Octave 3.8, jcobi/4, as called

Time bar (total: 7.1s)

analyze3.0ms (0%)

Memory
5.9MiB live, 5.9MiB 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)

sample1.2s (16.5%)

Memory
35.3MiB live, 1 374.3MiB allocated
Samples
848.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 681.0ms
ival-mult: 412.0ms (60.5% of total)
ival-sub: 97.0ms (14.2% of total)
ival-div: 94.0ms (13.8% of total)
ival->: 61.0ms (9% of total)
exact: 14.0ms (2.1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess486.0ms (6.9%)

Memory
-17.3MiB live, 614.3MiB 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)

explain182.0ms (2.6%)

Memory
23.6MiB live, 292.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1911(1.5579523483827425e-161)0-(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
600-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o600
(*.f64 (*.f64 i i) (*.f64 i i))overflow98
(*.f64 i i)overflow120
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow60
/.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/o600
(*.f64 (*.f64 i i) (*.f64 i i))overflow98
(*.f64 i i)overflow120
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow60
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow60
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow60
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow60
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u570
(*.f64 (*.f64 i i) (*.f64 i i))underflow94
(*.f64 i i)underflow114
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow57
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n380
(*.f64 (*.f64 i i) (*.f64 i i))overflow98
(*.f64 i i)overflow120
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n370
(*.f64 (*.f64 i i) (*.f64 i i))underflow94
(*.f64 i i)underflow114
Confusion
Predicted +Predicted -
+1910
-164
Precision
0.9947916666666666
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19100
-1064
Precision?
0.9947916666666666
Recall?
1.0
Freqs
test
numberfreq
064
1132
260
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 200 to 44 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (53.5% of total)
ival-div: 6.0ms (26.8% of total)
ival-sub: 4.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.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)

simplify283.0ms (4%)

Memory
-42.5MiB live, 425.2MiB 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)

localize60.0ms (0.8%)

Memory
17.5MiB live, 55.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy99.8%
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy77.3%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy33.2%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
17.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.3% of total)
ival-div: 3.0ms (29.1% of total)
ival-sub: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
5 → 60
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))>
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)>
Calls

15 calls:

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

rewrite283.0ms (4%)

Memory
-16.7MiB live, 420.5MiB 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
01063
01747
17541
265329
0874027
Stop Event
iter limit
node limit
iter limit
Counts
5 → 653
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))
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)
(/.f64 (*.f64 (neg.f64 (*.f64 i i)) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 i (*.f64 i #s(literal 2 binary64))))
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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))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i (*.f64 i i)) i)
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i)))
(*.f64 (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i))))
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (neg.f64 i))
(*.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 i i))
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 i (*.f64 i i)))
(*.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) i)

simplify466.0ms (6.6%)

Memory
39.1MiB live, 540.6MiB allocated
Algorithm
egg-herbie
Rules
16 840×lower-fma.f64
16 840×lower-fma.f32
4 084×lower-*.f64
4 084×lower-*.f32
1 760×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049365
194365
2218364
3503360
41053360
52102360
64010360
76212360
08170348
Stop Event
iter limit
node limit
Counts
60 → 60
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)
Outputs
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 #s(literal 1/4 binary64) 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 (*.f64 i 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 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i 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 #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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(* 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)))

eval94.0ms (1.3%)

Memory
-7.1MiB live, 238.6MiB allocated
Compiler

Compiled 20 743 to 1 781 computations (91.4% saved)

prune84.0ms (1.2%)

Memory
6.3MiB live, 244.0MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New7555760
Fresh000
Picked101
Done000
Total7565761
Accuracy
100.0%
Counts
761 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
53.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
47.2%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
47.3%
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
54.2%
#s(literal 1/16 binary64)
Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify76.0ms (1.1%)

