Octave 3.8, jcobi/4, as called

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.1s (42%)

Memory
1.0MiB live, 1 292.7MiB allocated; 329ms collecting garbage
Samples
713.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 458.0ms
ival-mult: 279.0ms (61% of total)
ival-div: 116.0ms (25.3% of total)
ival-sub: 48.0ms (10.5% of total)
exact: 10.0ms (2.2% of total)
adjust: 3.0ms (0.7% of total)
ival-assert: 2.0ms (0.4% of total)
Bogosity

explain177.0ms (6.8%)

Memory
-10.6MiB live, 229.6MiB allocated; 24ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1890-2(2.7789797544095466e-81)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
650-0-(/.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/o650
(*.f64 (*.f64 i i) (*.f64 i i))overflow96
(*.f64 i i)overflow130
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
/.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))overflow96
(*.f64 i i)overflow130
(/.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))overflow65
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow65
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u610
(*.f64 (*.f64 i i) (*.f64 i i))underflow91
(*.f64 i i)underflow122
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow61
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n310
(*.f64 (*.f64 i i) (*.f64 i i))overflow96
(*.f64 i i)overflow130
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n300
(*.f64 (*.f64 i i) (*.f64 i i))underflow91
(*.f64 i i)underflow122
/.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)))n/o10
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow65
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
Confusion
Predicted +Predicted -
+1872
-067
Precision
1.0
Recall
0.9894179894179894
Confusion?
Predicted +Predicted MaybePredicted -
+18702
-0067
Precision?
1.0
Recall?
0.9894179894179894
Freqs
test
numberfreq
069
1122
265
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 36.0ms (77.9% of total)
ival-div: 6.0ms (13% of total)
ival-sub: 3.0ms (6.5% of total)
ival-true: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess183.0ms (7%)

Memory
-31.5MiB live, 165.4MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01964
19958
278239
3478139
01025
01721
15619
240013
3344313
0967712
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; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(/.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 25 to 10 computations (60% saved)

series7.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
10 → 18
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
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i i) (* i i)) #s(hole binary64 (pow i 4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
i
@inf
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
2.0ms
i
@-inf
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
2.0ms
i
@0
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

rewrite118.0ms (4.5%)

Memory
-1.3MiB live, 90.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081510
094393
1390393
03271371
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
28 → 241
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)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i i) (* i i)) #s(hole binary64 (pow i 4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i)) (fma.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 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 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 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (/.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (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))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.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 i i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(*.f64 (*.f64 i i) (/.f64 (*.f64 i i) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 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 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) i) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i)) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i)) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i #s(literal 4 binary64))) (/.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) (*.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) #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)))
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(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 i #s(literal 4 binary64)) #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 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #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 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (/.f64 #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 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 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 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) 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 (fma.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (*.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
#s(approx (* (* i i) (* i i)) (pow.f64 i #s(literal 4 binary64)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (* (* 2 i) (* 2 i)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (* 2 i) (*.f64 #s(literal 2 binary64) i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) 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))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal -1/16 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i))

eval35.0ms (1.3%)

Memory
4.6MiB live, 57.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 275 to 1 027 computations (88.9% saved)

prune11.0ms (0.4%)

Memory
-18.6MiB live, 28.4MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3525357
Fresh000
Picked101
Done000
Total3535358
Accuracy
100.0%
Counts
358 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
75.3%
(*.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)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
48.1%
#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)))
48.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
52.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 296 to 150 computations (49.3% saved)

series12.0ms (0.4%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Counts
32 → 71
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)) (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)))
(*.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)) (fma.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)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 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(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 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)
#s(literal 1/4 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(hole binary64 1/4))
#s(approx (/ i (* i 4)) #s(hole binary64 1/4))
#s(approx (* i 4) #s(hole binary64 (* 4 i)))
#s(approx (/ i i) #s(hole binary64 1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (* i i) -1/4) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (* (neg i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* 1/4 (* i i)) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
i
@-inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) (/ i (* i 4)) (* i 4) 4 (/ i i) (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* 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) (neg i) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i))
4.0ms
i
@inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) (/ i (* i 4)) (* i 4) 4 (/ i i) (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* 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) (neg i) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i))
2.0ms
i
@0
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) (/ i (* i 4)) (* i 4) 4 (/ i i) (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* 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) (neg i) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i))

rewrite172.0ms (6.6%)

