Octave 3.8, jcobi/4, as called

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB 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)

sample977.0ms (20.3%)

Memory
10.9MiB live, 1 293.8MiB allocated
Samples
709.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-mult: 235.0ms (48.8% of total)
ival-div: 137.0ms (28.5% of total)
ival-sub: 68.0ms (14.1% of total)
ival->: 23.0ms (4.8% of total)
exact: 15.0ms (3.1% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain136.0ms (2.8%)

Memory
36.2MiB live, 267.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1850-1(1.039256914201151e-80)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
640-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o640
(*.f64 (*.f64 i i) (*.f64 i i))overflow100
(*.f64 i i)overflow128
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow64
/.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/o640
(*.f64 (*.f64 i i) (*.f64 i i))overflow100
(*.f64 i i)overflow128
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow64
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow64
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow64
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow64
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u560
(*.f64 (*.f64 i i) (*.f64 i i))underflow84
(*.f64 i i)underflow112
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow56
/.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))overflow100
(*.f64 i i)overflow128
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n280
(*.f64 (*.f64 i i) (*.f64 i i))underflow84
(*.f64 i i)underflow112
Confusion
Predicted +Predicted -
+1841
-071
Precision
1.0
Recall
0.9945945945945946
Confusion?
Predicted +Predicted MaybePredicted -
+18401
-0071
Precision?
1.0
Recall?
0.9945945945945946
Freqs
test
numberfreq
072
1120
264
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 12.0ms (49.8% of total)
ival-div: 6.0ms (24.9% of total)
ival-sub: 5.0ms (20.7% of total)
exact: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess266.0ms (5.5%)

Memory
-3.6MiB live, 183.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
16243
250326
3400126
01025
01721
15619
238213
3306413
0843112
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 10 computations (60% saved)

simplify160.0ms (3.3%)

Memory
12.4MiB live, 170.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff4
(*.f64 (*.f64 i i) (*.f64 i i))
cost-diff4
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
15656
238242
3306442
0843140
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize52.0ms (1.1%)

Memory
-21.8MiB live, 76.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.18492128907376806
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy15.505487769631252
(/.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)))
accuracy41.52169260585622
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
45.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 19.0ms (55.5% of total)
ival-sub: 12.0ms (35.1% of total)
ival-div: 3.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
6 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Calls

3 calls:

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

simplify187.0ms (3.9%)

Memory
4.7MiB live, 121.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050126
195126
2209126
3495126
41135126
51599126
61870126
72048126
82062126
92062126
102062126
112488126
123407126
133413126
143439126
153803126
164501126
175100126
185965126
08014124
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Outputs
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))

rewrite70.0ms (1.5%)

Memory
1.1MiB live, 73.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17944
066142
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 166
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 i) i) i))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) i))
(*.f64 (/.f64 (*.f64 i i) #s(literal 4 binary64)) (/.f64 (*.f64 i i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)) (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(*.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i i)))
(*.f64 (/.f64 i (*.f64 #s(literal -2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
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(+.f64 i i)

eval38.0ms (0.8%)

Memory
-28.6MiB live, 57.7MiB allocated
Compiler

Compiled 5 966 to 690 computations (88.4% saved)

prune7.0ms (0.2%)

Memory
23.9MiB live, 23.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2267233
Fresh000
Picked101
Done000
Total2277234
Accuracy
100.0%
Counts
234 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
75.6%
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
53.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
47.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
47.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
47.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
53.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 450 to 224 computations (50.2% saved)

simplify186.0ms (3.9%)

Memory
7.5MiB live, 121.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 i) i)
cost-diff0
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) i)
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff2
(/.f64 i i)
cost-diff2
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
cost-diff4
(/.f64 i (*.f64 i #s(literal 4 binary64)))
cost-diff4
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038269
057223
1128188
2516188
32956188
08894183
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 i i)
(-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)
Outputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
#s(literal 1/4 binary64)
(/.f64 i (*.f64 i #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
(/.f64 i i)
#s(literal 1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)

localize88.0ms (1.8%)

Memory
-15.7MiB live, 147.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(neg.f64 i)
accuracy0.08269501953688403
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy33.63953604019672
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
accuracy0.0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.29276805726168
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy29.77542558520087
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy0.0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) i)
accuracy33.73078831151327
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
accuracy29.701088447660503
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.0078125
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
accuracy0.06640625
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
accuracy15.01511516755334
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
Samples
69.0ms256×0valid
Compiler

