Octave 3.8, jcobi/4, as called

Time bar (total: 6.6s)

analyze3.0ms (0%)

Memory
6.5MiB live, 6.5MiB 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
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample945.0ms (14.4%)

Memory
21.7MiB live, 1 399.8MiB allocated
Samples
666.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 489.0ms
ival-mult: 265.0ms (54.2% of total)
ival-div: 119.0ms (24.3% of total)
ival-sub: 63.0ms (12.9% of total)
ival->: 23.0ms (4.7% of total)
exact: 14.0ms (2.9% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

preprocess347.0ms (5.3%)

Memory
-9.6MiB live, 594.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 204×lower-fma.f64
7 204×lower-fma.f32
5 094×lower-*.f32
5 086×lower-*.f64
3 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
15543
235026
3286126
4763626
01025
01721
14519
218713
3106013
4364911
5529211
6732211
0803610
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
Symmetry

(abs i)

explain160.0ms (2.4%)

Memory
2.6MiB live, 364.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1900-2(5.893278853553196e-80)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
680-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o680
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow97
↳(*.f64 i i)overflow136
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow68
/.f64(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))o/o680
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow97
↳(*.f64 i i)overflow136
↳(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow68
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow68
↳(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow68
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow68
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u580
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow91
↳(*.f64 i i)underflow116
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow58
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n330
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow91
↳(*.f64 i i)underflow116
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n290
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow97
↳(*.f64 i i)overflow136
Confusion
Predicted +Predicted -
+1882
-066
Precision
1.0
Recall
0.9894736842105263
Confusion?
Predicted +Predicted MaybePredicted -
+18802
-0066
Precision?
1.0
Recall?
0.9894736842105263
Freqs
test
numberfreq
068
1120
268
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 200 to 44 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 14.0ms (48.1% of total)
ival-sub: 9.0ms (31% of total)
ival-div: 6.0ms (20.6% of total)
exact: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.6%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify372.0ms (5.7%)

Memory
-6.3MiB live, 482.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
✓cost-diff320
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
✓cost-diff320
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
✓cost-diff1664
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Rules
7 204×lower-fma.f64
7 204×lower-fma.f32
5 094×lower-*.f32
5 086×lower-*.f64
3 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
14556
218742
3106042
4364940
5529240
6732240
0803638
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)

localize69.0ms (1%)

Memory
-14.4MiB live, 64.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) i)
✓accuracy99.8%
(*.f64 (*.f64 i i) (*.f64 i i))
✓accuracy74.3%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
✓accuracy33.6%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
55.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (57.3% of total)
ival-div: 3.0ms (28.6% of total)
ival-sub: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())
Outputs
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (patch (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (*.f64 (*.f64 i i) (*.f64 i i)) (patch (*.f64 (*.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
1.0ms
i
@inf
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
1.0ms
i
@0
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms
i
@inf
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms
i
@-inf
(* 2 i)
0.0ms
i
@0
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))

rewrite445.0ms (6.8%)

Memory
-11.8MiB live, 300.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 018×lower-*.f32
5 010×lower-*.f64
4 240×lower-/.f32
4 236×lower-/.f64
3 978×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17544
265332
0874030
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 665
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 #s(literal 2 binary64) i)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))) (log.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
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(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i (*.f64 i i)) i)
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i)))
(*.f64 (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i))))
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (neg.f64 i))
(*.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 i i))
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 i (*.f64 i i)))
(*.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) i)
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) i)
(/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) (neg.f64 i))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64)))
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify821.0ms (12.5%)

Memory
-7.9MiB live, 315.3MiB allocated
Algorithm
1×egg-herbie
Rules
15 408×lower-fma.f64
15 408×lower-fma.f32
3 874×lower-*.f64
3 874×lower-*.f32
1 628×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41045396
52097396
64072396
76268396
08056384
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
Outputs
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))

eval185.0ms (2.8%)

Memory
43.2MiB live, 226.6MiB allocated
Compiler

Compiled 23 299 to 1 900 computations (91.8% saved)

prune105.0ms (1.6%)

Memory
-3.2MiB live, 316.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New8506856
Fresh000
Picked101
Done000
Total8516857
Accuracy
100.0%
Counts
857 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶53.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
74.2%
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
▶47.4%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶47.2%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
▶52.9%
#s(literal 1/16 binary64)
Compiler

