Octave 3.8, jcobi/4, as called

Time bar (total: 6.2s)

analyze3.0ms (0%)

Memory
4.0MiB live, 4.0MiB 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 (26.7%)

Memory
3.2MiB live, 1 181.9MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 986.0ms
ival-mult: 531.0ms (53.9% of total)
ival-div: 202.0ms (20.5% of total)
ival-sub: 194.0ms (19.7% of total)
ival->: 41.0ms (4.2% of total)
exact: 14.0ms (1.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess331.0ms (5.3%)

Memory
-20.5MiB live, 486.0MiB 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 i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
Symmetry

(abs i)

explain183.0ms (2.9%)

Memory
-11.5MiB live, 304.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1970-1(3.1774039060405084e-79)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
610-0-(/.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)))u/u650
(*.f64 (*.f64 i i) (*.f64 i i))underflow108
(*.f64 i i)underflow130
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow65
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o610
(*.f64 (*.f64 i i) (*.f64 i i))overflow88
(*.f64 i i)overflow122
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow61
/.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/o610
(*.f64 (*.f64 i i) (*.f64 i i))overflow88
(*.f64 i i)overflow122
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow61
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow61
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow61
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow61
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n430
(*.f64 (*.f64 i i) (*.f64 i i))underflow108
(*.f64 i i)underflow130
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n270
(*.f64 (*.f64 i i) (*.f64 i i))overflow88
(*.f64 i i)overflow122
Confusion
Predicted +Predicted -
+1961
-059
Precision
1.0
Recall
0.9949238578680203
Confusion?
Predicted +Predicted MaybePredicted -
+19601
-0059
Precision?
1.0
Recall?
0.9949238578680203
Freqs
test
numberfreq
060
1135
261
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 200 to 44 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (58.5% of total)
ival-div: 6.0ms (27% of total)
ival-sub: 2.0ms (9% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.9%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify252.0ms (4%)

Memory
31.2MiB live, 502.2MiB 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-diff1664
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Rules
7 204×lower-fma.f64
7 204×lower-fma.f32
5 094×lower-*.f32
5 086×lower-*.f64
3 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
14556
218742
3106042
4364940
5529240
6732240
0803638
Stop Event
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 i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)

localize34.0ms (0.5%)

Memory
-22.2MiB live, 58.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) i)
accuracy99.8%
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy76.9%
(/.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)))
accuracy31.4%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
19.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.8% of total)
ival-div: 4.0ms (32.6% of total)
ival-sub: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))>
#<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)))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))>
#<alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 i i) (*.f64 i i))>
#<alt (*.f64 #s(literal 2 binary64) i)>
Outputs
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
Calls

18 calls:

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

rewrite235.0ms (3.8%)

Memory
0.1MiB live, 439.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 018×lower-*.f32
5 010×lower-*.f64
4 240×lower-/.f32
4 236×lower-/.f64
3 978×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17544
265332
0874030
Stop Event
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
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))) (log.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) #s(literal -4 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (*.f64 i #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/2 binary64)) (*.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 i i)) #s(literal -4 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i))))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (*.f64 i (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 i (*.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64))) (*.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (*.f64 i i))
(/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) i)
(/.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (*.f64 i i)) (*.f64 i i))
(/.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) i) i)
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(*.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i (*.f64 i i)) i)
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i)))
(*.f64 (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i))))
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (neg.f64 i))
(*.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 i i))
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 i (*.f64 i i)))
(*.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) i)
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) i)
(/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) (neg.f64 i))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64)))
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify359.0ms (5.8%)

Memory
15.4MiB live, 516.3MiB allocated
Algorithm
egg-herbie
Rules
15 408×lower-fma.f64
15 408×lower-fma.f32
3 874×lower-*.f64
3 874×lower-*.f32
1 628×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41045396
52097396
64072396
76268396
08056384
Stop Event
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))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
Outputs
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))

eval95.0ms (1.5%)

Memory
14.4MiB live, 198.6MiB allocated
Compiler

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

prune152.0ms (2.4%)

Memory
22.2MiB live, 183.4MiB 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
76.7%
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
98.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
48.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.9%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.2%
#s(literal 1/16 binary64)
Compiler

Compiled 102 to 74 computations (27.5% saved)

simplify75.0ms (1.2%)

Memory
-31.8MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize53.0ms (0.9%)