Compiled 247 to 34 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 32.0ms (62.6% of total)
ival-div: 10.0ms (19.5% of total)
ival-sub: 3.0ms (5.9% of total)
ival-add: 3.0ms (5.9% of total)
exact: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
20 → 41
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(/.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/4
1
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (+ 1 (* -2 i)))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(- (* -1/2 i) 1/4)
(- (* i (- (* -1 i) 1/2)) 1/4)
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(* 2 i)
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* 1/2 i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
i
@-inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))
3.0ms
i
@inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))
3.0ms
i
@0
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))

simplify167.0ms (3.5%)

Memory
-71.1MiB live, 91.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151381
1402369
21085353
33739349
08445342
Stop Event
iter limit
node limit
Counts
41 → 41
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))
1/4
1
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (+ 1 (* -2 i)))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(- (* -1/2 i) 1/4)
(- (* i (- (* -1 i) 1/2)) 1/4)
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(* 2 i)
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* 1/2 i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
1/4
#s(literal 1/4 binary64)
1
#s(literal 1 binary64)
(* -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 i i)) #s(literal -1/16 binary64))
(pow i 2)
(*.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))
(*.f64 (neg.f64 i) i)
(* (pow i 2) (+ 1 (* -2 i)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i) i)
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) i) i)
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -8 binary64) i #s(literal 4 binary64)) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) i) i)
(- (* -1/2 i) 1/4)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
(- (* i (- (* -1 i) 1/2)) 1/4)
(-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* -1 i)
(neg.f64 i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(fma.f64 #s(literal 1/2 binary64) i #s(literal -1/4 binary64))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) i #s(literal -1/4 binary64))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) (*.f64 i i))) i #s(literal -1/4 binary64))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/32 binary64)) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal -1/4 binary64)) (neg.f64 i)) #s(literal 1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) (neg.f64 i)) #s(literal 1/2 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/32 binary64)) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)

rewrite88.0ms (1.8%)

Memory
14.5MiB live, 92.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038239
057182
1210158
01312153
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 160
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(/.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (/.f64 i (*.f64 #s(literal 4 binary64) (*.f64 i i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (*.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(*.f64 (*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 (*.f64 i i) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(*.f64 (*.f64 i i) (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal -1/4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (*.f64 i i))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
#s(literal 1/4 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (neg.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 i (*.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(*.f64 i (*.f64 #s(literal -1/4 binary64) i))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) i))
(/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 i #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 3 binary64))) (+.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/4096 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))))
(*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)))
(*.f64 i (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 i i)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (*.f64 i i)) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 i i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 i i) (-.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/64 binary64) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 i))
(*.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 i) i)
(*.f64 i (neg.f64 i))
(neg.f64 (*.f64 i i))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)
(*.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (neg.f64 i) (/.f64 i (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 (neg.f64 i) (/.f64 (neg.f64 i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 i i) (neg.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 i i) (*.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (*.f64 i i) (*.f64 i i))))
(fma.f64 #s(literal 1 binary64) i i)
(fma.f64 i #s(literal 1 binary64) i)
(+.f64 i i)
(neg.f64 i)

eval42.0ms (0.9%)

Memory
15.9MiB live, 53.5MiB allocated
Compiler

Compiled 7 086 to 781 computations (89% saved)

prune25.0ms (0.5%)

Memory
-14.8MiB live, 21.8MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2254229
Fresh202
Picked235
Done000
Total2297236
Accuracy
100.0%
Counts
236 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
75.6%
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
53.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
47.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
47.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
53.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
47.4%
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
Compiler

Compiled 196 to 102 computations (48% saved)

simplify128.0ms (2.7%)

Memory
12.0MiB live, 128.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
cost-diff0
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
cost-diff4
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
cost-diff0
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043220
059212
1137191
2577191
33330191
08462191
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) i)
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)

localize104.0ms (2.2%)

Memory
-20.7MiB live, 182.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
accuracy15.505487769631252
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.0078125
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
accuracy0.06640625
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
accuracy15.01511516755334
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy0.0
(*.f64 i i)
accuracy0.0
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy0.08269501953688403
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
accuracy33.63953604019672
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
accuracy0.0
(*.f64 i i)
accuracy0.03515625
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy0.07421875
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
accuracy33.63953604019672
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
Samples
64.0ms256×0valid
Compiler

