (*.f64 y x))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 y y) x))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) x)
(/.f64 y x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(neg.f64 (/.f64 y x))
(fma.f64 (/.f64 (/.f64 (*.f64 y y) x) (*.f64 y y)) y #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y y) x) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y y) x) (*.f64 (neg.f64 y) y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y y) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 y) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) x) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 0 binary64))
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(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) (neg.f64 y))
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(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) y)
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
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(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
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(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 9 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (neg.f64 y))
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(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 9 binary64))) (*.f64 (*.f64 y y) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
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(fma.f64 (/.f64 (*.f64 y y) (*.f64 y y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y) #s(literal 0 binary64))
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(-.f64 #s(literal 0 binary64) y)
(-.f64 (neg.f64 y) #s(literal 0 binary64))
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eval99.0ms (8.2%)

Memory
28.1MiB live, 99.5MiB allocated
Compiler

Compiled 3 938 to 863 computations (78.1% saved)

prune52.0ms (4.3%)

Memory
-1.1MiB live, 47.1MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3600360
Fresh000
Picked011
Done011
Total3602362
Accuracy
100.0%
Counts
362 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
✓99.8%
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes6.0ms (0.5%)

Memory
11.7MiB live, 11.7MiB allocated
Accuracy

Total -0.1b remaining (-866.7%)

Threshold costs -0.1b (-866.7%)

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

4 calls:

1.0ms
y
1.0ms
(/.f64 y x)
1.0ms
x
1.0ms
(atan.f64 (/.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(atan.f64 (/.f64 y x))
100.0%1(/.f64 y x)
Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify61.0ms (5.1%)

Memory
-19.5MiB live, 20.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))

soundness0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
1×done
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess47.0ms (3.9%)

Memory
7.7MiB live, 46.4MiB allocated
Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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