Memory
-11.9MiB live, 101.1MiB 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
(fma.f64 i i #s(literal 1/4 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
cost-diff0
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
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.f32
806×lower-fma.f64
536×lower-*.f32
528×lower-*.f64
184×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01983
03083
15883
213583
328083
435983
547483
662383
784883
8101483
9111583
10118883
11128083
12133483
13134783
14135183
15135183
0135183
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)
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 i i)
i
(fma.f64 i i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(+.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)))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 i i)
i
(fma.f64 i i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(+.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

localize104.0ms (1.5%)

Memory
-12.8MiB live, 123.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.8%
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy100.0%
(fma.f64 i i #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 i i)
accuracy100.0%
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
accuracy99.9%
(*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
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)
accuracy99.8%
(/.f64 #s(literal 4 binary64) (*.f64 i i))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Samples
80.0ms256×0valid
Compiler

Compiled 88 to 21 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-add: 36.0ms (71.4% of total)
ival-mult: 6.0ms (11.9% of total)
ival-div: 5.0ms (9.9% of total)
ival-sub: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
17.7MiB live, 17.6MiB 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 (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))>
#<alt (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))>
#<alt (fma.f64 i i #s(literal 1/4 binary64))>
#<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 (pow i 2))>
#<alt (* (pow i 2) (+ 1/4 (pow i 2)))>
#<alt (* (pow i 2) (+ 1/4 (pow i 2)))>
#<alt (* (pow i 2) (+ 1/4 (pow i 2)))>
#<alt (pow i 4)>
#<alt (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (pow i 4)>
#<alt (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (pow i 2))>
#<alt (+ 1/4 (pow i 2))>
#<alt (+ 1/4 (pow i 2))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))>
#<alt (* (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
@inf
(* i (* i -1/4))
0.0ms
i
@0
(/ 1/64 (* i i))
0.0ms
i
@0
(* i -1/4)
0.0ms
i
@inf
(* (* i i) (+ (* i i) 1/4))
0.0ms
i
@0
(* i (* i -1/4))

rewrite308.0ms (4.4%)

Memory
-46.4MiB live, 566.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 948×lower-fma.f32
4 946×lower-fma.f64
4 302×lower-*.f32
4 294×lower-*.f64
3 880×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01965
03065
111965
284065
0854262
Stop Event
iter limit
node limit
iter limit
Counts
11 → 590
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))
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(fma.f64 i i #s(literal 1/4 binary64))
(+.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 (*.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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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)))))) #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 (/.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 #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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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 #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))))))))
(+.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))))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1 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 #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 (/.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 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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 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)))))) #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))))
(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)))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(neg.f64 (*.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 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #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 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
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(*.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/64 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 (/.f64 #s(literal 1 binary64) i) #s(literal 1/64 binary64)) i)
(/.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))
(pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)))

simplify555.0ms (7.9%)

Memory
50.0MiB live, 622.6MiB allocated
Algorithm
egg-herbie
Rules
15 108×lower-fma.f64
15 108×lower-fma.f32
2 822×lower-*.f64
2 822×lower-*.f32
2 084×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066822
1147822
2378772
31193772
43842772
57081772
08076748
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 (pow i 2))
(* (pow i 2) (+ 1/4 (pow i 2)))
(* (pow i 2) (+ 1/4 (pow i 2)))
(* (pow i 2) (+ 1/4 (pow i 2)))
(pow i 4)
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(pow i 4)
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
1/4
(+ 1/4 (pow i 2))
(+ 1/4 (pow i 2))
(+ 1/4 (pow i 2))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (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 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.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 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.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 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* (pow i 2) (+ 1/4 (pow i 2)))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (+ 1/4 (pow i 2)))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (+ 1/4 (pow i 2)))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(/ 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))

eval249.0ms (3.5%)

Memory
-13.5MiB live, 199.1MiB allocated
Compiler

Compiled 14 838 to 1 600 computations (89.2% saved)

prune478.0ms (6.8%)

Memory
9.0MiB live, 125.8MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7791780
Fresh000
Picked055
Done000
Total7796785
Accuracy
100.0%
Counts
785 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
99.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
53.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
47.2%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
47.3%
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
54.2%
#s(literal 1/16 binary64)
Compiler

