Octave 3.8, jcobi/4, as called

Time bar (total: 5.6s)

analyze15.0ms (0.3%)

Memory
-51.8MiB live, 6.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.2s (21.2%)

Memory
59.9MiB live, 1 587.3MiB allocated
Samples
856.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 624.0ms
ival-mult: 290.0ms (46.5% of total)
ival->: 137.0ms (21.9% of total)
ival-div: 104.0ms (16.7% of total)
ival-sub: 79.0ms (12.7% of total)
...in/eval/compile.rkt:110:19: 11.0ms (1.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess705.0ms (12.7%)

Memory
-14.2MiB live, 672.0MiB 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) (+.f64 (*.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)

explain425.0ms (7.6%)

Memory
-23.1MiB live, 325.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2040-3(1.6360891041648556e-78)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
590-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u650
(*.f64 (*.f64 i i) (*.f64 i i))underflow107
(*.f64 i i)underflow130
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow65
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o590
(*.f64 (*.f64 i i) (*.f64 i i))overflow95
(*.f64 i i)overflow118
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow59
/.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/o590
(*.f64 (*.f64 i i) (*.f64 i i))overflow95
(*.f64 i i)overflow118
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow59
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow59
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow59
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow59
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n410
(*.f64 (*.f64 i i) (*.f64 i i))underflow107
(*.f64 i i)underflow130
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n360
(*.f64 (*.f64 i i) (*.f64 i i))overflow95
(*.f64 i i)overflow118
Confusion
Predicted +Predicted -
+2013
-052
Precision
1.0
Recall
0.9852941176470589
Confusion?
Predicted +Predicted MaybePredicted -
+20103
-0052
Precision?
1.0
Recall?
0.9852941176470589
Freqs
test
numberfreq
055
1142
259
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms512×0valid
Compiler

Compiled 200 to 44 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 28.0ms (65.1% of total)
ival-mult: 12.0ms (27.9% of total)
ival-sub: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(/.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)

simplify357.0ms (6.4%)

Memory
11.6MiB live, 438.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 i i) (*.f64 i i))
cost-diff128
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff128
(/.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-diff512
(/.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) (+.f64 (*.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 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)
(+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)

localize36.0ms (0.6%)

Memory
-2.8MiB live, 76.3MiB 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))
accuracy77.7%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy29.0%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
22.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (53.5% of total)
ival-div: 3.0ms (26.7% of total)
ival-sub: 2.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
5 → 60
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 (* (* 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 (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

15 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
(* (* i i) (* i i))
0.0ms
i
@-inf
(* 2 i)

rewrite274.0ms (4.9%)