Memory
11.4MiB live, 190.2MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02761804
03111420
113521373
081701331
Stop Event
iter limit
node limit
iter limit
Counts
103 → 309
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)) (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)))
(*.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)) (fma.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)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 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(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 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)
#s(literal 1/4 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(hole binary64 1/4))
#s(approx (/ i (* i 4)) #s(hole binary64 1/4))
#s(approx (* i 4) #s(hole binary64 (* 4 i)))
#s(approx (/ i i) #s(hole binary64 1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (* i i) -1/4) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (* (neg i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* 1/4 (* i i)) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (- (* (neg i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 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))) (/.f64 (*.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 2 binary64) i #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(*.f64 (*.f64 i (/.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 (neg.f64 (*.f64 (*.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 (neg.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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 #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 (*.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 i i) (/.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 (*.f64 i i) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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 (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 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (neg.f64 (neg.f64 (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) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 i) #s(literal -1 binary64)) (*.f64 (fabs.f64 i) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 i) #s(literal 1 binary64)) (*.f64 (fabs.f64 i) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 i)) (*.f64 #s(literal -1 binary64) (fabs.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 i)) (*.f64 #s(literal 1 binary64) (fabs.f64 i)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 i)) (*.f64 #s(literal -1 binary64) (neg.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (neg.f64 i) #s(literal -1 binary64)) (*.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (neg.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 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(*.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i #s(literal 1 binary64)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 (*.f64 i i) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 i i)
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))))
i
(*.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64)) i)
(*.f64 i (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (*.f64 (*.f64 i (pow.f64 i #s(literal -1 binary64))) (*.f64 i (pow.f64 i #s(literal -1 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 i (pow.f64 i #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 #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 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 i (pow.f64 i #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 i (pow.f64 i #s(literal -1 binary64))) (*.f64 i (pow.f64 i #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 i (pow.f64 i #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) i (*.f64 i (pow.f64 i #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(fma.f64 i #s(literal 2 binary64) (*.f64 i (pow.f64 i #s(literal -1 binary64))))
(fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (neg.f64 (pow.f64 i #s(literal -1 binary64))) i))
(-.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (neg.f64 i) (pow.f64 i #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) #s(literal 2 binary64)))
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(fma.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))
(fma.f64 #s(literal 2 binary64) (*.f64 i (*.f64 #s(literal 2 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)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 i) #s(literal 2 binary64)) (*.f64 (neg.f64 i) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i)))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i)) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i))))
(*.f64 (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) i)) (fabs.f64 (*.f64 #s(literal -2 binary64) i)))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.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)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) i)
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i)) (neg.f64 (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.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) (*.f64 i (*.f64 #s(literal 2 binary64) i)))
(pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 2 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))))
(+.f64 i i)
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #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 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 i i)) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 i i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.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)) (*.f64 i i)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (+ (* 2 i) 1) #s(literal 1 binary64))
#s(approx (+ (* 2 i) 1) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(literal -1/4 binary64))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.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)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))
#s(approx (* i 4) (*.f64 #s(literal 4 binary64) i))
#s(approx (/ i i) #s(literal 1 binary64))
#s(approx (+ (* 2 i) -1) #s(literal -1 binary64))
#s(approx (+ (* 2 i) -1) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 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))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) (*.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 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 i i)) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (* (* i i) -1/4) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
#s(approx (- (* (neg i) i) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (neg i) i) 1/4) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)))
#s(approx (* (neg i) i) (*.f64 (neg.f64 i) i))
#s(approx (neg i) (neg.f64 i))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
#s(approx (* 1/4 (* i i)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (* (* 2 i) (* 2 i)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (* 2 i) (*.f64 #s(literal 2 binary64) i))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(literal 1/16 binary64))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 #s(literal 1/2 binary64) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) i))) i))
#s(approx (+ (* 2 i) 1) (*.f64 #s(literal 2 binary64) i))
#s(approx (+ (* 2 i) 1) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal -1/8 binary64)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) (/.f64 #s(literal 1/16 binary64) i)) #s(literal -1/8 binary64)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/16 binary64) i))) i))
#s(approx (+ (* 2 i) -1) (*.f64 #s(literal 2 binary64) i))
#s(approx (+ (* 2 i) -1) (*.f64 (-.f64 #s(literal 2 binary64) (pow.f64 i #s(literal -1 binary64))) 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)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 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 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (- (* (neg i) i) 1/4) (*.f64 (neg.f64 i) i))
#s(approx (- (* (neg i) i) 1/4) (*.f64 (*.f64 (neg.f64 i) i) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i)) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64)) i)) #s(literal 1/8 binary64)) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)) i)) #s(literal 1/8 binary64)) i)))
#s(approx (+ (* 2 i) -1) (*.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))))

eval50.0ms (1.9%)

