Octave 3.8, jcobi/4, as called

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze2.0ms (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)

sample1.2s (37%)

Memory
-73.0MiB live, 927.8MiB allocated; 1.0s collecting garbage
Samples
539.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 393.0ms
ival-mult!: 279.0ms (70.9% of total)
ival-div!: 73.0ms (18.6% of total)
ival-sub!: 40.0ms (10.2% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

preprocess101.0ms (3.1%)

Memory
-35.1MiB live, 70.2MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01958
113051
2101239
3658139
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(/.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)))
Symmetry

(abs i)

Compiler

Compiled 36 to 20 computations (44.4% saved)

series7.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
10 → 17
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 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
Calls

3 calls:

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

rewrite275.0ms (8.3%)

Memory
-2.8MiB live, 181.8MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080495
093406
1460380
22970336
Stop Event
iter-limit
unsound
node-limit
iter-limit
Counts
27 → 19
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 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
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 (*.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))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))))
#s(approx (* (* i i) (* i i)) (*.f64 (*.f64 i i) (*.f64 i i)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (* (* 2 i) (* 2 i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
#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) (-.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))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

eval1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 138 to 51 computations (63% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New729
Fresh000
Picked011
Done000
Total7310
Accuracy
67.7%
Counts
10 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(/.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)))
13.5%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 54 to 37 computations (31.5% saved)

series5.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
12 → 17
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(literal 1/16 binary64)
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #s(approx (- (* (* 2 i) (* 2 i)) 1) #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)
#s(approx (- (* (* 2 i) (* 2 i)) 1) #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 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
i
@-inf
((/ (/ (* (* 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) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) -1)
2.0ms
i
@inf
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* 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)
1.0ms
i
@0
((/ (/ (* (* 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) (* 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)

rewrite231.0ms (7%)

