Octave 3.8, jcobi/4, as called

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB 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)

sample965.0ms (32.7%)

Memory
-4.6MiB live, 944.0MiB allocated; 347ms collecting garbage
Samples
587.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 428.0ms
ival-mult: 272.0ms (63.6% of total)
ival-div: 101.0ms (23.6% of total)
ival-sub: 41.0ms (9.6% of total)
exact: 9.0ms (2.1% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain180.0ms (6.1%)

Memory
-27.7MiB live, 217.2MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1930-2(1.5371485287312958e-79)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
590-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u630
(*.f64 (*.f64 i i) (*.f64 i i))underflow100
(*.f64 i i)underflow126
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow63
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o590
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow118
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow59
/.f64(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))o/o590
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow118
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow59
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow59
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow59
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow59
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n370
(*.f64 (*.f64 i i) (*.f64 i i))underflow100
(*.f64 i i)underflow126
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n320
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow118
Confusion
Predicted +Predicted -
+1912
-063
Precision
1.0
Recall
0.9896373056994818
Confusion?
Predicted +Predicted MaybePredicted -
+19102
-0063
Precision?
1.0
Recall?
0.9896373056994818
Freqs
test
numberfreq
065
1132
259
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (58.4% of total)
ival-div: 6.0ms (26.9% of total)
ival-sub: 3.0ms (13.5% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess171.0ms (5.8%)

Memory
30.5MiB live, 171.7MiB allocated; 22ms 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
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.3%)

Memory
8.6MiB live, 8.6MiB 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)
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
@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)

rewrite160.0ms (5.4%)

Memory
-3.9MiB live, 85.0MiB allocated; 12ms 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)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) i))
(*.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)) (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)))
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(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))

eval32.0ms (1.1%)

Memory
17.3MiB live, 61.0MiB allocated; 6ms collecting garbage
Compiler

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

prune17.0ms (0.6%)

Memory
-29.7MiB live, 24.3MiB allocated; 12ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3507357
Fresh000
Picked101
Done000
Total3517358
Accuracy
100.0%
Counts
358 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(/.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)))
77.6%
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
77.5%
(*.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))))
52.2%
#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)))
52.1%
#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)))
52.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 424 to 212 computations (50% saved)

series13.0ms (0.4%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Counts
33 → 87
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)
#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)))
(*.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))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i) i)
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #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 (/ 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 (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#s(approx (+ (* -4 (* i i)) -1) #s(hole binary64 -1))
#s(approx (+ (* -4 (* i i)) -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) (* 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 (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* -4 (pow i 3))))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* -4 (* i i)) -1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* -4 (* i i)) -1) #s(hole binary64 (* -1 (* (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
5.0ms
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)) (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* (* (+ (* -4 (* i i)) -1) i) i) (* (+ (* -4 (* i i)) -1) i) (+ (* -4 (* i i)) -1) -4)
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)) (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* (* (+ (* -4 (* i i)) -1) i) i) (* (+ (* -4 (* i i)) -1) i) (+ (* -4 (* i i)) -1) -4)
3.0ms
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)) (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* (* (+ (* -4 (* i i)) -1) i) i) (* (+ (* -4 (* i i)) -1) i) (+ (* -4 (* i i)) -1) -4)

rewrite253.0ms (8.6%)

