Octave 3.8, jcobi/4, as called

Time bar (total: 6.8s)

analyze3.0ms (0%)

Memory
6.2MiB live, 6.2MiB 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)

sample1.3s (19%)

Memory
0.6MiB live, 1 183.1MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 705.0ms
ival-mult: 420.0ms (59.6% of total)
ival-div: 181.0ms (25.7% of total)
ival-sub: 59.0ms (8.4% of total)
ival->: 28.0ms (4% of total)
exact: 14.0ms (2% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess531.0ms (7.9%)

Memory
10.3MiB live, 322.6MiB allocated
Algorithm
egg-herbie
Rules
7 204×accelerator-lowering-fma.f32
7 204×accelerator-lowering-fma.f64
5 094×*-lowering-*.f32
5 094×*-lowering-*.f64
3 164×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01964
18458
255939
3433039
01021
13819
217813
3105313
4363111
5527211
6730311
0801610
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
Call 2
Inputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)))
Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(* (* i i) (/ 1/4 (- -1 (* (* i i) -4))))
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))
(* (* i i) (/ 1/4 (- -1 (* (* i i) -4))))
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)))
(* (* i i) (/ 1/4 (+ 1 (* (* i i) -4))))
Symmetry

(abs i)

explain707.0ms (10.5%)

Memory
-29.3MiB live, 310.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1911(9.562586812651092e-162)2(1.1977874506053847e-80)(/.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)))u/u630
(*.f64 (*.f64 i i) (*.f64 i i))underflow100
(*.f64 i i)underflow128
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow63
/.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))overflow91
(*.f64 i i)overflow120
(*.f64 #s(literal 2 binary64) i)overflow2
(*.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))overflow91
(*.f64 #s(literal 2 binary64) i)overflow2
(*.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 #s(literal 2 binary64) i)overflow2
(-.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/n360
(*.f64 (*.f64 i i) (*.f64 i i))underflow100
(*.f64 i i)underflow128
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n310
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow120
Confusion
Predicted +Predicted -
+1892
-164
Precision
0.9947368421052631
Recall
0.9895287958115183
Confusion?
Predicted +Predicted MaybePredicted -
+18902
-1064
Precision?
0.9947368421052631
Recall?
0.9895287958115183
Freqs
test
numberfreq
066
1130
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 (54.1% of total)
ival-div: 6.0ms (27.1% of total)
ival-sub: 3.0ms (13.5% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.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)

simplify491.0ms (7.3%)

Memory
30.3MiB live, 601.1MiB 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×accelerator-lowering-fma.f32
7 204×accelerator-lowering-fma.f64
5 094×*-lowering-*.f32
5 094×*-lowering-*.f64
3 164×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01062
13856
217842
3105342
4363140
5527240
6730340
0801638
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(* (* i i) (* i i))
(* i i)
i
(* (* 2 i) (* 2 i))
(* 2 i)
2
(- (* (* 2 i) (* 2 i)) 1)
1
Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(* (* i i) (* i i))
(*.f64 i (*.f64 i (*.f64 i i)))
(* i i)
(*.f64 i i)
i
(* (* 2 i) (* 2 i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* (* 2 i) (* 2 i)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)

localize47.0ms (0.7%)

Memory
-21.8MiB live, 110.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) i)
accuracy99.8%
(*.f64 (*.f64 i i) (*.f64 i i))
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)))
accuracy32.9%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
33.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 20.0ms (78.6% of total)
ival-div: 4.0ms (15.7% of total)
ival-sub: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))>
#<alt (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))>
#<alt (* (* 2 i) (* 2 i))>
#<alt (- (* (* 2 i) (* 2 i)) 1)>
#<alt (* (* i i) (* i i))>
#<alt (* 2 i)>
Outputs
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
Calls

18 calls:

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

rewrite289.0ms (4.3%)

