Octave 3.8, jcobi/4, as called

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
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)

sample1.7s (23.5%)

Memory
-16.4MiB live, 975.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 902.0ms
ival-mult: 530.0ms (58.7% of total)
ival-div: 228.0ms (25.3% of total)
ival-sub: 104.0ms (11.5% of total)
ival->: 22.0ms (2.4% of total)
exact: 14.0ms (1.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain221.0ms (3%)

Memory
12.0MiB live, 293.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1900-2(3.3586625183532938e-80)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
660-0-(/.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/o660
(*.f64 (*.f64 i i) (*.f64 i i))overflow107
(*.f64 i i)overflow132
(*.f64 #s(literal 2 binary64) i)overflow6
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow66
/.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/o660
(*.f64 (*.f64 i i) (*.f64 i i))overflow107
(*.f64 #s(literal 2 binary64) i)overflow6
(*.f64 i i)overflow132
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow66
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow66
(*.f64 #s(literal 2 binary64) i)overflow6
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow66
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow66
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u570
(*.f64 (*.f64 i i) (*.f64 i i))underflow81
(*.f64 i i)underflow114
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow57
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n410
(*.f64 (*.f64 i i) (*.f64 i i))overflow107
(*.f64 i i)overflow132
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n240
(*.f64 (*.f64 i i) (*.f64 i i))underflow81
(*.f64 i i)underflow114
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
1122
266
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 43.0ms (82.9% of total)
ival-div: 6.0ms (11.6% of total)
ival-sub: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess220.0ms (3%)

Memory
-17.8MiB live, 263.8MiB allocated
Algorithm
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
iter limit
node limit
iter limit
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 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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 25 to 10 computations (60% saved)

simplify126.0ms (1.7%)

Memory
4.7MiB live, 196.7MiB allocated
Algorithm
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-diff7168
(/.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
iter limit
node limit
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 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 (*.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 4 binary64) (*.f64 i 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))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize24.0ms (0.3%)

Memory
25.0MiB live, 63.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) i)
accuracy0.12337875976844201
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy16.00163094211973
(/.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)))
accuracy42.47889935119738
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
17.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (54% of total)
ival-div: 4.0ms (36% of total)
ival-sub: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-27.2MiB live, 18.5MiB 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 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 (* 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 -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 (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 (* 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 (* 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 1/16 (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>) () ())) ())
#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 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 (*.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 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 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 (* 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 1/16 (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>) () ())) ())
#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 -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 (*.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 -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 -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

3 calls:

TimeVariablePointExpression
5.0ms
i
@-inf
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i))
2.0ms
i
@inf
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i))
1.0ms
i
@0
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i))

simplify181.0ms (2.5%)

Memory
27.3MiB live, 220.6MiB allocated
Algorithm
egg-herbie
Rules
16 840×lower-fma.f64
16 840×lower-fma.f32
4 092×lower-*.f64
4 092×lower-*.f32
1 760×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41042396
52094396
64001396
76190396
08145384
Stop Event
iter limit
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))
(* (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))
(* 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)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
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))
(* (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)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
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))
(* (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)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
Outputs
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #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))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.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))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(* 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) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(* 1/4 (pow i 2))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(* 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) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)

rewrite169.0ms (2.3%)

Memory
-0.6MiB live, 319.7MiB allocated
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
iter limit
node limit
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
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i)
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (*.f64 i (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) i))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 i (*.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i i)))
(*.f64 i (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) i)))
(*.f64 i (*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) i) i)
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 i) i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) i)
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 4 binary64))) i)
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 i i))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) i) (*.f64 i i))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 i i)) i)
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 3 binary64))) i)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (*.f64 i i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) i) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) i) i))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) (*.f64 i i))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 (neg.f64 i) i)) (*.f64 (*.f64 #s(literal -2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) (*.f64 (*.f64 #s(literal -2 binary64) i) i))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 #s(literal -2 binary64) i)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 i i))
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) i) i)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 i i)) (*.f64 i i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (*.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) i)
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 i i))
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i (pow.f64 i #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 (neg.f64 i) i) #s(literal -4 binary64))
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) i))
(/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 i #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))))
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(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (/.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (neg.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (/.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i)
(*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (*.f64 i i))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (neg.f64 i))
(*.f64 (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (neg.f64 i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) i)
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) (neg.f64 (*.f64 (neg.f64 i) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) i)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

eval142.0ms (1.9%)

