bug329 (missed optimization)

Time bar (total: 1.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.7%)

Memory
-34.8MiB live, 10.9MiB 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)

sample716.0ms (38.2%)

Memory
14.8MiB live, 848.7MiB allocated
Samples
480.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-div: 80.0ms (42.2% of total)
ival-atan: 70.0ms (36.9% of total)
ival->=: 28.0ms (14.8% of total)
exact: 8.0ms (4.2% of total)
ival-assert: 4.0ms (2.1% of total)
Bogosity

explain48.0ms (2.5%)

Memory
-1.8MiB live, 72.3MiB 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
26.0ms512×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.6% of total)
ival-atan: 3.0ms (38.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess12.0ms (0.6%)

Memory
18.7MiB live, 18.7MiB 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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 (0.1%)

Memory
3.7MiB live, 3.7MiB 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

localize25.0ms (1.3%)

Memory
-33.5MiB live, 15.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y x)
accuracy0.00390625
(atan.f64 (/.f64 y x))
Samples
21.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.3% of total)
ival-atan: 1.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
2.3MiB live, 2.3MiB 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 (0.1%)

Memory
0.9MiB live, 0.9MiB 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)

rewrite64.0ms (3.4%)

Memory
27.0MiB live, 64.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1147
2497
32247
012257
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))

eval45.0ms (2.4%)

Memory
-4.4MiB live, 31.0MiB allocated
Compiler

Compiled 627 to 201 computations (67.9% saved)

prune2.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB 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
▶79.8%
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify138.0ms (7.3%)

Memory
-10.2MiB live, 107.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
cost-diff3
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y)))
cost-diff4
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0942
01542
12839
27829
323025
482925
5281225
6419825
7495625
8565525
9658525
10720525
11755125
0823725
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (*.f64 y y))
(*.f64 y y)
y
Outputs
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
(atan.f64 (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
(/.f64 y x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 y y) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)
y

localize25.0ms (1.3%)

Memory
3.4MiB live, 41.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 (*.f64 y y))
accuracy0.00390625
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
accuracy6.8991559012738675
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y)))
accuracy15.084038923764505
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
Samples
18.0ms256×0valid
Compiler

Compiled 44 to 11 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.1% of total)
ival-mult: 3.0ms (27% of total)
ival-neg: 3.0ms (27% of total)
ival-atan: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.3%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y)))
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (*.f64 y y))
Outputs
(/ y x)
(/ (pow y 2) x)
(atan (/ y x))
(/ -1 x)
(* -1 (pow y 2))
Calls

6 calls:

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

simplify4.0ms (0.2%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11319
22319
32619
42919
53619
64419
75419
87119
97419
107519
07519
Stop Event
1×iter limit
1×saturated
Counts
5 → 5
Calls
Call 1
Inputs
(/ y x)
(/ (pow y 2) x)
(atan (/ y x))
(/ -1 x)
(* -1 (pow y 2))
Outputs
(/ y x)
(/.f64 y x)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)

rewrite64.0ms (3.4%)

Memory
11.7MiB live, 50.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0936
01536
14433
222619
0162419
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 169
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y)))
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (*.f64 y y))
Outputs
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) y)
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 y y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (neg.f64 y) x))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (/.f64 y x))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y x) (neg.f64 y)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
(*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 y) x) (*.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 y x) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 y y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 y x)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 y) x) y))
(*.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 y) x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 (*.f64 y y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(*.f64 (*.f64 y y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (*.f64 y y) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
(*.f64 y (/.f64 y (*.f64 y x)))
(*.f64 y (/.f64 (/.f64 y x) y))
(*.f64 y (*.f64 (/.f64 y x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 y (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y)) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 y y) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 y #s(literal 4 binary64)) y))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(/.f64 (/.f64 (*.f64 y y) x) y)
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 y y) (neg.f64 (*.f64 (neg.f64 x) y)))
(/.f64 (*.f64 y y) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (*.f64 y y) (*.f64 y x))
(/.f64 y x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (neg.f64 y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))
(*.f64 (*.f64 (/.f64 y x) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 y (/.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 y)))) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 y x) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (neg.f64 y))))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(/.f64 (*.f64 y y) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 (*.f64 y y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 y y) x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 (*.f64 y y) x))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) x))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(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 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (neg.f64 y) y)
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(*.f64 (*.f64 y y) #s(literal -1 binary64))
(*.f64 y (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))) (*.f64 y y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64)))))
(neg.f64 (*.f64 y y))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 (neg.f64 y) y) #s(literal 0 binary64))