Memory
20.9MiB live, 166.5MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079527
089432
1464404
23058356
08148330
123282329
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 327
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(literal 1/16 binary64)
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #s(approx (- (* (* 2 i) (* 2 i)) 1) #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)
#s(approx (- (* (* 2 i) (* 2 i)) 1) #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 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
Outputs
#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)
(*.f64 (/.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 #s(literal -4 binary64) i) i)) (/.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
(*.f64 (/.f64 i (*.f64 (*.f64 #s(literal -4 binary64) i) i)) (/.f64 (*.f64 (*.f64 i i) i) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 i i) i) (/.f64 i (*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 i (/.f64 i (+.f64 i i))) (*.f64 (*.f64 i (/.f64 i (+.f64 i i))) (/.f64 #s(literal 1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))))
(*.f64 (*.f64 i (/.f64 i (+.f64 i i))) (/.f64 (*.f64 i (/.f64 i (+.f64 i i))) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
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(*.f64 i i)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 i))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 i))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 i)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 i)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 i) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 i))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 i))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 i)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 2 binary64))
(pow.f64 (*.f64 i #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) i) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 i)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal 1/2 binary64))
(pow.f64 i #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 i i))
(neg.f64 (*.f64 i i))
(sqrt.f64 (*.f64 (*.f64 (*.f64 i i) i) i))
(fabs.f64 (*.f64 (neg.f64 i) (fabs.f64 i)))
(fabs.f64 (*.f64 i (fabs.f64 i)))
(fabs.f64 (*.f64 i i))
i
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 i i)))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 i i)))))
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i))))
(*.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 i))) (fabs.f64 i))
(*.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) (fabs.f64 i))) (fabs.f64 i))
(*.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) (neg.f64 i))) (fabs.f64 i))
(*.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) i)) (fabs.f64 i))
(*.f64 (fabs.f64 (neg.f64 (*.f64 i #s(literal 4 binary64)))) (fabs.f64 i))
(*.f64 (*.f64 #s(literal -4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal -4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal -4 binary64) i) i)
(*.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(*.f64 (*.f64 (fabs.f64 i) #s(literal 4 binary64)) (fabs.f64 i))
(*.f64 (neg.f64 (*.f64 i #s(literal 4 binary64))) i)
(*.f64 (neg.f64 (fabs.f64 (+.f64 i i))) (neg.f64 (fabs.f64 (+.f64 i i))))
(*.f64 (neg.f64 (fabs.f64 (+.f64 i i))) (fabs.f64 (+.f64 i i)))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i)) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 i #s(literal 4 binary64)) (neg.f64 i))
(*.f64 (*.f64 i #s(literal 4 binary64)) i)
(*.f64 (*.f64 (+.f64 i i) i) #s(literal 2 binary64))
(*.f64 (fabs.f64 (+.f64 i i)) (neg.f64 (fabs.f64 (+.f64 i i))))
(*.f64 (fabs.f64 (+.f64 i i)) (fabs.f64 (+.f64 i i)))
(*.f64 (fabs.f64 (+.f64 i i)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (fabs.f64 (+.f64 i i)) (+.f64 i i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i i))
(*.f64 (fabs.f64 i) (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 4 binary64))))
(*.f64 (fabs.f64 i) (fabs.f64 (*.f64 (fabs.f64 i) #s(literal -4 binary64))))
(*.f64 (fabs.f64 i) (fabs.f64 (*.f64 (neg.f64 i) #s(literal -4 binary64))))
(*.f64 (fabs.f64 i) (fabs.f64 (*.f64 i #s(literal -4 binary64))))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal -4 binary64)))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal 4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal -4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal 4 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (+.f64 i i) i))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal -4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 (*.f64 i i) #s(literal -4 binary64))
(*.f64 (+.f64 i i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (+.f64 i i) (+.f64 i i))
(*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 (*.f64 (+.f64 i i) i))))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 i i) i)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 i i)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 i i) i))
(*.f64 i (*.f64 i #s(literal -4 binary64)))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 i))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 i))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 i)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 i)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (+.f64 i i))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 i i)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64))
(pow.f64 (+.f64 i i) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i))
(fma.f64 (*.f64 i i) #s(literal 2 binary64) (*.f64 (+.f64 i i) i))
(fma.f64 (+.f64 i i) i (*.f64 (+.f64 i i) i))
(fma.f64 i (+.f64 i i) (*.f64 (+.f64 i i) i))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)))
(fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i))
(+.f64 (fma.f64 i i (*.f64 #s(literal 2 binary64) (*.f64 i i))) (*.f64 i i))
(+.f64 (*.f64 (+.f64 i i) i) (*.f64 (+.f64 i i) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 i i) (*.f64 i i)) (-.f64 i i))
(/.f64 (fma.f64 (*.f64 i i) i (*.f64 (*.f64 i i) i)) (fma.f64 i i (-.f64 (*.f64 i i) (*.f64 i i))))
(fma.f64 #s(literal 1 binary64) i (*.f64 #s(literal 1 binary64) i))
(fma.f64 i #s(literal 1 binary64) (*.f64 i #s(literal 1 binary64)))
(-.f64 i (neg.f64 i))
(+.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1 binary64) i))
(+.f64 i i)
#s(literal 2 binary64)
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.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 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.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)) 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)) (*.f64 (*.f64 (*.f64 i i) i) i))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (* (* 2 i) (* 2 i)) (*.f64 (*.f64 #s(literal -4 binary64) i) i))
#s(approx (* 2 i) (+.f64 i 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)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (/.f64 #s(literal -1/256 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/256 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)) (-.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) (/.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i)))) #s(literal 1/16 binary64))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))) i) i))

eval77.0ms (2.3%)

Memory
-0.7MiB live, 44.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 572 to 1 099 computations (57.3% saved)

prune36.0ms (1.1%)

Memory
-25.4MiB live, 19.5MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3097316
Fresh000
Picked112
Done011
Total3109319
Accuracy
100.0%
Counts
319 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(/.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)))
13.5%
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))))
46.7%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
54.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (/.f64 #s(literal -1/256 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) #s(literal -1/16 binary64)))
46.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.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)) i) i))
46.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i) i))
24.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 335 to 264 computations (21.2% saved)