Memory
-19.4MiB live, 217.3MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03102217
03481836
114751808
080361786
Stop Event
iter limit
node limit
iter limit
Counts
120 → 241
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)
#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)))
(*.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))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i) i)
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #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 (/ 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 (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#s(approx (+ (* -4 (* i i)) -1) #s(hole binary64 -1))
#s(approx (+ (* -4 (* i i)) -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) (* 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 (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* -4 (pow i 3))))
#s(approx (* (+ (* -4 (* i i)) -1) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* -4 (* i i)) -1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* -4 (* i i)) -1) #s(hole binary64 (* -1 (* (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 #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 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.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(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 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (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 (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 (fabs.f64 i) (fabs.f64 i))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal -2 binary64)))
(*.f64 (pow.f64 i #s(literal -2 binary64)) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (neg.f64 i) (neg.f64 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))
(+.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
i
(*.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64)) i)
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#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 (*.f64 i i) #s(literal -4 binary64)) #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) (-.f64 (*.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 (*.f64 i i) #s(literal -4 binary64)) #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 (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) (*.f64 (neg.f64 i) i))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) (*.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 i i)))
#s(approx (* (+ (* -4 (* i i)) -1) i) (neg.f64 i))
#s(approx (* (+ (* -4 (* i i)) -1) i) (*.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) i))
#s(approx (+ (* -4 (* i i)) -1) #s(literal -1 binary64))
#s(approx (+ (* -4 (* i i)) -1) (-.f64 (*.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 #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (/.f64 #s(literal 1/16 binary64) i)) 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 (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -4 binary64)))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4 binary64) (pow.f64 i #s(literal 4 binary64)))))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 i i))) #s(literal 4 binary64)) (pow.f64 i #s(literal 6 binary64))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 i i))))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 i i))) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64))))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(approx (* (* (+ (* -4 (* i i)) -1) i) i) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 i i))))
#s(approx (* (+ (* -4 (* i i)) -1) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64)))
#s(approx (* (+ (* -4 (* i i)) -1) i) (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i)))
#s(approx (+ (* -4 (* i i)) -1) (*.f64 (*.f64 i i) #s(literal -4 binary64)))
#s(approx (+ (* -4 (* i i)) -1) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
#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))))

eval79.0ms (2.7%)

Memory
-7.8MiB live, 79.4MiB allocated; 17ms collecting garbage
Compiler

Compiled 13 123 to 1 273 computations (90.3% saved)

prune16.0ms (0.6%)

Memory
39.0MiB live, 39.0MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3534357
Fresh112
Picked235
Done000
Total3568364
Accuracy
100.0%
Counts
364 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
76.9%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
76.9%
(/.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)))
52.1%
#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)))
52.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i))
52.1%
#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))
52.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 372 to 197 computations (47% saved)

series34.0ms (1.2%)

Memory
-34.7MiB live, 28.7MiB allocated; 5ms collecting garbage
Counts
35 → 125
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
i
(/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
(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)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i)
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i)
(*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i)
(fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal -4 binary64)
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 #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))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* -1/2 i)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- i 1/2))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))))
#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 #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* -2 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#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 (* (* (- (* (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) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- (* (neg i) i) 1/4) i) #s(hole binary64 (* i (- (* -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) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#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) #s(hole binary64 (pow i 2)))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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 (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 -1))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#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))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/8 i)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- 1/8 (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))))
#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 (/ i (+ (* 2 i) 1)) #s(hole binary64 1/2))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- 1/2 (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 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 (+ (* 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) i) #s(hole binary64 (* -1 (pow i 3))))
#s(approx (* (- (* (neg i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 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 (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* (pow i 5) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -4 (pow i 3))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -1 (* (pow i 2) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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) 1) (+ (* 2 i) -1)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- 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))) 1/4) #s(hole binary64 (* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))))
#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 (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow i 2))))))))
Calls

3 calls:

TimeVariablePointExpression
24.0ms
i
@0
((/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* i (/ i (+ (* 2 i) 1))) i (/ i (+ (* 2 i) 1)) (+ (* 2 i) 1) 2 1 1/4 (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (neg i) i) 1/4) i) i) (* (- (* (neg i) i) 1/4) i) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (* (* (+ (* (* i i) -4) -1) i) i) (* (+ (* (* i i) -4) -1) i) (+ (* (* i i) -4) -1) (* i i) -4 (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (/ (/ (* (* 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))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* i (/ i (+ (* 2 i) 1))) i (/ i (+ (* 2 i) 1)) (+ (* 2 i) 1) 2 1 1/4 (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (neg i) i) 1/4) i) i) (* (- (* (neg i) i) 1/4) i) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (* (* (+ (* (* i i) -4) -1) i) i) (* (+ (* (* i i) -4) -1) i) (+ (* (* i i) -4) -1) (* i i) -4 (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (/ (/ (* (* 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))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* i (/ i (+ (* 2 i) 1))) i (/ i (+ (* 2 i) 1)) (+ (* 2 i) 1) 2 1 1/4 (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (neg i) i) 1/4) i) i) (* (- (* (neg i) i) 1/4) i) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (* (* (+ (* (* i i) -4) -1) i) i) (* (+ (* (* i i) -4) -1) i) (+ (* (* i i) -4) -1) (* i i) -4 (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (/ (/ (* (* 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))

rewrite243.0ms (8.2%)

