bug329 (missed optimization)

Time bar (total: 1.5s)

analyze7.0ms (0.5%)

Memory
12.1MiB live, 12.1MiB 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)

sample508.0ms (34.8%)

Memory
24.0MiB live, 765.7MiB allocated
Samples
344.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-div: 68.0ms (43.1% of total)
ival-atan: 51.0ms (32.3% of total)
ival->=: 28.0ms (17.7% of total)
exact: 7.0ms (4.4% of total)
ival-assert: 4.0ms (2.5% of total)
Bogosity

preprocess11.0ms (0.8%)

Memory
11.4MiB live, 11.4MiB 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
044
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(atan (/ y x))
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))

explain47.0ms (3.2%)

Memory
-30.8MiB live, 44.9MiB 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 34 to 20 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.7% of total)
ival-atan: 3.0ms (38.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.2%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize14.0ms (1%)

Memory
14.2MiB live, 14.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(atan.f64 (/.f64 y x))
Samples
9.0ms256×0valid
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% of total)
ival-atan: 1.0ms (26.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (atan (/ y x))>
#<alt (/ y x)>
Outputs
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

12 calls:

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

rewrite62.0ms (4.3%)

Memory
4.2MiB live, 41.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
522×*-lowering-*.f32
522×*-lowering-*.f64
470×/-lowering-/.f32
470×/-lowering-/.f64
136×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1127
2477
32207
012187
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(atan (/ y x))
(/ y x)
Outputs
(-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y (neg.f64 x))))
(atan.f64 (/.f64 y x))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 y (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(neg.f64 (/.f64 y (neg.f64 x)))
(/.f64 y x)
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 x) (*.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 (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y))) (*.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) y)
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 x x))) x)

simplify5.0ms (0.4%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
1×egg-herbie
Rules
2×atan-lowering-atan.f32
2×atan-lowering-atan.f64
2×/-lowering-/.f32
2×/-lowering-/.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))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval249.0ms (17%)

Memory
-161.6MiB live, 28.7MiB allocated
Compiler

Compiled 820 to 197 computations (76% saved)

prune8.0ms (0.5%)

Memory
14.3MiB live, 14.3MiB 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) y))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify9.0ms (0.7%)

Memory
-36.3MiB live, 4.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
6×associate-*r*
4×*-commutative
4×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
11113
21513
32213
42213
02213
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(atan (* (/ 1 x) y))
(* (/ 1 x) y)
(/ 1 x)
1
x
y
Outputs
(atan (* (/ 1 x) y))
(atan.f64 (/.f64 y x))
(* (/ 1 x) y)
(/.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y

localize18.0ms (1.3%)

Memory
22.9MiB live, 22.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
Samples
12.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (37.1% of total)
ival-mult: 1.0ms (18.5% of total)
ival-atan: 1.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (* (/ 1 x) y)>
#<alt (atan (* (/ 1 x) y))>
#<alt (/ 1 x)>
Outputs
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

15 calls:

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

rewrite231.0ms (15.8%)

Memory
20.6MiB live, 249.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 036×accelerator-lowering-fma.f32
5 036×accelerator-lowering-fma.f64
2 248×*-lowering-*.f32
2 248×*-lowering-*.f64
1 684×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0614
11910
26510
320910
487710
5778410
0866710
Stop Event
1×iter limit
1×node limit
Counts
3 → 861
Calls
Call 1
Inputs
(* (/ 1 x) y)
(atan (* (/ 1 x) y))
(/ 1 x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(+.f64 (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 y) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))) (/.f64 y x))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 x (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 y (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 x (/.f64 y (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 y x))
(fma.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)) (/.f64 y x))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (/.f64 y x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 x)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y (sqrt.f64 x))) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y (sqrt.f64 x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y (sqrt.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y (sqrt.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 y)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 y)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
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(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))

simplify11.0ms (0.8%)

Memory
-29.4MiB live, 18.0MiB allocated
Algorithm
1×egg-herbie
Rules
4×/-lowering-/.f32
4×/-lowering-/.f64
2×atan-lowering-atan.f32
2×atan-lowering-atan.f64
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06204
18204
08204
Stop Event
1×iter limit
1×saturated
Counts
60 → 60
Calls
Call 1
Inputs
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.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)

eval99.0ms (6.8%)

Memory
33.4MiB live, 144.7MiB allocated
Compiler

Compiled 14 878 to 2 303 computations (84.5% saved)

prune134.0ms (9.2%)

Memory
-32.5MiB live, 168.2MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New9210921
Fresh000
Picked011
Done011
Total9212923
Accuracy
100.0%
Counts
923 → 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) y))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.4%)

Memory
7.1MiB live, 7.1MiB allocated
Accuracy

Total -0.1b remaining (-2600%)

Threshold costs -0.1b (-2600%)

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

4 calls:

1.0ms
x
1.0ms
(/.f64 y 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 17 to 11 computations (35.3% saved)

simplify6.0ms (0.4%)

Memory
5.8MiB live, 5.8MiB 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 6 to 4 computations (33.3% saved)

preprocess25.0ms (1.7%)

Memory
5.3MiB live, 44.0MiB allocated
Compiler

Compiled 34 to 22 computations (35.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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