Memory
-2.7MiB live, 183.9MiB allocated
Compiler

Compiled 20 488 to 1 923 computations (90.6% saved)

prune18.0ms (0.2%)

Memory
21.9MiB live, 60.2MiB 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
74.2%
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
74.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
54.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
45.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 104 to 76 computations (26.9% saved)

simplify153.0ms (2.1%)

Memory
-5.6MiB live, 148.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
cost-diff320
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
Rules
10 374×lower-fma.f32
10 372×lower-fma.f64
4 446×lower-*.f32
4 436×lower-*.f64
2 724×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029213
040193
1101179
2315159
31345155
43824155
55936155
67478155
08326149
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 i i)
i
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
#s(literal 4 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.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)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.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
#s(literal 1/16 binary64)
Outputs
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 i i)
i
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.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)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.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
#s(literal 1/16 binary64)

localize366.0ms (5%)

Memory
-162.1MiB live, 113.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy0
(*.f64 i i)
accuracy0.27040607413237444
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy29.113327019057
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy0
(*.f64 i i)
accuracy0.04296875
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy0.0625
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
accuracy34.43355129067432
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
accuracy0
(*.f64 i i)
accuracy0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy34.688149041609286
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy28.940854815428263
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy0
(*.f64 i i)
accuracy0
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy16.00163094211973
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
Samples
350.0ms256×0valid
Compiler

Compiled 192 to 27 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 24.0ms (53.1% of total)
ival-mult: 16.0ms (35.4% of total)
ival-sub: 2.0ms (4.4% of total)
ival-add: 2.0ms (4.4% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-6.7MiB live, 31.1MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<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 -4 (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 16 (pow i 2)) 4) (taylor 0 i) (#s(alt (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i 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 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i 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 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i 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 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 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 -1 (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (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 (* -1/4 (pow i 2)) (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 (* -1/4 (pow i 2)) (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 (* -1/4 (pow i 2)) (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 (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i 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 (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<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>) () ())) ())
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#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 (* 4 (pow i 2)) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (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 (* -1/4 (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 (* -1/4 (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 (* -1/4 (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 1/16 (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor -inf i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) (patch (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 3)) (taylor -inf i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) (patch (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i 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 1/16 (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<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

3 calls:

TimeVariablePointExpression
2.0ms
i
@0
((* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)))
2.0ms
i
@inf
((* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)))
1.0ms
i
@-inf
((* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)))

simplify126.0ms (1.7%)

Memory
38.4MiB live, 191.3MiB allocated
Algorithm
egg-herbie
Rules
15 080×lower-fma.f64
15 080×lower-fma.f32
3 240×lower-*.f64
3 240×lower-*.f32
1 396×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721310
11691310
24911278
315001258
446591258
085031222
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
-4
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(* -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))
(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)
(* -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))
(* -1/4 (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))
(* -1/4 (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))
(* -1/4 (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))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -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))
(/ 1/64 (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))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
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))))))
(pow i 2)
(pow i 2)
(pow i 2)
(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))))
1/16
(+ 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))))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
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 (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 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 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))))))
1/16
(+ 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 (* 1/64 (/ 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))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
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))))))
(pow i 2)
(pow i 2)
(pow i 2)
(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))))
1/16
(+ 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))))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
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 (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 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 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))))))
1/16
(+ 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 (* 1/64 (/ 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))
Outputs
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(- (* 16 (pow i 2)) 4)
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(- (* 16 (pow i 2)) 4)
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 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)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #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))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #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))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #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))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) #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 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i)
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i)
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) 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))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 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)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 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))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (pow i 3))
(neg.f64 (pow.f64 i #s(literal 3 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (pow i 2))
(*.f64 (neg.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) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/ 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))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 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)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 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))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (pow i 3))
(neg.f64 (pow.f64 i #s(literal 3 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (pow i 2))
(*.f64 (neg.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) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/ 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))

rewrite190.0ms (2.6%)