Memory
-2.8MiB live, 589.1MiB 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
01043
16837
264725
0881824
Stop Event
iter limit
node limit
Counts
5 → 543
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))
(* (* i i) (* i i))
(* 2 i)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(literal 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)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i #s(literal 2 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 #s(literal 4 binary64) i)) #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 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 (*.f64 i (*.f64 i i)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.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 2 binary64)) (*.f64 i #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal 2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -4 binary64))
(/.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal -2 binary64)) (*.f64 i #s(literal -2 binary64)))
(/.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 i i) #s(literal 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 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 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 2 binary64)) (*.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4 binary64)) (*.f64 i i))
(/.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal 4 binary64)) i)
(/.f64 (*.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) (*.f64 i i)) (*.f64 i i))
(/.f64 (*.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) i) i)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.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) (-.f64 #s(literal 0 binary64) (*.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 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i i))
(/.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i i)) #s(literal 4 binary64)) #s(literal 1 binary64)) i)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 2 binary64))) (*.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4 binary64))) (*.f64 i i))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 (*.f64 i i) #s(literal 2 binary64))) (*.f64 i (*.f64 i #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) (*.f64 i i)) (*.f64 i (*.f64 i #s(literal 2 binary64))))
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(*.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal -4 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) #s(literal 1 binary64)))
(*.f64 (*.f64 i #s(literal 4 binary64)) i)
(*.f64 (*.f64 i #s(literal 4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) i)))
(*.f64 (*.f64 i #s(literal 4 binary64)) (/.f64 i #s(literal 1 binary64)))
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 i (*.f64 i #s(literal -2 binary64))))
(*.f64 (*.f64 i #s(literal -2 binary64)) (*.f64 i #s(literal -2 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(*.f64 (*.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (exp.f64 (log.f64 (*.f64 i #s(literal 2 binary64)))) (exp.f64 (log.f64 (*.f64 i #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 4 binary64)))
(*.f64 (neg.f64 (*.f64 i #s(literal -2 binary64))) (*.f64 i #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64))) (*.f64 i #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 i #s(literal -4 binary64))) i)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i #s(literal 2 binary64)))) #s(literal 2 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 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) (*.f64 #s(literal 2 binary64) (log.f64 i))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 i i) (neg.f64 (-.f64 #s(literal 0 binary64) (*.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) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i (*.f64 i i)) i)
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (-.f64 #s(literal 0 binary64) i)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (-.f64 #s(literal 0 binary64) i))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 i i))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (*.f64 i (*.f64 i i)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.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))) (-.f64 #s(literal 0 binary64) 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)))

simplify405.0ms (7.3%)

Memory
-11.1MiB live, 824.8MiB allocated
Algorithm
egg-herbie
Rules
14 300×accelerator-lowering-fma.f32
14 300×accelerator-lowering-fma.f64
3 738×*-lowering-*.f32
3 738×*-lowering-*.f64
1 734×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047327
189327
2199326
3441322
4909322
51686322
62830322
74795322
85883322
97543322
08108319
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(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) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (-.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal 4 binary64)))))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 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 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 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))

eval155.0ms (2.8%)

Memory
10.9MiB live, 157.1MiB allocated
Compiler

Compiled 17 336 to 1 545 computations (91.1% saved)

prune75.0ms (1.3%)

Memory
8.3MiB live, 209.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New7185723
Fresh000
Picked101
Done000
Total7195724
Accuracy
100.0%
Counts
724 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
45.8%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
55.2%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
55.0%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
46.1%
#s(literal 1/16 binary64)
Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify79.0ms (1.4%)

Memory
27.1MiB live, 103.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
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 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 #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
1072583
1178583
1283983
13102483
14134783
15145883
16152083
17156283
18156983
19157083
20157083
0157083
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
(+ 1/16 (/ 1/64 (* i i)))
1/16
(/ 1/64 (* i i))
1/64
(* i i)
i
(* i (* i (- -1/4 (* i i))))
i
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
-1/4
(* 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 i (*.f64 i #s(literal -1/4 binary64)))
i
(* i -1/4)
(*.f64 i #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(+ 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
(* 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)))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(- -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)

localize66.0ms (1.2%)

Memory
-40.5MiB live, 132.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy100.0%
(*.f64 i i)
accuracy100.0%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy100.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.4%
(/.f64 #s(literal 1/64 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)
accuracy99.2%
(/.f64 #s(literal -4 binary64) (*.f64 i i))
accuracy99.0%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
Samples
30.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (52.9% of total)
ival-div: 5.0ms (26.5% of total)
ival-add: 2.0ms (10.6% of total)
ival-sub: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB 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 (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i i))>
#<alt (* i (* i (- -1/4 (* i i))))>
#<alt (* i (- -1/4 (* i i)))>
#<alt (- -1/4 (* 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 (/ 1/64 (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))>
#<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))))))>
Calls

33 calls:

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

rewrite305.0ms (5.5%)