Compiled 98 to 70 computations (28.6% saved)

simplify91.0ms (1.4%)

Memory
-34.4MiB live, 69.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓cost-diff0
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓cost-diff0
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
✓cost-diff0
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓cost-diff0
(*.f64 i #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 i i))
✓cost-diff0
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Rules
808×lower-fma.f64
808×lower-fma.f32
536×lower-*.f32
526×lower-*.f64
184×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
02983
14983
27783
312583
418983
524983
634583
751383
864783
972983
1088483
11103583
12111783
13118783
14127683
15132983
16134283
17134683
18134683
0134683
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
i
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
i
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i

localize53.0ms (0.8%)

Memory
7.7MiB live, 126.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓accuracy100.0%
(*.f64 i i)
✓accuracy99.5%
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓accuracy100.0%
(*.f64 i i)
✓accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
✓accuracy99.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓accuracy100.0%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
✓accuracy100.0%
(*.f64 i #s(literal -1/4 binary64))
✓accuracy100.0%
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
✓accuracy100.0%
(*.f64 i i)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓accuracy99.4%
(/.f64 #s(literal 4 binary64) (*.f64 i i))
Samples
30.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (42.3% of total)
ival-div: 6.0ms (31.7% of total)
ival-sub: 2.0ms (10.6% of total)
ival-add: 1.0ms (5.3% of total)
exact: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-18.2MiB live, 21.0MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())
#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())
#s(alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (/ -4 (pow i 2)) (taylor 0 i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 16 (pow i 2)) 4) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 16 (pow i 2)) 4) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 16 (pow i 2)) 4) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt 16 (taylor inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (- 16 (* 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (- 16 (* 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (- 16 (* 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt 16 (taylor -inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (- 16 (* 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (- 16 (* 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (- 16 (* 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 4 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 i (*.f64 i #s(literal -1/4 binary64))) (patch (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor 0 i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 i) (taylor 0 i) (#s(alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow i 3)) (taylor inf i) (#s(alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt -1/4 (taylor 0 i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow i 2)) 1/4) (taylor 0 i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow i 2)) 1/4) (taylor 0 i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow i 2)) 1/4) (taylor 0 i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor -inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
Calls

33 calls:

TimeVariablePointExpression
1.0ms
i
@0
(/ 1 (- 16 (/ 4 (* i i))))
0.0ms
i
@inf
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@inf
(* i (* i -1/4))
0.0ms
i
@0
(/ 1/64 (* i i))
0.0ms
i
@0
(* i (* i (- -1/4 (* i i))))

rewrite270.0ms (4.1%)

Memory
15.8MiB live, 607.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 790×lower-fma.f64
4 790×lower-fma.f32
4 402×lower-*.f32
4 392×lower-*.f64
3 966×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01865
02965
111365
275565
0851462
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 465
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 i i)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
Outputs
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(exp.f64 (*.f64 (log.f64 (*.f64 i (*.f64 i #s(literal 64 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i #s(literal 64 binary64))))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 64 binary64))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 64 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/64 binary64) i)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal 1 binary64)) (neg.f64 i))
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1 binary64)) i)
(pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1/64 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1/2 binary64)))

simplify385.0ms (5.9%)

Memory
24.6MiB live, 614.0MiB allocated
Algorithm
1×egg-herbie
Rules
18 308×lower-fma.f64
18 308×lower-fma.f32
3 654×lower-*.f64
3 654×lower-*.f32
1 942×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070824
1163824
2476760
31522756
45180756
57590756
08579750
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 3))
(neg.f64 (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 3))
(neg.f64 (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))

eval75.0ms (1.1%)

Memory
-8.5MiB live, 141.6MiB allocated
Compiler

Compiled 13 888 to 1 489 computations (89.3% saved)

prune100.0ms (1.5%)

Memory
19.8MiB live, 139.8MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6552657
Fresh011
Picked055
Done000
Total6558663
Accuracy
100.0%
Counts
663 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓53.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶74.2%
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
▶47.4%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
▶47.4%
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓47.4%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓47.2%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
✓52.9%
#s(literal 1/16 binary64)
Compiler

Compiled 71 to 47 computations (33.8% saved)

simplify79.0ms (1.2%)