series13.0ms (0.4%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
29 → 49
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(/.f64 #s(literal -1/64 binary64) (*.f64 i i))
#s(literal -1/64 binary64)
(*.f64 i i)
i
#s(literal -1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 i i) i) i)
(*.f64 (*.f64 i i) i)
(*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i) i))
(*.f64 (*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i) i)
(*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i)
(fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) i)
#s(literal -4 binary64)
#s(literal -1/4 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 (- (/ -1/64 (* i i)) -1/16) #s(hole binary64 (/ -1/64 (pow i 2))))
#s(approx (- (/ -1/64 (* i i)) -1/16) #s(hole binary64 (/ (- (* 1/16 (pow i 2)) 1/64) (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#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 (* (* (* i i) i) i) #s(hole binary64 (pow i 4)))
#s(approx (* (* i i) i) #s(hole binary64 (pow i 3)))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 2) (- (* 16 (pow i 2)) 4))))
#s(approx (* i 4) #s(hole binary64 (* 4 i)))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1 i)))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* i (- (* 4 (pow i 2)) 1))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (+ (* (* -4 i) i) -1) #s(hole binary64 (- (* -4 (pow i 2)) 1)))
#s(approx (* -4 i) #s(hole binary64 (* -4 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 (- (/ -1/64 (* i i)) -1/16) #s(hole binary64 (- 1/16 (* 1/64 (/ 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 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* 16 (pow i 4))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 4) (- 16 (* 4 (/ 1 (pow i 2)))))))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* 4 (pow i 3))))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 3) (- 4 (/ 1 (pow i 2))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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) #s(hole binary64 (* -1 (* (pow i 2) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1 (* (pow i 3) (- (/ 1 (pow i 2)) 4)))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow i 2))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
i
@inf
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ -1/64 (* i i)) -1/16) (/ -1/64 (* i i)) -1/64 (* i i) i -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 1/4 (* i i)) 1/4 (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1) -1 (/ (* (* (* i i) i) i) (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1)))) (* (* (* i i) i) i) (* (* i i) i) (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (* i 4) 4 (* i (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (+ (* (* -4 i) i) -1) (* -4 i) -4 -1/4)
3.0ms
i
@-inf
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ -1/64 (* i i)) -1/16) (/ -1/64 (* i i)) -1/64 (* i i) i -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 1/4 (* i i)) 1/4 (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1) -1 (/ (* (* (* i i) i) i) (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1)))) (* (* (* i i) i) i) (* (* i i) i) (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (* i 4) 4 (* i (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (+ (* (* -4 i) i) -1) (* -4 i) -4 -1/4)
3.0ms
i
@0
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ -1/64 (* i i)) -1/16) (/ -1/64 (* i i)) -1/64 (* i i) i -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 1/4 (* i i)) 1/4 (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1) -1 (/ (* (* (* i i) i) i) (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1)))) (* (* (* i i) i) i) (* (* i i) i) (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (* i 4) 4 (* i (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (+ (* (* -4 i) i) -1) (* -4 i) -4 -1/4)

rewrite228.0ms (6.9%)