Memory
-5.0MiB live, 82.0MiB allocated; 18ms collecting garbage
Compiler

Compiled 14 636 to 1 380 computations (90.6% saved)

prune11.0ms (0.4%)

Memory
30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4412443
Fresh000
Picked235
Done000
Total4435448
Accuracy
100.0%
Counts
448 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
75.3%
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
48.1%
#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)))
48.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
52.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 131 to 68 computations (48.1% saved)

series13.0ms (0.5%)

Memory
-51.9MiB live, 7.7MiB allocated; 15ms collecting garbage
Counts
16 → 54
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (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)))
(*.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(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(hole binary64 1/4))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (* i i) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
i
@-inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) 1/4 (+ (* 2 i) -1) -1 (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) (* (* i i) 1/4) (+ (* (* i i) 4) -1) 4)
1.0ms
i
@inf
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) 1/4 (+ (* 2 i) -1) -1 (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) (* (* i i) 1/4) (+ (* (* i i) 4) -1) 4)
1.0ms
i
@0
((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) 1/4 (+ (* 2 i) -1) -1 (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) (* (* i i) 1/4) (+ (* (* i i) 4) -1) 4)

rewrite155.0ms (5.9%)

Memory
42.7MiB live, 171.5MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311284
02461070
112051017
08371988
Stop Event
iter limit
node limit
iter limit
Counts
70 → 237
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (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)))
(*.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(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(hole binary64 1/4))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (* i i) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (+ (* (* i i) 4) -1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (+ (* (* i i) 4) -1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
Outputs
(*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (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 (neg.f64 (*.f64 (*.f64 i i) (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #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 (neg.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (neg.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 i i) (neg.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))) (*.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) (*.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(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (*.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #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 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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 (fabs.f64 i) #s(literal -1 binary64)) (*.f64 (fabs.f64 i) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 i) #s(literal 1 binary64)) (*.f64 (fabs.f64 i) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 i)) (*.f64 #s(literal -1 binary64) (fabs.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 i)) (*.f64 #s(literal 1 binary64) (fabs.f64 i)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 i)) (*.f64 #s(literal -1 binary64) (neg.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (neg.f64 i) #s(literal -1 binary64)) (*.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (neg.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 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(*.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (*.f64 i i) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 i i)
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))))
i
(*.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64)) i)
(*.f64 i (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) (*.f64 (*.f64 i (pow.f64 i #s(literal -1 binary64))) (*.f64 i (pow.f64 i #s(literal -1 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 i (pow.f64 i #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 #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 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 i (pow.f64 i #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 i (pow.f64 i #s(literal -1 binary64))) (*.f64 i (pow.f64 i #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 i (pow.f64 i #s(literal -1 binary64)))))))
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(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.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)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) (*.f64 #s(literal 4 binary64) i)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(+.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 i i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.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)) (*.f64 i i)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (+ (* 2 i) 1) #s(literal 1 binary64))
#s(approx (+ (* 2 i) 1) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(literal -1/4 binary64))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (fma.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i #s(literal -1/4 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i) #s(literal 1/2 binary64)) i #s(literal -1/4 binary64)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))
#s(approx (+ (* 2 i) -1) #s(literal -1 binary64))
#s(approx (+ (* 2 i) -1) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (* (* i i) 1/4) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
#s(approx (+ (* (* i i) 4) -1) #s(literal -1 binary64))
#s(approx (+ (* (* i i) 4) -1) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(literal 1/16 binary64))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 #s(literal 1/2 binary64) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) i))) i))
#s(approx (+ (* 2 i) 1) (*.f64 #s(literal 2 binary64) i))
#s(approx (+ (* 2 i) 1) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal -1/8 binary64)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) (/.f64 #s(literal 1/16 binary64) i)) #s(literal -1/8 binary64)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/16 binary64) i))) i))
#s(approx (+ (* 2 i) -1) (*.f64 #s(literal 2 binary64) i))
#s(approx (+ (* 2 i) -1) (*.f64 (-.f64 #s(literal 2 binary64) (pow.f64 i #s(literal -1 binary64))) i))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(literal 1/16 binary64))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
#s(approx (+ (* (* i i) 4) -1) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
#s(approx (+ (* (* i i) 4) -1) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.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))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1 binary64) #s(literal -1/4 binary64)) (neg.f64 i)) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64)) i) #s(literal -1 binary64) #s(literal -1/8 binary64)) (neg.f64 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)) i) #s(literal -1 binary64) #s(literal -1/8 binary64)) (neg.f64 i)))
#s(approx (+ (* 2 i) -1) (*.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))))

eval60.0ms (2.3%)