Memory
-18.8MiB live, 249.0MiB allocated
Rules
7 980×lower-fma.f32
7 978×lower-fma.f64
5 428×lower-*.f32
5 418×lower-*.f64
3 824×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029193
040165
1187151
21402125
09139122
Stop Event
iter limit
node limit
iter limit
Counts
14 → 676
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 i i)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
Outputs
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))))))
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (*.f64 i i))))
(/.f64 (+.f64 #s(literal -64 binary64) (*.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)))) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (neg.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)))))
(/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)))) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 8 binary64) i) i) #s(literal 2 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 i i)) #s(literal 2 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) #s(literal 2 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 8 binary64) i) (*.f64 #s(literal 2 binary64) i) #s(literal -4 binary64))
(fma.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal -4 binary64))
(fma.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(literal 4 binary64)) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 8 binary64) i #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) i #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 4 binary64)) #s(literal -4 binary64))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -4 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
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(fma.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)))))
(fma.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))))
(-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (neg.f64 (/.f64 #s(literal -1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64))
(*.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.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 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))
(neg.f64 (*.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))

eval135.0ms (1.8%)

Memory
35.2MiB live, 298.1MiB allocated
Compiler

Compiled 15 332 to 2 398 computations (84.4% saved)

prune32.0ms (0.4%)

Memory
18.7MiB live, 96.8MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New9822984
Fresh011
Picked145
Done000
Total9837990
Accuracy
100.0%
Counts
990 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
74.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
46.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
54.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
45.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 64 to 45 computations (29.7% saved)

simplify528.0ms (7.2%)

Memory
8.8MiB live, 158.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal -4 binary64) (*.f64 i i))
cost-diff1088
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
cost-diff0
(neg.f64 i)
cost-diff0
(*.f64 (neg.f64 i) i)
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
cost-diff640
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
Rules
10 226×lower-fma.f32
10 220×lower-fma.f64
4 272×lower-*.f32
4 264×lower-*.f64
3 484×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027134
041127
1106121
2378112
31613112
44065106
57057106
08063105
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
(*.f64 i i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
#s(literal -4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(*.f64 i i)
i
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
#s(literal 16 binary64)
#s(literal -4 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
(*.f64 i i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/.f64 #s(literal -4 binary64) (*.f64 i i))
#s(literal -4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i)
(*.f64 i i)
i
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))
#s(literal 16 binary64)
#s(literal -4 binary64)

localize84.0ms (1.2%)

Memory
-8.5MiB live, 114.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
accuracy0
(*.f64 i i)
accuracy16.00163094211973
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
accuracy0
(*.f64 i i)
accuracy0.10129194272485503
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy0.3556907758843378
(/.f64 #s(literal -4 binary64) (*.f64 i i))
accuracy16.441053258100972
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy0
(neg.f64 i)
accuracy0.060878759768442016
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy34.43355129067432
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
Samples
61.0ms256×0valid
Compiler

