bug329 (missed optimization)

Time bar (total: 1.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.7%)

Memory
11.3MiB live, 11.3MiB 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)

sample604.0ms (56.2%)

Memory
0.5MiB live, 830.2MiB allocated
Samples
350.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-div: 91.0ms (47.8% of total)
ival-atan: 63.0ms (33.1% of total)
ival->=: 25.0ms (13.1% of total)
exact: 7.0ms (3.7% of total)
ival-assert: 4.0ms (2.1% of total)
Bogosity

explain57.0ms (5.3%)

Memory
16.9MiB live, 55.5MiB 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
20.0ms512×0valid
Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (50.3% of total)
ival-atan: 3.0ms (37.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (1.7%)

Memory
-22.7MiB live, 23.8MiB allocated
Algorithm
1×egg-herbie
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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify2.0ms (0.2%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(atan.f64 (/.f64 y x))
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

localize18.0ms (1.6%)

Memory
-9.0MiB live, 27.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0.0078125
(atan.f64 (/.f64 y x))
Samples
13.0ms256×0valid
Compiler

Compiled 20 to 10 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.4% of total)
ival-atan: 1.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.3%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
Outputs
(atan (/ y x))
(/ y x)
Calls

6 calls:

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

simplify2.0ms (0.2%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
047
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(atan (/ y x))
(/ y x)
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)

rewrite53.0ms (4.9%)

Memory
6.1MiB live, 44.1MiB allocated
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))

eval8.0ms (0.7%)

Memory
10.3MiB live, 10.3MiB allocated
Compiler

Compiled 627 to 201 computations (67.9% saved)

prune2.0ms (0.2%)

Memory
3.8MiB live, 3.8MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh000
Picked011
Done000
Total63265
Accuracy
100.0%
Counts
65 → 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)

simplify16.0ms (1.5%)

Memory
6.5MiB live, 6.5MiB 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))
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

localize22.0ms (2.1%)

Memory
-2.8MiB live, 35.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(neg.f64 y)
accuracy0.0078125
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy0.21875
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
Samples
16.0ms256×0valid
Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.7% of total)
ival-mult: 2.0ms (28.7% of total)
ival-neg: 1.0ms (14.4% of total)
ival-atan: 1.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.7%)

Memory
-37.3MiB live, 4.9MiB allocated
Counts
4 → 4
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
(/ y x)
(atan (/ y x))
(/ -1 x)
(* -1 y)
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((* (/ -1 x) (neg y)) (atan (* (/ -1 x) (neg y))) (/ -1 x) (neg y))
1.0ms
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 (0.5%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
1912
21112
31212
41412
51612
62012
72712
83212
93312
03312
Stop Event
1×iter limit
1×saturated
Counts
4 → 4
Calls
Call 1
Inputs
(/ y x)
(atan (/ y x))
(/ -1 x)
(* -1 y)
Outputs
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 y)
(neg.f64 y)

rewrite92.0ms (8.5%)

Memory
30.5MiB live, 69.0MiB allocated
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)))
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(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(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))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (neg.f64 y))
(/.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))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(neg.f64 y)
(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))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) y #s(literal 0 binary64))
(fma.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) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) y #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))

eval61.0ms (5.7%)

Memory
5.8MiB live, 77.6MiB allocated
Compiler

Compiled 3 550 to 868 computations (75.5% saved)

prune14.0ms (1.3%)

Memory
-22.2MiB live, 21.1MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2920292
Fresh000
Picked011
Done011
Total2922294
Accuracy
100.0%
Counts
294 → 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 (0.6%)

Memory
18.1MiB live, 18.1MiB allocated
Accuracy

Total -0.1b remaining (-1550%)

Threshold costs -0.1b (-1550%)

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

4 calls:

2.0ms
(/.f64 y x)
2.0ms
x
1.0ms
y
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)

simplify27.0ms (2.5%)

Memory
-15.8MiB live, 55.2MiB 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
1.0MiB live, 1.0MiB allocated
Stop Event
1×done
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess49.0ms (4.6%)

Memory
-42.9MiB live, 80.3MiB allocated
Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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