Memory
12.5MiB live, 244.0MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03953002
04402745
117192741
083972705
Stop Event
iter limit
node limit
iter limit
Counts
160 → 364
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
i
(/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
(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)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i)
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i)
(*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i)
(fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal -4 binary64)
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 #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))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* -1/2 i)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- i 1/2))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))))
#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 #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* -2 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#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 (* (* (- (* (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) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- (* (neg i) i) 1/4) i) #s(hole binary64 (* i (- (* -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) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#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) #s(hole binary64 (pow i 2)))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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 (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 -1))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#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))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/8 i)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- 1/8 (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))))
#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 (/ i (+ (* 2 i) 1)) #s(hole binary64 1/2))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- 1/2 (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 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 (+ (* 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) i) #s(hole binary64 (* -1 (pow i 3))))
#s(approx (* (- (* (neg i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 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 (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* (pow i 5) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -4 (pow i 3))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -1 (* (pow i 2) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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) 1) (+ (* 2 i) -1)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- 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))) 1/4) #s(hole binary64 (* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))))
#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 (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow 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 (*.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 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (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 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 i i) #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 (neg.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (*.f64 (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 (neg.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 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 i) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (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 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))
(*.f64 i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)
(*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 i) i) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
i
(/.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (neg.f64 i) (neg.f64 (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 (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) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i)))))
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(+.f64 i i)
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#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))) 1/4) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/32 binary64)) i)) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64))))
#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 (+ (* 2 i) 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (/ i (+ (* 2 i) 1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i)) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) i) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* 2 i) -1) (*.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))) (pow.f64 i #s(literal -2 binary64))) (pow.f64 i #s(literal 5 binary64)))))

eval108.0ms (3.7%)

Memory
-9.7MiB live, 76.6MiB allocated; 16ms collecting garbage
Compiler

Compiled 15 866 to 1 808 computations (88.6% saved)

prune14.0ms (0.5%)

Memory
38.4MiB live, 38.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4782480
Fresh000
Picked325
Done033
Total4817488
Accuracy
100.0%
Counts
488 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
76.9%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
50.2%
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
52.1%
#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)))
52.1%
#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))
52.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 194 to 103 computations (46.9% saved)

series21.0ms (0.7%)

Memory
-45.6MiB live, 11.4MiB allocated; 9ms collecting garbage
Counts
17 → 42
Calls
Call 1
Inputs
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
#s(literal 1/8 binary64)
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) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #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))
#s(literal 1/4 binary64)
(*.f64 i i)
(-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* -1/2 i)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- i 1/2))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))))
#s(approx (* 1/8 i) #s(hole binary64 (* 1/8 i)))
#s(approx i #s(hole binary64 i))
#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))) (- (* (* i i) 4) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* 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) (* 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 (* i i) #s(hole binary64 (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) 4) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/8 i)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- 1/8 (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 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) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* 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))) 1/4) #s(hole binary64 (* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
Calls

3 calls:

TimeVariablePointExpression
16.0ms
i
@0
((/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* 1/8 i) 1/8 i (+ (* 2 i) -1) 2 -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) (- (* (* i i) 4) 1) (* (* i i) 4) 4 1)
2.0ms
i
@-inf
((/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* 1/8 i) 1/8 i (+ (* 2 i) -1) 2 -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) (- (* (* i i) 4) 1) (* (* i i) 4) 4 1)
2.0ms
i
@inf
((/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* 1/8 i) 1/8 i (+ (* 2 i) -1) 2 -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) (- (* (* i i) 4) 1) (* (* i i) 4) 4 1)

rewrite274.0ms (9.3%)