Memory
-16.1MiB live, 60.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
✓cost-diff0
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓cost-diff0
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
✓cost-diff0
(neg.f64 i)
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓cost-diff320
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))
Rules
896×lower-fma.f32
892×lower-fma.f64
672×lower-*.f32
660×lower-*.f64
290×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01685
02987
16381
212081
316581
420581
526181
643581
768381
8102481
9129281
10184981
11194881
12198381
13199781
14200281
0200281
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
i
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i i)
(neg.f64 i)
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(*.f64 i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
Outputs
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
i
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 i i)
(neg.f64 i)
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(*.f64 i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize52.0ms (0.8%)

Memory
20.3MiB live, 94.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 i i)
✓accuracy100.0%
(*.f64 i #s(literal 1/4 binary64))
✓accuracy99.9%
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓accuracy75.3%
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓accuracy100.0%
(*.f64 i i)
✓accuracy99.9%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
✓accuracy100.0%
(*.f64 i #s(literal -1/4 binary64))
✓accuracy100.0%
(neg.f64 i)
✓accuracy99.9%
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))
✓accuracy99.9%
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
Samples
30.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.9% of total)
ival-sub: 2.0ms (10.2% of total)
ival-div: 2.0ms (10.2% of total)
ival-add: 2.0ms (10.2% of total)
ival-neg: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())
#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (patch (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/4 i) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 3)) (taylor inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 3)) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) (patch (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor -inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (patch (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal -1/4 binary64)) (patch (*.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor 0 i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor 0 i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor 0 i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor 0 i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor -inf i) (#s(alt (*.f64 i #s(literal 1/4 binary64)) (patch (*.f64 i #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
Calls

33 calls:

TimeVariablePointExpression
1.0ms
i
@inf
(/ i (+ (* (* i i) 4) -1))
0.0ms
i
@0
(+ (* (* i i) (neg i)) (* i -1/4))
0.0ms
i
@inf
(+ (* (* i i) (neg i)) (* i -1/4))
0.0ms
i
@0
(* i (+ (* (* i i) (neg i)) (* i -1/4)))
0.0ms
i
@-inf
(/ i (+ (* (* i i) 4) -1))

rewrite289.0ms (4.4%)

Memory
-18.8MiB live, 375.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 526×lower-fma.f32
4 522×lower-fma.f64
3 622×lower-*.f32
3 610×lower-*.f64
2 126×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01671
02973
111167
275067
3654366
0927362
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 689
Calls
Call 1
Inputs
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
(*.f64 i i)
(neg.f64 i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i #s(literal 1/4 binary64))
Outputs
(+.f64 (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i)))
(+.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(+.f64 (*.f64 (*.f64 i (*.f64 i i)) (/.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(+.f64 (-.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (*.f64 i (*.f64 i i)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i)))
(-.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (*.f64 (*.f64 i (*.f64 i i)) (/.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))))
(-.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) (/.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64))))) (/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64))))))
(-.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) (*.f64 i (*.f64 i i)))
(fma.f64 i (*.f64 i i) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 i #s(literal -1/4 binary64) (*.f64 i (*.f64 i i)))
(fma.f64 i #s(literal 1/4 binary64) (*.f64 i (*.f64 i i)))
(fma.f64 i (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 i (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i i)) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 #s(literal -1/4 binary64) i (*.f64 i (*.f64 i i)))
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 i (*.f64 i i)))
(fma.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i)))
(fma.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) i (*.f64 i (*.f64 i i)))
(fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i (*.f64 i i)) (/.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i i)) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i)))
(fma.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) (/.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) (/.f64 (*.f64 i i) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 i (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (/.f64 i i) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 i (/.f64 #s(literal -1 binary64) (fma.f64 i i #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) i)
(/.f64 (fma.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal -1/262144 binary64) (pow.f64 i #s(literal 27 binary64))) (*.f64 (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64)) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))))))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))) (*.f64 (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))) (*.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i (*.f64 i #s(literal 1/16 binary64))) (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))))))
(/.f64 (*.f64 (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))) (*.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))))
(/.f64 (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (*.f64 i (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (*.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64))))) (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal -1/262144 binary64) (pow.f64 i #s(literal 27 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64)) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))))) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 i (*.f64 i #s(literal 1/16 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i (*.f64 i #s(literal 1/16 binary64))) (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 i (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 i (fma.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (*.f64 i (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (fma.f64 i i #s(literal 1/4 binary64)))
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(/.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 256 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 262144 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 4096 binary64) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 4096 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 4096 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 256 binary64) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 256 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64)))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))) (fma.f64 i (/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 262144 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 4096 binary64) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 4096 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 4096 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 256 binary64) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 256 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 4096 binary64)))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))))) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 256 binary64))))
(*.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 i #s(literal -1/4 binary64)))
(/.f64 (*.f64 i (*.f64 i #s(literal -1/4 binary64))) i)
(/.f64 (*.f64 i (*.f64 i (*.f64 i #s(literal -1/4 binary64)))) (*.f64 i i))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 i #s(literal -1/4 binary64)))
(/.f64 (*.f64 i (*.f64 i #s(literal -1/4 binary64))) i)
(/.f64 (*.f64 i (*.f64 i (*.f64 i #s(literal -1/4 binary64)))) (*.f64 i i))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal -1/4 binary64)))