Memory
-3.8MiB live, 678.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 046×*-lowering-*.f32
5 046×*-lowering-*.f64
4 332×/-lowering-/.f32
4 332×/-lowering-/.f64
4 096×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01050
16844
264732
0881830
Stop Event
iter limit
node limit
Counts
6 → 700
Calls
Call 1
Inputs
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(* (* 2 i) (* 2 i))
(- (* (* 2 i) (* 2 i)) 1)
(* (* i i) (* i i))
(* 2 i)
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 (*.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)) (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 i (*.f64 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 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (*.f64 i (*.f64 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 i (*.f64 i #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (*.f64 i (*.f64 i #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i #s(literal -4 binary64))))
(/.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 (neg.f64 (*.f64 i 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 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 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 #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 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i 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 i (*.f64 i #s(literal 1/4 binary64))))) (*.f64 i i))
(/.f64 (*.f64 i (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) i)
(/.f64 (*.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (*.f64 i i)) (*.f64 i i))
(/.f64 (*.f64 (*.f64 i (*.f64 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 #s(literal 1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 i #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1 binary64)) (*.f64 i (*.f64 i #s(literal -4 binary64))))
(/.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))))
(/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i #s(literal 1/4 binary64))))) #s(literal 1 binary64)) (*.f64 i i))
(/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i #s(literal 1/4 binary64)))) #s(literal 1 binary64)) i)
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(/.f64 (*.f64 (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))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i 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 (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))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (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 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 i 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 (*.f64 i 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 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i 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 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 i 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 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 i 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 (*.f64 i 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 (*.f64 i 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 (*.f64 i 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 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (*.f64 #s(literal 2 binary64) (log.f64 i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i (*.f64 i i)) i)
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i)))
(*.f64 (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i))))
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (neg.f64 i))
(*.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 i i))
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 i (*.f64 i i)))
(*.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) i)
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) i)
(/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) (neg.f64 i))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify355.0ms (5.3%)

Memory
7.7MiB live, 684.0MiB allocated
Algorithm
egg-herbie
Rules
15 408×accelerator-lowering-fma.f32
15 408×accelerator-lowering-fma.f64
3 874×*-lowering-*.f32
3 874×*-lowering-*.f64
1 628×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval120.0ms (1.8%)

Memory
4.0MiB live, 190.6MiB allocated
Compiler

Compiled 24 103 to 1 985 computations (91.8% saved)

prune97.0ms (1.4%)

Memory
30.5MiB live, 265.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New8866892
Fresh000
Picked101
Done000
Total8876893
Accuracy
100.0%
Counts
893 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
48.1%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.7%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.7%
#s(literal 1/16 binary64)
Compiler

Compiled 98 to 70 computations (28.6% saved)

simplify87.0ms (1.3%)

Memory
-41.9MiB live, 99.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
cost-diff0
(*.f64 i i)
cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
cost-diff0
(*.f64 i #s(literal -1/4 binary64))
cost-diff0
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal -4 binary64) (*.f64 i i))
cost-diff0
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
Rules
808×accelerator-lowering-fma.f32
808×accelerator-lowering-fma.f64
536×*-lowering-*.f32
536×*-lowering-*.f64
212×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
13783
25583
39083
414183
518883
626483
741083
853083
961183
1072483
1178483
1283883
13102383
14134683
15145683
16151883
17156083
18156783
19156883
20156883
0156883
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (+ (/ -4 (* i i)) 16))
1
(+ (/ -4 (* i i)) 16)
(/ -4 (* i i))
-4
(* i i)
i
16
1/16
(* i (* i -1/4))
i
(* i -1/4)
-1/4
(* i (* i (- -1/4 (* i i))))
i
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
-1/4
(* i i)
(+ 1/16 (/ 1/64 (* i i)))
1/16
(/ 1/64 (* i i))
1/64
(* i i)
i
Outputs
(/ 1 (+ (/ -4 (* i i)) 16))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
1
#s(literal 1 binary64)
(+ (/ -4 (* i i)) 16)
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
(/ -4 (* i i))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
-4
#s(literal -4 binary64)
(* i i)
(*.f64 i i)
i
16
#s(literal 16 binary64)
1/16
#s(literal 1/16 binary64)
(* i (* i -1/4))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
i
(* i -1/4)
(*.f64 i #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* i (* i (- -1/4 (* i i))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
i
(* i (- -1/4 (* i i)))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(- -1/4 (* i i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
-1/4
#s(literal -1/4 binary64)
(* i i)
(*.f64 i i)
(+ 1/16 (/ 1/64 (* i i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(/ 1/64 (* i i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
1/64
#s(literal 1/64 binary64)
(* i i)
(*.f64 i i)
i

localize56.0ms (0.8%)