Compiled 128 to 30 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 31.0ms (69% of total)
ival-div: 7.0ms (15.6% of total)
ival-add: 3.0ms (6.7% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-16.3MiB live, 21.6MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())
#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<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 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<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 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor 0 i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (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 (* -1/4 (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 (* -1/4 (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 (* -1/4 (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 -16 (taylor inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor -inf i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (patch (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 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 #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 2)) (taylor -inf i) (#s(alt (*.f64 (neg.f64 i) i) (patch (*.f64 (neg.f64 i) i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i 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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i 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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<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 -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 (* 4 (pow i 2)) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 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 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 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 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 16 (pow i 2)) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (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 (* -1/4 (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 (* -1/4 (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 (* -1/4 (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 -16 (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
i
@inf
((+ (* (* (neg i) i) (* i i)) (* -1/4 (* i i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg i) i) (neg i) (/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (/ -4 (* i i)) (* i i) (+ (* 4 (* i i)) -1) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4) (* -1/4 (* i i)) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)))
3.0ms
i
@0
((+ (* (* (neg i) i) (* i i)) (* -1/4 (* i i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg i) i) (neg i) (/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (/ -4 (* i i)) (* i i) (+ (* 4 (* i i)) -1) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4) (* -1/4 (* i i)) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)))
2.0ms
i
@-inf
((+ (* (* (neg i) i) (* i i)) (* -1/4 (* i i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg i) i) (neg i) (/ -1 (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1))) (/ -4 (* i i)) (* i i) (+ (* 4 (* i i)) -1) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4) (* -1/4 (* i i)) (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)))

simplify211.0ms (2.9%)

Memory
-21.8MiB live, 234.3MiB allocated
Algorithm
egg-herbie
Rules
18 430×lower-fma.f64
18 430×lower-fma.f32
3 168×lower-*.f64
3 168×lower-*.f32
2 356×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065966
1139966
2337954
3822942
41971942
53653942
65885942
08529912
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -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))
(* -1/4 (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 (pow i 2))
(* -1 (pow i 2))
(* -1 (pow i 2))
(* -1 (pow i 2))
(* -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) (- (* (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))
(/ -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)
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* -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))
-4
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(/ 4 (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (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))))))
1/16
(+ 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 (pow i 2))
(* -1 (pow i 2))
(* -1 (pow i 2))
(* -1 (pow i 2))
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
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))
(pow i 2)
(pow i 2)
(pow i 2)
(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))))
1/16
(+ 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))))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
-16
(- (* 4 (/ 1 (pow i 2))) 16)
(- (* 4 (/ 1 (pow i 2))) 16)
(- (* 4 (/ 1 (pow i 2))) 16)
(* -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))))))
1/16
(+ 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 (pow i 2))
(* -1 (pow i 2))
(* -1 (pow i 2))
(* -1 (pow i 2))
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
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))
(pow i 2)
(pow i 2)
(pow i 2)
(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))))
1/16
(+ 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))))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
-16
(- (* 4 (/ 1 (pow i 2))) 16)
(- (* 4 (/ 1 (pow i 2))) 16)
(- (* 4 (/ 1 (pow i 2))) 16)
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64))))) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) 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 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 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)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 i i #s(literal 1/4 binary64))))) (*.f64 i i))
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(- (* 16 (pow i 2)) 4)
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(- (* 16 (pow i 2)) 4)
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 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)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* 16 (pow i 2))
(*.f64 #s(literal 16 binary64) (*.f64 i i))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
-16
#s(literal -16 binary64)
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 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)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* 16 (pow i 2))
(*.f64 #s(literal 16 binary64) (*.f64 i i))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
-16
#s(literal -16 binary64)
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))

rewrite203.0ms (2.8%)

Memory
22.4MiB live, 208.8MiB allocated
Rules
6 846×lower-fma.f32
6 840×lower-fma.f64
4 054×lower-*.f32
4 046×lower-*.f64
3 786×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027119
041106
1201102
2171085
0862385
Stop Event
iter limit
node limit
iter limit
Counts
12 → 789
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(*.f64 i i)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))))))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))))
(*.f64 i (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) i)))
(*.f64 i (fma.f64 #s(literal -1/4 binary64) i (pow.f64 (neg.f64 i) #s(literal 3 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) (+.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/4 binary64)))))))
(fma.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 4 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) i)) i (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i))) i (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 i #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 i #s(literal 4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 i) #s(literal 2 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 i) #s(literal 2 binary64)) (*.f64 i #s(literal 1/2 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i)) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 i (*.f64 #s(literal 4 binary64) i)) (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)) (neg.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i)) (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 i #s(literal -1 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (*.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) i (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (neg.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
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(fma.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)))
(fma.f64 i (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (*.f64 (neg.f64 i) i))) (/.f64 (pow.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (*.f64 (neg.f64 i) i))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(-.f64 (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)))
(+.f64 (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) (*.f64 i i)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)))

eval167.0ms (2.3%)