Memory
8.7MiB live, 553.2MiB 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
0812862
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)
(+ 1/16 (/ 1/64 (* i i)))
(/ 1/64 (* i i))
(* i (* i (- -1/4 (* i i))))
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) 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 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) #s(literal -16 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)))) (*.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) 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 (/.f64 #s(literal 4 binary64) i) i)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))))
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal 256 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (*.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))))
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.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)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.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 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) 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 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) #s(literal -16 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i))) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))))
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i)))) (+.f64 #s(literal -4096 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) i) #s(literal 16 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))))
(/.f64 (+.f64 (/.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 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i)))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 i (/.f64 #s(literal -4 binary64) i))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (-.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -4096 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -64 binary64) (*.f64 i i))))))
(/.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i i)))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i i)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) i) #s(literal 16 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (+.f64 (/.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 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 i (/.f64 #s(literal -4 binary64) i))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (-.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 4096 binary64))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -64 binary64)) (*.f64 i i))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i i))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i i))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i (*.f64 i i))) #s(literal -256 binary64))) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) (+.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 1 binary64)) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/262144 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 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(*.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (*.f64 i i) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (-.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) #s(literal 1/16 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))))

simplify453.0ms (8.1%)

Memory
24.6MiB live, 745.8MiB 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
31520756
45296756
57714756
08029750
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)
(/ 1/64 (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))
(* -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))))))
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal -4 binary64)))))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 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)
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 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))
(* -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))
(-.f64 #s(literal 0 binary64) (*.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))
(-.f64 #s(literal 0 binary64) (*.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))))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (*.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))
(-.f64 #s(literal 0 binary64) (*.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
#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 #s(literal 0 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) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(-.f64 #s(literal 0 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) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))

eval137.0ms (2.5%)

Memory
-11.4MiB live, 140.6MiB allocated
Compiler

Compiled 13 817 to 1 488 computations (89.2% saved)

prune66.0ms (1.2%)

Memory
-8.8MiB live, 149.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New6720672
Fresh000
Picked055
Done000
Total6725677
Accuracy
100.0%
Counts
677 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
45.8%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
55.2%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
55.0%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
46.1%
#s(literal 1/16 binary64)
Compiler

Compiled 93 to 51 computations (45.2% saved)

regimes5.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 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:

3.0ms
i
2.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.0%1i
99.0%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)

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 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.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))))
(+.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
5.5MiB live, 5.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(*.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

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.6%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:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Memory
-32.9MiB live, 4.1MiB 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

1 calls:

3.0ms
i
Results
AccuracySegmentsBranch
46.1%1i
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch15.0ms (0.3%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.01391383035596387
3829.1202320899283
Samples
8.0ms144×0valid
Compiler

Compiled 209 to 140 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.4% of total)
ival-div: 2.0ms (35% of total)
ival-sub: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Memory
-6.7MiB live, 31.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.01391383035596387
3829.1202320899283
Samples
10.0ms144×0valid
Compiler

Compiled 173 to 122 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.4% of total)
ival-div: 2.0ms (33.6% of total)
ival-sub: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Memory
-7.6MiB live, 31.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.01391383035596387
3829.1202320899283
Samples
10.0ms144×0valid
Compiler

Compiled 119 to 86 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (56.3% of total)
ival-div: 2.0ms (28.1% of total)
ival-sub: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02356
13756
24456
34856
45056
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 (*.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 #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 #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 (*.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 #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 #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness696.0ms (12.5%)

Memory
-13.8MiB live, 298.5MiB allocated
Rules
14 300×accelerator-lowering-fma.f32
14 300×accelerator-lowering-fma.f64
5 046×*-lowering-*.f32
5 046×*-lowering-*.f64
4 332×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047327
189327
2199326
3441322
4909322
51686322
62830322
74795322
85883322
97543322
08108319
01043
16837
264725
0881824
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 100 to 54 computations (46% saved)

preprocess49.0ms (0.9%)

Memory
12.3MiB live, 130.6MiB allocated
Remove

(abs i)

Compiler

Compiled 208 to 92 computations (55.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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