Memory
17.7MiB live, 136.1MiB 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)
accuracy99.6%
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy100.0%
(*.f64 i i)
accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy99.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
accuracy100.0%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
accuracy100.0%
(*.f64 i #s(literal -1/4 binary64))
accuracy100.0%
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
accuracy100.0%
(*.f64 i i)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
accuracy99.5%
(/.f64 #s(literal -4 binary64) (*.f64 i i))
Samples
32.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (43.2% of total)
ival-div: 5.0ms (24% of total)
ival-add: 5.0ms (24% of total)
ival-sub: 1.0ms (4.8% of total)
exact: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-15.6MiB live, 22.9MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (/ 1 (+ (/ -4 (* i i)) 16))>
#<alt (+ (/ -4 (* i i)) 16)>
#<alt (/ -4 (* i i))>
#<alt (* i i)>
#<alt (* i (* i -1/4))>
#<alt (* i -1/4)>
#<alt (* i (* i (- -1/4 (* i i))))>
#<alt (* i (- -1/4 (* i i)))>
#<alt (- -1/4 (* i i))>
#<alt (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i i))>
Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
Calls

33 calls:

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

rewrite295.0ms (4.4%)

Memory
15.4MiB live, 486.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 832×accelerator-lowering-fma.f32
4 832×accelerator-lowering-fma.f64
4 312×*-lowering-*.f32
4 312×*-lowering-*.f64
3 798×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01865
110165
272665
0812362
Stop Event
iter limit
node limit
Counts
11 → 480
Calls
Call 1
Inputs
(/ 1 (+ (/ -4 (* i i)) 16))
(+ (/ -4 (* i i)) 16)
(/ -4 (* i i))
(* i i)
(* i (* i -1/4))
(* i -1/4)
(* i (* i (- -1/4 (* i i))))
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
(+ 1/16 (/ 1/64 (* i i)))
(/ 1/64 (* i i))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64))) #s(literal -16 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64)))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64)))) (*.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 256 binary64)) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64))) (*.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -256 binary64)))))
(fma.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 4096 binary64)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (neg.f64 (+.f64 #s(literal -1/256 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (neg.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/256 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (fma.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1/4096 binary64) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/4096 binary64) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) (*.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1/4096 binary64) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/4096 binary64) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))
(/.f64 (*.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/.f64 (*.f64 (+.f64 #s(literal 1/68719476736 binary64) (/.f64 #s(literal 1/18014398509481984 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 1/4096 binary64)) #s(literal 1/16777216 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 1/65536 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/65536 binary64) (/.f64 (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (*.f64 i i) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(*.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))))
(*.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/256 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))))
(*.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(*.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))))
(*.f64 (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (*.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))) #s(literal 1/16777216 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) #s(literal 1/256 binary64)) #s(literal 1/65536 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))))) (-.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))
(*.f64 (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/256 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 binary64) (*.f64 i i)) #s(literal 64 binary64))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 64 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/64 binary64) i)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal 1 binary64)) (neg.f64 i))
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1 binary64)) i)
(pow.f64 (*.f64 (*.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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1/64 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (pow.f64 (*.f64 (*.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)))

simplify594.0ms (8.8%)

Memory
-88.8MiB live, 680.6MiB allocated
Algorithm
egg-herbie
Rules
18 308×accelerator-lowering-fma.f32
18 308×accelerator-lowering-fma.f64
3 626×*-lowering-*.f32
3 626×*-lowering-*.f64
1 790×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069824
1163824
2476760
31519756
45282756
57696756
08007750
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i 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 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 3))
(neg.f64 (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 3))
(neg.f64 (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))

eval83.0ms (1.2%)

Memory
-10.9MiB live, 185.3MiB allocated
Compiler

Compiled 13 412 to 1 477 computations (89% saved)

prune64.0ms (0.9%)