Memory
23.8MiB live, 264.8MiB allocated
Compiler

Compiled 20 794 to 2 897 computations (86.1% saved)

prune32.0ms (0.4%)

Memory
7.2MiB live, 79.4MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 11211 113
Fresh000
Picked123
Done044
Total1 11371 120
Accuracy
100.0%
Counts
1 120 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
99.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
46.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
54.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
45.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 60 to 45 computations (25% saved)

simplify102.0ms (1.4%)

Memory
-3.8MiB live, 154.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 i i))
cost-diff0
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
cost-diff0
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
Rules
4 498×lower-fma.f64
4 498×lower-fma.f32
3 056×lower-*.f32
3 054×lower-*.f64
1 476×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01563
01963
13963
29259
318459
433651
568551
6153951
7348251
8587951
9700151
0804251
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
#s(literal -1 binary64)
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(-.f64 (/.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 16 binary64)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
#s(literal -1 binary64)
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(*.f64 i i)
i
#s(literal 16 binary64)

localize41.0ms (0.6%)

Memory
-22.9MiB live, 102.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 i i)
accuracy0
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
accuracy0.10129194272485503
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
accuracy0.3556907758843378
(/.f64 #s(literal 4 binary64) (*.f64 i i))
Samples
25.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (40.3% of total)
ival-mult: 5.0ms (33.6% of total)
ival-sub: 1.0ms (6.7% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<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>) () ())
Outputs
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<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) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 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 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 4 (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (* -16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<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 (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 1/16 (taylor inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<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) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 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 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ())
#s(alt -16 (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt -16 (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<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 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 1/16 (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<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) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 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 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #<representation binary64>) () ())) ())
#s(alt -16 (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (patch #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #<representation binary64>) () ())) ())
#s(alt -16 (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (/ 1 (pow i 2))) 16) (taylor -inf i) (#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #<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 -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>) () ())) ())
Calls

3 calls:

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

simplify383.0ms (5.3%)

Memory
17.5MiB live, 132.2MiB allocated
Algorithm
egg-herbie
Rules
14 340×lower-fma.f64
14 340×lower-fma.f32
3 772×lower-*.f64
3 772×lower-*.f32
1 744×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050395
194395
2202394
3447390
4900390
51655390
62788390
74754390
85852390
97577390
08149381
Stop Event
iter limit
node limit
Counts
60 → 60
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))
(/ 4 (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/ 4 (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/ (+ 4 (* -16 (pow i 2))) (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)
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))))))
-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))) 16)
(/ 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)
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))))))
-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))) 16)
(/ 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)
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) i)
(/ (+ 4 (* -16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) 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)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
-16
#s(literal -16 binary64)
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
-16
#s(literal -16 binary64)
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(/ 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)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
-16
#s(literal -16 binary64)
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
-16
#s(literal -16 binary64)
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(- (* 4 (/ 1 (pow i 2))) 16)
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(/ 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)

rewrite166.0ms (2.3%)