Memory
15.5MiB live, 211.5MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01771096
0188989
1859960
07440900
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
59 → 222
Calls
Call 1
Inputs
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
#s(literal 1/8 binary64)
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) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #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))
#s(literal 1/4 binary64)
(*.f64 i i)
(-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* -1/2 i)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- i 1/2))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))))
#s(approx (* 1/8 i) #s(hole binary64 (* 1/8 i)))
#s(approx i #s(hole binary64 i))
#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))) (- (* (* i i) 4) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* 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) (* 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 (* i i) #s(hole binary64 (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) 4) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) #s(hole binary64 (* 1/8 i)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- 1/8 (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 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) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* 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))) 1/4) #s(hole binary64 (* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
Outputs
(*.f64 (/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (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) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)))) (neg.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
(*.f64 i #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
i
(*.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (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) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
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#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal 1/4 binary64)) i) i))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (*.f64 (fma.f64 (-.f64 i #s(literal 1/2 binary64)) i #s(literal 1/4 binary64)) i) i))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 i i) i) #s(literal 1/2 binary64)) i #s(literal 1/4 binary64)) i) i))
#s(approx (* 1/8 i) (*.f64 #s(literal 1/8 binary64) 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) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* i i) 4) 1)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (*.f64 (*.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)) i) 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 (* i i) (*.f64 i i))
#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) 4) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(literal 1/16 binary64))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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))) 1/4) (+ (* 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))) 1/4) (+ (* 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 (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i)) i))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (+.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 (+ (* 2 i) 1))) 1/4) (*.f64 (fma.f64 #s(literal 1/32 binary64) (pow.f64 i #s(literal -2 binary64)) (-.f64 #s(literal 1/8 binary64) (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))) (- (* (* i i) 4) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* i i) 4) 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))) (- (* (* i i) 4) 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 (- (* (* i i) 4) 1) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
#s(approx (- (* (* i i) 4) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) (neg.f64 i)) #s(literal 1/8 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/32 binary64)) i) #s(literal -1 binary64) #s(literal -1/16 binary64)) (neg.f64 i)) #s(literal 1/8 binary64))))
#s(approx (+ (* 2 i) -1) (*.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))))

eval40.0ms (1.4%)

Memory
-1.6MiB live, 41.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 7 602 to 801 computations (89.5% saved)

prune14.0ms (0.5%)

Memory
-11.3MiB live, 30.3MiB allocated; 8ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2473250
Fresh000
Picked112
Done145
Total2498257
Accuracy
100.0%
Counts
257 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
76.9%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
50.2%
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
4.2%
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) #s(approx (+ (* 2 i) -1) #s(literal -1 binary64)))
52.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
52.1%
#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))
52.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 691 to 220 computations (68.2% saved)

regimes11.0ms (0.4%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Counts
17 → 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))
#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 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) #s(approx (+ (* 2 i) -1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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 (*.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 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.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)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) 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 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #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)) (fma.f64 #s(literal 2 binary64) i #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 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 (*.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))))
(*.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))))
Outputs
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
i
4.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%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)))
100.0%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes11.0ms (0.4%)

Memory
-18.2MiB live, 24.8MiB allocated; 6ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) #s(approx (+ (* 2 i) -1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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 (*.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 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.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)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) 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 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #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)) (fma.f64 #s(literal 2 binary64) i #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)))
Outputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.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:

6.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
4.0ms
i
Results
AccuracySegmentsBranch
76.9%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)))
100.0%2i
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
7 → 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)))
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) #s(approx (+ (* 2 i) -1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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 (*.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 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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:

3.0ms
i
Results
AccuracySegmentsBranch
98.7%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
3 → 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)))
(/.f64 #s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 #s(literal 1/8 binary64) i)) #s(approx (+ (* 2 i) -1) #s(literal -1 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:

2.0ms
i
Results
AccuracySegmentsBranch
98.6%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB 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
48.3%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)))
48.3%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch6.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
833.6532032367677
1723204428.722376
Samples
3.0ms48×0valid
Compiler

Compiled 193 to 101 computations (47.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (50.1% of total)
ival-mult: 1.0ms (50.1% 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)

bsearch12.0ms (0.4%)

Memory
-48.9MiB live, 13.5MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.3920789279088955
0.6057651634037172
Samples
8.0ms64×0valid
Compiler

Compiled 268 to 142 computations (47% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (85.5% of total)
ival-div: 1.0ms (14.3% 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)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.3920789279088955
0.6057651634037172
Compiler

Compiled 260 to 126 computations (51.5% saved)

simplify47.0ms (1.6%)

Memory
30.3MiB live, 75.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043227
188213
2483171
34098171
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.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) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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
(/.f64 (*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.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) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))

derivations176.0ms (6%)

Memory
-11.4MiB live, 179.7MiB allocated; 14ms collecting garbage
Stop Event
fuel
Compiler

Compiled 227 to 46 computations (79.7% saved)

preprocess30.0ms (1%)

Memory
-19.1MiB live, 71.1MiB allocated; 8ms collecting garbage
Remove

(abs i)

Compiler

Compiled 622 to 158 computations (74.6% saved)

end0.0ms (0%)

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

Profiling

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