Memory
27.5MiB live, 142.6MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New6711672
Fresh101
Picked055
Done000
Total6726678
Accuracy
100.0%
Counts
678 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
48.1%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.7%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.7%
#s(literal 1/16 binary64)
Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify34.0ms (0.5%)

Memory
-11.8MiB live, 33.2MiB 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 (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
cost-diff320
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
288×*-lowering-*.f32
288×*-lowering-*.f64
96×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0832
12628
26226
310726
414926
520226
632926
742926
854426
954526
1054626
054626
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* i (+ (* (* i i) (neg i)) (* i -1/4)))
i
(+ (* (* i i) (neg i)) (* i -1/4))
(* i i)
(neg i)
(* i -1/4)
-1/4
Outputs
(* i (+ (* (* i i) (neg i)) (* i -1/4)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
i
(+ (* (* i i) (neg i)) (* i -1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i i)
(*.f64 i i)
(neg i)
(neg.f64 i)
(* i -1/4)
(*.f64 i #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)

localize27.0ms (0.4%)

Memory
-1.5MiB live, 36.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 i #s(literal -1/4 binary64))
accuracy100.0%
(neg.f64 i)
accuracy99.9%
(fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))
accuracy99.9%
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69.2% of total)
ival-add: 1.0ms (9.9% of total)
ival-neg: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+ (* (* i i) (neg i)) (* i -1/4))>
#<alt (* i (+ (* (* i i) (neg i)) (* i -1/4)))>
#<alt (* i i)>
#<alt (neg i)>
#<alt (* i -1/4)>
Outputs
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 (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 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 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)>
Calls

15 calls:

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

rewrite250.0ms (3.7%)

Memory
9.1MiB live, 363.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 008×accelerator-lowering-fma.f32
4 008×accelerator-lowering-fma.f64
3 006×*-lowering-*.f32
3 006×*-lowering-*.f64
2 384×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
14124
231924
3284023
0971521
Stop Event
iter limit
node limit
Counts
5 → 358
Calls
Call 1
Inputs
(+ (* (* i i) (neg i)) (* i -1/4))
(* i (+ (* (* i i) (neg i)) (* i -1/4)))
(* i i)
(neg i)
(* i -1/4)
Outputs
(+.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(+.f64 (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i)))
(+.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(+.f64 (-.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (*.f64 i (*.f64 i i)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(-.f64 (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))))
(-.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))))
(-.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64)))) (/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64)))) (/.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64)))))
(-.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) (*.f64 i (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 (*.f64 i 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 i)) (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/64 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/4096 binary64))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/64 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 (*.f64 i 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)))))))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/4096 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/256 binary64)) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 (*.f64 i 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 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/64 binary64))))) (/.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/4096 binary64))) (*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/64 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 (*.f64 i 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 (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))))) (/.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/4096 binary64))) (*.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 i (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 (*.f64 i i) #s(literal 1/16 binary64)) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/256 binary64)) (*.f64 (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (/.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))))) (fma.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (fma.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))))))) (/.f64 (*.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))))) (fma.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (fma.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64)))) (fma.f64 i (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))) (fma.f64 i (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64)))))))
(fma.f64 i (*.f64 i i) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 i #s(literal -1/4 binary64) (*.f64 i (*.f64 i i)))
(fma.f64 i #s(literal 1/4 binary64) (*.f64 i (*.f64 i i)))
(fma.f64 i (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 i (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 i (exp.f64 (log.f64 #s(literal -1/4 binary64))) (*.f64 i (*.f64 i i)))
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i i)) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i (*.f64 i i)) #s(literal 1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i (*.f64 i i)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i (*.f64 i i)) (/.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i i)) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i i)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1/4 binary64) i (*.f64 i (*.f64 i i)))
(fma.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 3 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 3 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)) (*.f64 i (*.f64 i i)))
(fma.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) (/.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) (/.f64 (*.f64 i i) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 #s(literal 1/4 binary64) i (*.f64 i (*.f64 i i)))
(fma.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 i (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/64 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (neg.f64 (*.f64 i (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))))
(fma.f64 (pow.f64 (sqrt.f64 i) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 i) #s(literal 3 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1/4 binary64))) i (*.f64 i (*.f64 i i)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 i (*.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/64 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (*.f64 i i)) #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
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(fma.f64 #s(literal -1 binary64) i #s(literal 0 binary64))
(fma.f64 (sqrt.f64 i) (sqrt.f64 i) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 i) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 i) #s(literal 1 binary64)) #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) (/.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 (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 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))
(*.f64 (pow.f64 (sqrt.f64 i) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 i) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 i #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 i #s(literal -1/4 binary64)))
(/.f64 (*.f64 i (*.f64 i #s(literal -1/4 binary64))) i)
(/.f64 (*.f64 i (*.f64 i (*.f64 i #s(literal -1/4 binary64)))) (*.f64 i i))
(pow.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i #s(literal 1/4 binary64))
(*.f64 i (exp.f64 (log.f64 #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 (exp.f64 (log.f64 #s(literal -1/4 binary64))) i)