Memory
-23.1MiB live, 188.1MiB allocated
Rules
6 178×lower-fma.f64
6 178×lower-fma.f32
4 164×lower-*.f32
4 162×lower-*.f64
3 004×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01559
01959
18859
267055
3752055
0806850
Stop Event
iter limit
node limit
iter limit
Counts
5 → 159
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 i i)
Outputs
(*.f64 (pow.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)))
(pow.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))
(neg.f64 (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))))
(*.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))))
#s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))
(/.f64 (neg.f64 #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64))
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(fma.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)) (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64))) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))))
(fma.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal 4096 binary64))) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i)))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(fma.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) #s(literal -256 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) #s(literal -16 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -3/2 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i) #s(literal -16 binary64))
(fma.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -4 binary64) #s(literal -16 binary64))
(fma.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 16 binary64)) (/.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(fma.f64 #s(literal 64 binary64) (/.f64 (pow.f64 i #s(literal -6 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -16 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) i) (pow.f64 i #s(literal -1 binary64)) #s(literal -16 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -16 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal -16 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal -1 binary64) i) #s(literal -16 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 (pow.f64 i #s(literal -1 binary64))) #s(literal -16 binary64))
(fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))
(fma.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))))
(fma.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(fma.f64 (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 i #s(literal -4 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -16 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal -16 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -16 binary64))
(fma.f64 #s(literal -4 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -16 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))))
(-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(+.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -16 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 256 binary64))))))
(+.f64 #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i))
(*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 (pow.f64 i #s(literal -1 binary64))))
(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 i #s(literal -1/4 binary64)))
(/.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) i) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 i))
(/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 i)) i)
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) #s(literal 1 binary64))
(*.f64 i (/.f64 i #s(literal 1 binary64)))
(*.f64 i (neg.f64 (neg.f64 i)))
(*.f64 i i)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) i))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) #s(literal -1 binary64))
(/.f64 (*.f64 i i) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))

eval175.0ms (2.4%)

Memory
-6.1MiB live, 31.8MiB allocated
Compiler

Compiled 3 797 to 748 computations (80.3% saved)

prune7.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2190219
Fresh000
Picked011
Done066
Total2197226
Accuracy
100.0%
Counts
226 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
99.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
46.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
54.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
45.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 171 to 88 computations (48.5% saved)

regimes72.0ms (1%)

Memory
-27.3MiB live, 9.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 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) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
Calls

2 calls:

68.0ms
i
3.0ms
(/.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
99.9%1i
99.9%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)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes5.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
Outputs
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
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
100.0%2i
78.4%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 26 to 11 computations (57.7% saved)

regimes2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.6%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
98.9%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #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
54.8%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)))
54.8%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch8.0ms (0.1%)

Memory
-38.9MiB live, 4.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
8.0ms
1279070.1208551913
172519958.59415698
Samples
6.0ms32×0valid
Compiler

Compiled 52 to 36 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 5.0ms (88.9% of total)
ival-mult: 1.0ms (17.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
29.8MiB live, 29.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.024682909051977505
140.0349722746052
Samples
8.0ms128×0valid
Compiler

Compiled 172 to 142 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (57.5% of total)
ival-sub: 1.0ms (19.2% of total)
ival-div: 1.0ms (19.2% 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
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.024682909051977505
140.0349722746052
Compiler

Compiled 124 to 110 computations (11.3% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.024682909051977505
140.0349722746052
Compiler

Compiled 92 to 94 computations (-2.2% saved)

simplify28.0ms (0.4%)

Memory
-2.0MiB live, 67.6MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative-binary64-*.f64
12×+-commutative-binary64-+.f64
10×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046291
160291
269291
375291
478291
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -4 (* i i)) (+ (* 4 (* i i)) -1)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.1s (15.8%)

Memory
-36.6MiB live, 705.2MiB allocated
Rules
18 430×lower-fma.f64
18 430×lower-fma.f32
16 840×lower-fma.f64
16 840×lower-fma.f32
7 980×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029193
040165
1187151
21402125
09139122
050401
196401
2220400
3504396
41042396
52094396
64001396
76190396
08145384
065966
1139966
2337954
3822942
41971942
53653942
65885942
08529912
01066
01750
17544
265332
0874030
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 193 to 102 computations (47.2% saved)

preprocess37.0ms (0.5%)

Memory
5.0MiB live, 81.6MiB allocated
Remove

(abs i)

Compiler

Compiled 238 to 108 computations (54.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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