Compiled 50 to 33 computations (34% saved)

simplify89.0ms (1.3%)

Memory
-20.6MiB live, 22.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 i)
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 i (*.f64 i i))
cost-diff640
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
Rules
464×lower-fma.f32
462×lower-fma.f64
288×lower-*.f32
282×lower-*.f64
96×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0730
01326
12924
26324
311524
416824
522424
636024
747724
857324
957424
057424
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i i))
i
(*.f64 i i)
(neg.f64 i)
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
Outputs
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i i))
i
(*.f64 i i)
(neg.f64 i)
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)

localize84.0ms (1.2%)

Memory
0.7MiB live, 38.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 i)
accuracy100.0%
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
accuracy99.9%
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
accuracy99.9%
(*.f64 i (*.f64 i i))
Samples
76.0ms256×0valid
Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 66.0ms (95.7% of total)
ival-add: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))>
#<alt (*.f64 i (*.f64 i i))>
#<alt (*.f64 i i)>
#<alt (neg.f64 i)>
#<alt (*.f64 (*.f64 i i) #s(literal -1/4 binary64))>
Outputs
#<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 (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<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 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<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))>
Calls

15 calls:

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

rewrite538.0ms (7.6%)

Memory
-5.0MiB live, 316.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 418×lower-fma.f32
4 416×lower-fma.f64
3 286×lower-*.f32
3 280×lower-*.f64
2 208×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01324
14322
228922
3307221
0985720
Stop Event
iter limit
node limit
iter limit
Counts
5 → 305
Calls
Call 1
Inputs
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i i))
(*.f64 i i)
(neg.f64 i)
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
Outputs
(+.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (*.f64 i i))))
(+.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(+.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(+.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) #s(literal 0 binary64)) (*.f64 i (*.f64 i (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (*.f64 i (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(-.f64 (*.f64 i (/.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64)))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64)))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))))
(-.f64 (fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (*.f64 i (*.f64 i (*.f64 i i))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1/4096 binary64)) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/16 binary64)) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1/4096 binary64)) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/16 binary64)) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1/256 binary64)) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))))))) (/.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1/4096 binary64)) (*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))))))))
(-.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (*.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/16 binary64)) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1/4096 binary64)) (*.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/16 binary64)) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))))))
(-.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1/256 binary64)) (*.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))
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(/.f64 (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 0 binary64)) (fma.f64 i (*.f64 i (*.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 #s(literal 0 binary64) (*.f64 i i)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 0 binary64) (fma.f64 i (*.f64 i (*.f64 i i)) (*.f64 #s(literal 0 binary64) (*.f64 i i)))))
(/.f64 (-.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 0 binary64)) (-.f64 (*.f64 i i) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 i (*.f64 i (*.f64 i i)) (*.f64 #s(literal 0 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 0 binary64))) (neg.f64 (fma.f64 i (*.f64 i (*.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 #s(literal 0 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (-.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 i i) #s(literal 0 binary64))))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 i))
(*.f64 i i)
(*.f64 (*.f64 i i) #s(literal -1 binary64))
(*.f64 (*.f64 i i) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 i i))
(*.f64 #s(literal 1 binary64) (*.f64 i i))
i
(+.f64 i #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) i)
(exp.f64 (log.f64 i))
(-.f64 #s(literal 0 binary64) i)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 i i)) i)
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) #s(literal 0 binary64)))) i)
(fma.f64 i #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 i i) (/.f64 #s(literal -1 binary64) i) #s(literal 0 binary64))
(fma.f64 (*.f64 i (*.f64 i i)) (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) i #s(literal 0 binary64))
(fma.f64 (sqrt.f64 i) (sqrt.f64 i) #s(literal 0 binary64))
(neg.f64 i)
(/.f64 (*.f64 i i) i)
(/.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))
(/.f64 (*.f64 i (*.f64 i i)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) #s(literal 0 binary64))))
(/.f64 (*.f64 i (*.f64 i i)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 i (*.f64 i i))))
(pow.f64 i #s(literal 1 binary64))
(pow.f64 (*.f64 i i) #s(literal 1/2 binary64))
(pow.f64 (/.f64 i (*.f64 i i)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 i) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64))
(*.f64 i #s(literal -1 binary64))
(*.f64 (*.f64 i i) (/.f64 #s(literal -1 binary64) i))
(*.f64 (*.f64 i (*.f64 i i)) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -1 binary64) i)
(*.f64 (sqrt.f64 i) (sqrt.f64 i))
(exp.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/4 binary64)) i)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i i))
(pow.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (neg.f64 (*.f64 i #s(literal -1/4 binary64))))
(*.f64 i (*.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64))))
(*.f64 i (exp.f64 (log.f64 (*.f64 i #s(literal -1/4 binary64)))))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (*.f64 i i) (exp.f64 (log.f64 #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 i #s(literal -1/4 binary64)) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (neg.f64 (*.f64 i #s(literal -1/4 binary64))) i)
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 (exp.f64 (log.f64 (*.f64 i #s(literal -1/4 binary64)))) i)
(*.f64 (exp.f64 (log.f64 #s(literal -1/4 binary64))) (*.f64 i i))