Compiled 189 to 38 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 24.0ms (50.1% of total)
ival-div: 11.0ms (23% of total)
ival-sub: 8.0ms (16.7% of total)
ival-add: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
16 → 47
Calls
Call 1
Inputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(pow i 2)
(* (pow i 2) (+ 1 (* -2 i)))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
1
(+ 1 (* 2 i))
(* 1/4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* -1/2 i) 1/4)
(- (* i (- (* -1 i) 1/2)) 1/4)
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(* 2 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* 1/2 i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(* i (+ 2 (/ 1 i)))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
Calls

3 calls:

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

simplify155.0ms (3.2%)

Memory
-8.6MiB live, 149.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160417
1430405
21182393
33900391
08326382
Stop Event
iter limit
node limit
Counts
47 → 47
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))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(pow i 2)
(* (pow i 2) (+ 1 (* -2 i)))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
1
(+ 1 (* 2 i))
(* 1/4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* -1/2 i) 1/4)
(- (* i (- (* -1 i) 1/2)) 1/4)
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(* 2 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* 1/2 i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(* i (+ 2 (/ 1 i)))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (* -2 i)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i) i)
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) i) i)
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -8 binary64) i #s(literal 4 binary64)) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) i) i)
1
#s(literal 1 binary64)
(+ 1 (* 2 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* 1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64))
(- (* -1/2 i) 1/4)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
(- (* i (- (* -1 i) 1/2)) 1/4)
(-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(* -1 (pow i 3))
(pow.f64 (neg.f64 i) #s(literal 3 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(fma.f64 #s(literal 1/2 binary64) i #s(literal -1/4 binary64))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) i #s(literal -1/4 binary64))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) (*.f64 i i))) i #s(literal -1/4 binary64))
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal -1/4 binary64)) (neg.f64 i)) #s(literal 1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) (neg.f64 i)) #s(literal 1/2 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)

rewrite83.0ms (1.7%)

Memory
16.1MiB live, 104.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043189
059164
1237160
01400160
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 322
Calls
Call 1
Inputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
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(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #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) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (*.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 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i)) (neg.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) i) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 i) (*.f64 #s(literal -4 binary64) i) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i))))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 i i) (*.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (*.f64 i i) (*.f64 i i))))
(fma.f64 #s(literal 1 binary64) i i)
(fma.f64 i #s(literal 1 binary64) i)
(+.f64 i i)

eval80.0ms (1.7%)

Memory
-10.8MiB live, 99.7MiB allocated
Compiler

Compiled 10 691 to 1 308 computations (87.8% saved)

prune14.0ms (0.3%)

Memory
-15.6MiB live, 31.8MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4081409
Fresh000
Picked134
Done033
Total4097416
Accuracy
100.0%
Counts
416 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
75.6%
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
53.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
47.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
47.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
53.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
47.4%
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
Compiler

Compiled 196 to 102 computations (48% saved)

simplify205.0ms (4.3%)

Memory
21.8MiB live, 175.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
cost-diff4
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
01950
13850
28850
322449
453347
5104047
6277147
7617347
0863846
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(-.f64 (+.f64 i i) #s(literal 1 binary64))
(+.f64 i i)
Outputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(-.f64 (+.f64 i i) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(+.f64 i i)
(*.f64 #s(literal 2 binary64) i)

localize30.0ms (0.6%)

Memory
-6.2MiB live, 31.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0078125
(/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64)))
accuracy0.06640625
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
accuracy15.01511516755334
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 55 to 14 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42.5% of total)
ival-div: 3.0ms (25.5% of total)
ival-add: 2.0ms (17% of total)
ival-sub: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
5 → 33
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64)))
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 2)
(* (pow i 2) (+ 1 (* -2 i)))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
1
(+ 1 (* 2 i))
-1/4
(- (* -1/2 i) 1/4)
(- (* i (- (* -1 i) 1/2)) 1/4)
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 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))))))
(* 1/2 i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(* 2 i)
(* i (+ 2 (/ 1 i)))
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ 1/4 (- (+ i i) 1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) (+ (* 2 i) 1) (/ 1/4 (- (+ i i) 1)))
1.0ms
i
@inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ 1/4 (- (+ i i) 1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) (+ (* 2 i) 1) (/ 1/4 (- (+ i i) 1)))
0.0ms
i
@0
((* (/ (* i i) (+ (* 2 i) 1)) (/ 1/4 (- (+ i i) 1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) (+ (* 2 i) 1) (/ 1/4 (- (+ i i) 1)))

simplify208.0ms (4.3%)