simplify233.0ms (3.6%)

Memory
22.7MiB live, 379.0MiB allocated
Algorithm
1×egg-herbie
Rules
6 406×lower-fma.f64
6 406×lower-fma.f32
3 144×lower-*.f64
3 144×lower-*.f32
1 894×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100840
1243840
2677790
32075789
45974789
08656774
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
Outputs
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(*.f64 i (*.f64 i (neg.f64 i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(*.f64 i (*.f64 i (neg.f64 i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(*.f64 i (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -64 binary64)) #s(literal -16 binary64))) #s(literal -4 binary64)) #s(literal -1 binary64)))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) (/.f64 #s(literal 1/64 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) i)
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))

eval135.0ms (2.1%)

Memory
1.1MiB live, 267.3MiB allocated
Compiler

Compiled 22 893 to 1 975 computations (91.4% saved)

prune189.0ms (2.9%)

Memory
23.5MiB live, 258.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New9470947
Fresh000
Picked033
Done055
Total9478955
Accuracy
100.0%
Counts
955 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓53.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓74.2%
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓47.4%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
✓47.4%
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓47.4%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓47.2%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
✓52.9%
#s(literal 1/16 binary64)
Compiler

Compiled 160 to 82 computations (48.8% saved)

regimes161.0ms (2.5%)

Memory
-21.7MiB live, 17.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Calls

2 calls:

157.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
3.0ms
i
Results
AccuracySegmentsBranch
99.7%1i
99.7%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes5.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
Outputs
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

2 calls:

3.0ms
i
2.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.2%2i
76.9%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.2%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
Outputs
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
#s(literal 1/16 binary64)
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
98.6%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes71.0ms (1.1%)

Memory
-57.7MiB live, 4.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
Outputs
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
#s(literal 1/16 binary64)
Calls

1 calls:

71.0ms
i
Results
AccuracySegmentsBranch
98.6%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
Outputs
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
#s(literal 1/16 binary64)
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
98.4%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
Outputs
#s(literal 1/16 binary64)
Calls

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
52.9%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
52.9%1i
Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch14.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.15899758028029823
371.21382950579067
Samples
8.0ms128×0valid
Compiler

Compiled 205 to 134 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (58.7% of total)
ival-sub: 1.0ms (19.6% of total)
ival-div: 1.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.15899758028029823
371.21382950579067
Compiler

Compiled 189 to 118 computations (37.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.15899758028029823
371.21382950579067
Compiler

Compiled 141 to 86 computations (39% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.15899758028029823
371.21382950579067
Compiler

Compiled 141 to 94 computations (33.3% saved)

bsearch5.0ms (0.1%)

Memory
-32.6MiB live, 5.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
0.15899758028029823
371.21382950579067
Compiler

Compiled 109 to 78 computations (28.4% saved)

simplify8.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02990
14890
26090
36790
47190
57290
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i)) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness785.0ms (12%)

Memory
2.1MiB live, 516.0MiB allocated
Rules
15 408×lower-fma.f64
15 408×lower-fma.f32
5 018×lower-*.f32
5 010×lower-*.f64
4 790×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41045396
52097396
64072396
76268396
08056384
01865
02965
111365
275565
0851462
01066
01750
17544
265332
0874030
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 193 to 94 computations (51.3% saved)

preprocess67.0ms (1%)

Memory
8.0MiB live, 136.2MiB allocated
Remove

(abs i)

Compiler

Compiled 254 to 94 computations (63% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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