Memory
11.8MiB live, 85.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.5%
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy100.0%
(*.f64 i i)
accuracy99.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
accuracy100.0%
(*.f64 i #s(literal -1/4 binary64))
accuracy100.0%
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.4%
(/.f64 #s(literal 4 binary64) (*.f64 i i))
accuracy98.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Samples
30.0ms255×0valid
0.0ms3valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (44.7% of total)
ival-div: 5.0ms (27.9% of total)
ival-sub: 2.0ms (11.2% of total)
ival-add: 1.0ms (5.6% of total)
exact: 1.0ms (5.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))>
#<alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 i i))>
#<alt (*.f64 i i)>
#<alt (*.f64 i (*.f64 i #s(literal -1/4 binary64)))>
#<alt (*.f64 i #s(literal -1/4 binary64))>
#<alt (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))>
#<alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))>
#<alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i))>
#<alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))>
#<alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i))>
Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
Calls

33 calls:

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

rewrite263.0ms (4.2%)

Memory
-34.0MiB live, 508.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 790×lower-fma.f64
4 790×lower-fma.f32
4 402×lower-*.f32
4 392×lower-*.f64
3 966×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01865
02965
111365
275565
0851462
Stop Event
iter limit
node limit
iter limit
Counts
11 → 465
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 i i)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) #s(literal 256 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) #s(literal 256 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) #s(literal 16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) #s(literal 16 binary64)))
(+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))))
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))))
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))))
(fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))))
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) #s(literal 256 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) #s(literal 256 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) #s(literal 1/65536 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(*.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))))
(*.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))))
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(*.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))))
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(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (*.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (*.f64 (+.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)))) #s(literal 1/16777216 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) #s(literal 1/256 binary64)) #s(literal 1/65536 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (-.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (*.f64 (+.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 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))
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(exp.f64 (*.f64 (log.f64 (*.f64 i (*.f64 i #s(literal 64 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
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(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 64 binary64))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 64 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/64 binary64) i)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal 1 binary64)) (neg.f64 i))
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1 binary64)) i)
(pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
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(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1/64 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i (*.f64 i #s(literal 64 binary64))) #s(literal -1/2 binary64)))

simplify687.0ms (11%)

Memory
17.0MiB live, 654.9MiB allocated
Algorithm
egg-herbie
Rules
18 308×lower-fma.f64
18 308×lower-fma.f32
3 654×lower-*.f64
3 654×lower-*.f32
1 942×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval82.0ms (1.3%)

Memory
-21.2MiB live, 185.0MiB allocated
Compiler

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

prune61.0ms (1%)

Memory
28.1MiB live, 188.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New6561657
Fresh101
Picked055
Done000
Total6576663
Accuracy
100.0%
Counts
663 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
98.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
48.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.9%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.2%
#s(literal 1/16 binary64)
Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify11.0ms (0.2%)

Memory
-14.8MiB live, 24.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 4 binary64) i)
cost-diff0
(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
cost-diff384
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
Rules
56×lower-+.f64
56×lower-+.f32
54×lower-fma.f64
54×lower-fma.f32
44×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
11828
23128
34728
46928
59028
611728
714828
817128
917628
1017928
1118128
018128
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
#s(literal 16 binary64)
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
i
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
i

localize24.0ms (0.4%)

Memory
13.4MiB live, 50.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 4 binary64) i)
accuracy100.0%
(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
accuracy99.8%
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
accuracy98.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
Samples
15.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 7.0ms (77.1% of total)
ival-sub: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 4 binary64) i) i)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))>
#<alt (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))>
#<alt (/.f64 #s(literal 4 binary64) i)>
Outputs
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
i
@-inf
(/ 4 i)
0.0ms
i
@inf
(/ 4 i)
0.0ms
i
@0
(/ 4 i)
0.0ms
i
@0
(/ (/ 4 i) i)
0.0ms
i
@inf
(/ (/ 4 i) i)

rewrite274.0ms (4.4%)