simplify191.0ms (2.8%)

Memory
10.5MiB live, 243.6MiB allocated
Algorithm
egg-herbie
Rules
3 162×*-lowering-*.f32
3 162×*-lowering-*.f64
2 706×accelerator-lowering-fma.f32
2 706×accelerator-lowering-fma.f64
2 098×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027282
170282
2213264
3649264
42055264
53355264
64851264
77204264
08316264
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
Outputs
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(neg.f64 (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(neg.f64 (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.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 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 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)

eval71.0ms (1.1%)

Memory
-14.5MiB live, 97.5MiB allocated
Compiler

Compiled 13 055 to 1 115 computations (91.5% saved)

prune54.0ms (0.8%)

Memory
-0.8MiB live, 107.4MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4180418
Fresh000
Picked011
Done055
Total4186424
Accuracy
100.0%
Counts
424 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
48.1%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.7%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.7%
#s(literal 1/16 binary64)
Compiler

Compiled 128 to 65 computations (49.2% saved)

regimes9.0ms (0.1%)

Memory
-20.9MiB live, 15.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
Calls

2 calls:

6.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
3.0ms
i
Results
AccuracySegmentsBranch
99.6%1i
99.6%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
Outputs
(*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

2 calls:

2.0ms
i
2.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.8%2i
76.0%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.8%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.8%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB 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:

1.0ms
i
Results
AccuracySegmentsBranch
99.6%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Memory
-30.5MiB live, 7.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

4.0ms
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
48.7%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
48.7%1i
Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch17.0ms (0.2%)

Memory
33.1MiB live, 33.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.005993342072913746
45689878.09145399
Samples
10.0ms160×0valid
Compiler

Compiled 249 to 164 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (60.7% of total)
ival-div: 2.0ms (30.3% of total)
ival-sub: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
-2.8MiB live, 37.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.005993342072913746
45689878.09145399
Samples
16.0ms160×0valid
Compiler

Compiled 229 to 154 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (77.1% of total)
ival-div: 2.0ms (15.4% of total)
ival-sub: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Memory
-0.1MiB live, 38.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.005993342072913746
45689878.09145399
Samples
10.0ms160×0valid
Compiler

Compiled 169 to 114 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59.9% of total)
ival-div: 2.0ms (30% of total)
ival-sub: 1.0ms (15% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Memory
1.5MiB live, 40.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.005993342072913746
45689878.09145399
Samples
13.0ms160×0valid
Compiler

Compiled 129 to 94 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.6% of total)
ival-div: 2.0ms (19.6% of total)
ival-sub: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Memory
-19.8MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02776
14476
25076
35376
45476
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (fma.f64 (*.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness859.0ms (12.7%)

Memory
4.7MiB live, 525.8MiB allocated
Rules
15 408×accelerator-lowering-fma.f32
15 408×accelerator-lowering-fma.f64
5 046×*-lowering-*.f32
5 046×*-lowering-*.f64
4 832×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41045396
52097396
64072396
76268396
08056384
01865
110165
272665
0812362
01050
16844
264732
0881830
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 148 to 75 computations (49.3% saved)

preprocess36.0ms (0.5%)

Memory
6.1MiB live, 81.0MiB allocated
Remove

(abs i)

Compiler

Compiled 252 to 102 computations (59.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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