Memory
-46.0MiB live, 69.5MiB allocated; 33ms collecting garbage
Compiler

Compiled 7 485 to 950 computations (87.3% saved)

prune6.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3071308
Fresh000
Picked022
Done123
Total3085313
Accuracy
100.0%
Counts
313 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
75.3%
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
48.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
52.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
48.1%
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
Compiler

Compiled 130 to 73 computations (43.8% saved)

series3.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
7 → 19
Calls
Call 1
Inputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(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))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx i #s(hole binary64 i))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
Calls

3 calls:

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

rewrite124.0ms (4.8%)

Memory
1.6MiB live, 92.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091512
097411
1433371
04079354
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 173
Calls
Call 1
Inputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(neg.f64 i)
i
#s(literal -1/4 binary64)
(*.f64 i i)
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx i #s(hole binary64 i))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (+ (* (neg i) i) -1/4) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (neg.f64 i)) (neg.f64 i))
(*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i)
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
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#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) (*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
#s(approx (+ (* (neg i) i) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* (neg i) i) -1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))
#s(approx (neg i) (neg.f64 i))
#s(approx i i)
#s(approx (* i i) (*.f64 i i))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(literal 1/16 binary64))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (-.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal -1/16 binary64)))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
#s(approx (* (+ (* (neg i) i) -1/4) (* i i)) (*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
#s(approx (+ (* (neg i) i) -1/4) (*.f64 (neg.f64 i) i))
#s(approx (+ (* (neg i) i) -1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))

eval17.0ms (0.7%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 910 to 588 computations (91.5% saved)

prune18.0ms (0.7%)

Memory
-35.9MiB live, 15.5MiB allocated; 8ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1751176
Fresh000
Picked011
Done134
Total1765181
Accuracy
100.0%
Counts
181 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
48.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
52.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
48.1%
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
48.1%
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
Compiler

Compiled 428 to 145 computations (66.1% saved)

regimes7.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
10 → 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 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.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 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 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(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64)) (fma.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)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
Outputs
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 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))
Calls

2 calls:

3.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
76.9%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)))
100.0%2i
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes2.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Counts
5 → 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 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.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 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
#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
98.6%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
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 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (*.f64 (fma.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 (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 (fma.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)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
98.6%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
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 i i) #s(literal -1/4 binary64)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#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
98.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
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
52.3%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)))
52.3%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch6.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
1542841.069347984
136519831.8527872
Samples
3.0ms48×0valid
Compiler

Compiled 145 to 80 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (48.8% of total)
ival-mult: 1.0ms (48.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (1.5%)

Memory
-24.0MiB live, 22.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
4.5045323391152886e-5
2.9989871832904234
Samples
31.0ms144×0valid
Compiler

Compiled 622 to 347 computations (44.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 25.0ms (90.3% of total)
ival-div: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.5045323391152886e-5
2.9989871832904234
Compiler

Compiled 586 to 338 computations (42.3% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.5045323391152886e-5
2.9989871832904234
Compiler

Compiled 550 to 266 computations (51.6% saved)

simplify51.0ms (2%)

Memory
9.1MiB live, 52.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046260
1106208
2546204
34103204
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 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)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 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 (fma.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)) #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 i i) #s(literal -1/4 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)) #s(literal 1/16 binary64))
Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 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)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 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 (fma.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)) #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 i i) #s(literal -1/4 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)) #s(literal 1/16 binary64))

derivations179.0ms (6.9%)

Memory
-7.8MiB live, 91.7MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 268 to 48 computations (82.1% saved)

preprocess41.0ms (1.6%)

Memory
-7.2MiB live, 35.3MiB allocated; 9ms collecting garbage
Remove

(abs i)

Compiler

Compiled 672 to 160 computations (76.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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