eval35.0ms (1.9%)

Memory
-19.7MiB live, 62.4MiB allocated
Compiler

Compiled 2 125 to 615 computations (71.1% saved)

prune3.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1731174
Fresh000
Picked101
Done011
Total1742176
Accuracy
100.0%
Counts
176 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
▶73.4%
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify293.0ms (15.6%)

Memory
-44.1MiB live, 148.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff0
(*.f64 y y)
cost-diff0
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
cost-diff6
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0833
01333
12329
24621
39621
438421
5170021
6188521
7213721
8257621
9319121
10399321
11433021
12455121
13469121
14480821
15497021
16598621
17648921
18667421
19681521
20694621
21707121
22719621
23732121
24744621
25757121
26763321
0848921
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
x
Outputs
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 y x)
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 x y)
x

localize61.0ms (3.3%)

Memory
-2.5MiB live, 36.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.00390625
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
accuracy0.45271064377363657
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy21.275920425594162
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Samples
55.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-atan: 41.0ms (84.8% of total)
ival-mult: 5.0ms (10.3% of total)
ival-div: 2.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
Outputs
(/ y x)
(atan (/ y x))
(/ 1 (* x y))
(* x y)
(pow y 2)
Calls

6 calls:

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

simplify2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11518
21718
01718
Stop Event
1×iter limit
1×saturated
Counts
5 → 5
Calls
Call 1
Inputs
(/ y x)
(atan (/ y x))
(/ 1 (* x y))
(* x y)
(pow y 2)
Outputs
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(pow y 2)
(*.f64 y y)

rewrite143.0ms (7.6%)

Memory
-25.8MiB live, 95.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0830
01326
13426
214118
361418
4287118
0867118
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 403
Calls
Call 1
Inputs
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
Outputs
(*.f64 (/.f64 (*.f64 y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y))
(*.f64 (/.f64 (*.f64 y y) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (sqrt.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
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(/.f64 (*.f64 x y) (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 x (exp.f64 (neg.f64 (log.f64 (neg.f64 y)))))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 x (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 y y) (/.f64 y x))
(/.f64 y (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 x y))
(fma.f64 (exp.f64 (log.f64 (neg.f64 y))) x #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 y y)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) x #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 y y) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 x (neg.f64 y) #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 x y)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 y))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (log.f64 y) (neg.f64 (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) #s(literal 2 binary64) (neg.f64 (log.f64 (*.f64 x y))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 3 binary64)) (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (*.f64 x y) #s(literal 0 binary64))

eval61.0ms (3.3%)

Memory
4.3MiB live, 80.2MiB allocated
Compiler

Compiled 6 190 to 1 602 computations (74.1% saved)

prune7.0ms (0.3%)

Memory
20.1MiB live, 20.1MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4080408
Fresh000
Picked011
Done011
Total4082410
Accuracy
100.0%
Counts
410 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
✓73.4%
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes6.0ms (0.3%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total -19.3b remaining (-494189.9%)

Threshold costs -19.3b (-494189.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(atan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
Outputs
(atan.f64 (/.f64 y x))
Calls

4 calls:

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

simplify42.0ms (2.2%)

Memory
-30.4MiB live, 15.9MiB 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
0.4MiB live, 0.4MiB allocated
Stop Event
1×done
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess48.0ms (2.5%)

Memory
-8.0MiB live, 31.2MiB allocated
Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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