Memory
9.4MiB live, 125.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143333
1371321
2912315
32806313
08472304
Stop Event
iter limit
node limit
Counts
33 → 33
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))
(pow i 2)
(* (pow i 2) (+ 1 (* -2 i)))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
1
(+ 1 (* 2 i))
-1/4
(- (* -1/2 i) 1/4)
(- (* i (- (* -1 i) 1/2)) 1/4)
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 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))))))
(* 1/2 i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(* 2 i)
(* i (+ 2 (/ 1 i)))
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (* -2 i)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i) i)
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) i) i)
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -8 binary64) i #s(literal 4 binary64)) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) i) i)
1
#s(literal 1 binary64)
(+ 1 (* 2 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* -1/2 i) 1/4)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
(- (* i (- (* -1 i) 1/2)) 1/4)
(-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(fma.f64 #s(literal 1/2 binary64) i #s(literal -1/4 binary64))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) i #s(literal -1/4 binary64))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) i)) i #s(literal -1/4 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal -1/4 binary64)) (neg.f64 i)) #s(literal 1/2 binary64)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(*.f64 (neg.f64 i) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) i))))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) i) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64)) i)

rewrite63.0ms (1.3%)

Memory
13.0MiB live, 48.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
01938
18533
064331
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 96
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 i i))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (*.f64 i i) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 i (*.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (neg.f64 i) i)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 i i))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)
(*.f64 (neg.f64 i) (/.f64 (neg.f64 i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (fma.f64 #s(literal 2 binary64) i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))
(*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 i) i) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 i i) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 i i)
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) i #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i)) (neg.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) i)) (fabs.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 i (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 i (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) i) i)
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))))
(+.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))
(+.f64 i (+.f64 i #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))

eval45.0ms (0.9%)

Memory
-11.4MiB live, 27.4MiB allocated
Compiler

Compiled 2 535 to 459 computations (81.9% saved)

prune6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1260126
Fresh000
Picked011
Done066
Total1267133
Accuracy
100.0%
Counts
133 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
75.6%
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
53.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
47.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
47.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
53.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
47.4%
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
Compiler

Compiled 567 to 190 computations (66.5% saved)

regimes23.0ms (0.5%)

Memory
-18.0MiB live, 21.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 i i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

2 calls:

19.0ms
i
4.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%2i
78.8%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.8%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.4%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes31.0ms (0.7%)

Memory
-32.3MiB live, 15.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
99.2%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
53.6%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)))
53.6%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
46913664.47824305
16621660785.788857
Samples
1.0ms16×0valid
Compiler

Compiled 67 to 36 computations (46.3% saved)

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

bsearch40.0ms (0.8%)

Memory
-15.4MiB live, 23.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
0.020021130373105652
14940.577942376456
Samples
9.0ms144×0valid
Compiler

Compiled 640 to 365 computations (43% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.1% of total)
ival-div: 2.0ms (33.4% of total)
ival-sub: 1.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.020021130373105652
14940.577942376456
Compiler

Compiled 586 to 329 computations (43.9% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.020021130373105652
14940.577942376456
Compiler

Compiled 550 to 266 computations (51.6% saved)

simplify45.0ms (0.9%)

Memory
3.8MiB live, 40.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048262
1108234
2519202
33837202
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness953.0ms (19.9%)

Memory
11.3MiB live, 325.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050126
195126
2209126
3495126
41135126
51599126
61870126
72048126
82062126
92062126
102062126
112488126
123407126
133413126
143439126
153803126
164501126
175100126
185965126
08014124
0151381
1402369
21085353
33739349
08445342
038239
057182
1210158
01312153
01066
01750
17944
066142
Stop Event
done
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 385 to 114 computations (70.4% saved)

preprocess58.0ms (1.2%)

Memory
14.0MiB live, 51.5MiB allocated
Remove

(abs i)

Compiler

Compiled 676 to 162 computations (76% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...