Memory
9.8MiB live, 358.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 448×lower-*.f64
3 448×lower-*.f32
2 926×lower-/.f32
2 920×lower-/.f64
2 590×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15424
238224
3443924
0892522
Stop Event
iter limit
node limit
iter limit
Counts
4 → 249
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
(/.f64 #s(literal 4 binary64) i)
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i #s(literal -1/4 binary64)))))
(/.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 #s(literal 1 binary64) (neg.f64 i)))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 i i)))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 i i))))
(/.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 i #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/4 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) #s(literal -1 binary64)) i)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 i #s(literal -1/4 binary64))))) (exp.f64 (log.f64 (neg.f64 i))))
(/.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (*.f64 i i))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 i (*.f64 i #s(literal -1/4 binary64))))))
(/.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (neg.f64 (*.f64 i i)))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(pow.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (*.f64 i #s(literal 1/4 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64)))))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) i))
(*.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) (neg.f64 i)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 i i))))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 4 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal -4 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) (neg.f64 i)) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) i))
(*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 i #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 (log.f64 (neg.f64 i)))))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)))
(/.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 64 binary64)) (*.f64 i i)))))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64)) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))
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(/.f64 (*.f64 (+.f64 #s(literal 16777216 binary64) (/.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (fma.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 65536 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 65536 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 i #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (exp.f64 (log.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64)))))
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))))))
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64)))))
(pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.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)) #s(literal -16 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
(*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64)))))
(*.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(*.f64 (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 64 binary64)) (*.f64 i i))))
(*.f64 (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (*.f64 (+.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 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #s(literal 16777216 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #s(literal 256 binary64)) #s(literal 65536 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 65536 binary64) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (+.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 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 64 binary64)) (*.f64 i i))))
(*.f64 (exp.f64 (log.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))))))
(*.f64 (exp.f64 (log.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 16 binary64))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 i #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) i))
(neg.f64 (/.f64 #s(literal -4 binary64) i))
(/.f64 #s(literal 4 binary64) i)
(/.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64))
(pow.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (*.f64 i #s(literal 1/4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) i))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) i))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) i))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))

simplify513.0ms (8.2%)

Memory
-12.9MiB live, 470.5MiB allocated
Algorithm
egg-herbie
Rules
10 124×lower-fma.f64
10 124×lower-fma.f32
3 090×lower-*.f64
3 090×lower-*.f32
1 872×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053337
1103337
2239300
3547296
41066296
51940296
63902296
76631296
08120293
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
(/ 4 i)
Outputs
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)
(/ 4 i)
(/.f64 #s(literal 4 binary64) i)

eval86.0ms (1.4%)

Memory
0.9MiB live, 76.2MiB allocated
Compiler

Compiled 7 189 to 824 computations (88.5% saved)

prune33.0ms (0.5%)

Memory
25.2MiB live, 99.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2970297
Fresh000
Picked011
Done055
Total2976303
Accuracy
100.0%
Counts
303 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
98.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
48.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.9%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.2%
#s(literal 1/16 binary64)
Compiler

Compiled 126 to 70 computations (44.4% saved)

regimes17.0ms (0.3%)

Memory
-60.6MiB live, 15.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Calls

2 calls:

13.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
3.0ms
i
Results
AccuracySegmentsBranch
98.8%1i
98.8%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)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

2 calls:

2.0ms
i
2.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.8%2i
74.8%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
Outputs
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
#s(literal 1/16 binary64)
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
Outputs
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
#s(literal 1/16 binary64)
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory
-31.6MiB live, 7.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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)))
1.0ms
i
Results
AccuracySegmentsBranch
48.2%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)))
48.2%1i
Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch16.0ms (0.3%)

Memory
29.0MiB live, 29.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.006933153986067669
899.6714396336405
Samples
9.0ms144×0valid
Compiler

Compiled 209 to 140 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.3% of total)
ival-div: 2.0ms (33.5% of total)
ival-sub: 1.0ms (16.8% 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
0.006933153986067669
899.6714396336405
Compiler

Compiled 155 to 104 computations (32.9% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.006933153986067669
899.6714396336405
Compiler

Compiled 119 to 86 computations (27.7% saved)

simplify13.0ms (0.2%)

Memory
-18.8MiB live, 14.4MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02354
13854
25154
35954
46454
56554
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness641.0ms (10.3%)

Memory
5.5MiB live, 320.7MiB allocated
Rules
15 408×lower-fma.f64
15 408×lower-fma.f32
5 018×lower-*.f32
5 010×lower-*.f64
4 240×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41045396
52097396
64072396
76268396
08056384
01066
01750
17544
265332
0874030
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 95 to 51 computations (46.3% saved)

preprocess43.0ms (0.7%)

Memory
23.5MiB live, 102.8MiB allocated
Remove

(abs i)

Compiler

Compiled 204 to 92 computations (54.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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