simplify254.0ms (3.6%)

Memory
10.4MiB live, 206.8MiB allocated
Algorithm
egg-herbie
Rules
3 616×lower-fma.f64
3 616×lower-fma.f32
2 926×lower-*.f64
2 926×lower-*.f32
1 300×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022259
151259
2123250
3304250
4707250
51527250
64201250
75154250
86618250
08080250
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1/4 (pow i 2))
(* -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))
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (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) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.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 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -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))

eval67.0ms (1%)

Memory
8.8MiB live, 125.6MiB allocated
Compiler

Compiled 13 738 to 905 computations (93.4% saved)

prune103.0ms (1.5%)

Memory
0.4MiB live, 121.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4140414
Fresh000
Picked011
Done055
Total4146420
Accuracy
100.0%
Counts
420 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
99.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
53.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
47.2%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
47.3%
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
54.2%
#s(literal 1/16 binary64)
Compiler

Compiled 120 to 63 computations (47.5% saved)

regimes6.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (/.f64 (*.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:

3.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%1i
99.4%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)

regimes43.0ms (0.6%)

Memory
-27.9MiB live, 10.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
Outputs
(fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

2 calls:

41.0ms
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
99.9%2i
78.2%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.9%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
Outputs
(neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
#s(literal 1/16 binary64)
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.8%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB 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
99.7%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
54.2%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)))
54.2%1i
Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch26.0ms (0.4%)

Memory
-6.1MiB live, 32.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
4.108882116381436e-6
145.51773678953143
Samples
19.0ms144×0valid
Compiler

Compiled 245 to 149 computations (39.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (53.3% of total)
ival-div: 2.0ms (35.5% of total)
ival-sub: 1.0ms (17.8% 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
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.108882116381436e-6
145.51773678953143
Compiler

Compiled 209 to 140 computations (33% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.108882116381436e-6
145.51773678953143
Compiler

Compiled 155 to 104 computations (32.9% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.108882116381436e-6
145.51773678953143
Compiler

Compiled 119 to 86 computations (27.7% saved)

simplify8.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02978
14978
26878
37878
48378
58478
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)) (fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) #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)) (fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) #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)

soundness892.0ms (12.6%)

Memory
-16.6MiB live, 418.8MiB allocated
Rules
16 840×lower-fma.f64
16 840×lower-fma.f32
5 018×lower-*.f32
5 010×lower-*.f64
4 948×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01965
03065
111965
284065
0854262
049365
194365
2218364
3503360
41053360
52102360
64010360
76212360
08170348
01063
01747
17541
265329
0874027
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 138 to 70 computations (49.3% saved)

preprocess47.0ms (0.7%)

Memory
5.0MiB live, 165.0MiB allocated
Remove

(abs i)

Compiler

Compiled 260 to 106 computations (59.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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