Memory
27.1MiB live, 211.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951399
02221228
110011129
260221129
080391049
1209231049
Stop Event
iter-limit
node-limit
iter-limit
Counts
78 → 675
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(/.f64 #s(literal -1/64 binary64) (*.f64 i i))
#s(literal -1/64 binary64)
(*.f64 i i)
i
#s(literal -1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 i i) i) i)
(*.f64 (*.f64 i i) i)
(*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i) i))
(*.f64 (*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i) i)
(*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64)) i)
(fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) i)
#s(literal -4 binary64)
#s(literal -1/4 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 (- (/ -1/64 (* i i)) -1/16) #s(hole binary64 (/ -1/64 (pow i 2))))
#s(approx (- (/ -1/64 (* i i)) -1/16) #s(hole binary64 (/ (- (* 1/16 (pow i 2)) 1/64) (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#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 (* (* (* i i) i) i) #s(hole binary64 (pow i 4)))
#s(approx (* (* i i) i) #s(hole binary64 (pow i 3)))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 2) (- (* 16 (pow i 2)) 4))))
#s(approx (* i 4) #s(hole binary64 (* 4 i)))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1 i)))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* i (- (* 4 (pow i 2)) 1))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (+ (* (* -4 i) i) -1) #s(hole binary64 (- (* -4 (pow i 2)) 1)))
#s(approx (* -4 i) #s(hole binary64 (* -4 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 (- (/ -1/64 (* i i)) -1/16) #s(hole binary64 (- 1/16 (* 1/64 (/ 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 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* 16 (pow i 4))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 4) (- 16 (* 4 (/ 1 (pow i 2)))))))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* 4 (pow i 3))))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 3) (- 4 (/ 1 (pow i 2))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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) #s(hole binary64 (* -1 (* (pow i 2) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1 (* (pow i 3) (- (/ 1 (pow i 2)) 4)))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow i 2))))))))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 i) i))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 i i))
(/.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) #s(literal -1 binary64)) (*.f64 i i))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) (neg.f64 i)) (neg.f64 i))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) i) i)
(/.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 #s(literal -1/262144 binary64) (pow.f64 i #s(literal -6 binary64)))) (+.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) #s(literal 1/256 binary64)) (+.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 i i)) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal 1/64 binary64))) (*.f64 (*.f64 i i) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i)))) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64))) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))))
(/.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 i #s(literal -6 binary64)) #s(literal 1/4096 binary64)) (+.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))))
(/.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 i #s(literal -6 binary64)) #s(literal 1/4096 binary64)) (+.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (-.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) (*.f64 (neg.f64 i) i))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal -1/64 binary64)) (*.f64 (neg.f64 i) i)))
(neg.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) (*.f64 i i)))
(neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(fma.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1/64 binary64))
(*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 #s(literal -1/64 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (neg.f64 (/.f64 #s(literal -1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) i)
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(fma.f64 (+.f64 i i) (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(fma.f64 (+.f64 i i) (*.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 i i) i)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (neg.f64 i) i)))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 i i) i)) (*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 i i) i)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal -4 binary64) i) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (neg.f64 i) i)))
(fma.f64 i (*.f64 #s(literal -4 binary64) i) (*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(fma.f64 i (*.f64 #s(literal -4 binary64) i) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) i)) i))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 i) i) #s(literal -4 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) (*.f64 #s(literal -4 binary64) i)))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (neg.f64 i) i)) (*.f64 (*.f64 #s(literal -4 binary64) i) i))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i)) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 (*.f64 #s(literal -4 binary64) i) i))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (neg.f64 i) i)))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) (*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) i) i))
(*.f64 #s(literal -4 binary64) i)
(*.f64 i #s(literal -4 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) i))
#s(literal -4 binary64)
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (neg.f64 (fma.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 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.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)) i) i))
#s(approx (- (/ -1/64 (* i i)) -1/16) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
#s(approx (- (/ -1/64 (* i i)) -1/16) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (* 1/4 (* i i)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (* (* (* i i) i) i) (*.f64 (*.f64 i i) (*.f64 i i)))
#s(approx (* (* i i) i) (*.f64 (*.f64 i i) i))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (*.f64 #s(literal -4 binary64) i) i))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) i) i))
#s(approx (* i 4) (*.f64 #s(literal 4 binary64) i))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 i))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 #s(literal -1/4 binary64) i))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) i))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (+ (* (* -4 i) i) -1) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))
#s(approx (* -4 i) (*.f64 #s(literal -4 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)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (-.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i i)))) #s(literal 1/16 binary64))))
#s(approx (- (/ -1/64 (* i i)) -1/16) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 #s(literal 4 binary64) i) i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i)))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i))))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i i)))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) (*.f64 i i)))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (*.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i i)) #s(literal -4 binary64)))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i i))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i i))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -4 binary64)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (-.f64 (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -4 binary64)) (*.f64 (*.f64 i i) i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (pow.f64 i #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) i) i))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) i) i))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 (*.f64 i i) (*.f64 i i))))
#s(approx (+ (* (* -4 i) i) -1) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))
#s(approx (* i (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) (*.f64 i i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (pow.f64 i #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64))))

eval150.0ms (4.5%)

Memory
-20.8MiB live, 130.4MiB allocated; 59ms collecting garbage
Compiler

Compiled 5 559 to 2 172 computations (60.9% saved)

prune16.0ms (0.5%)

Memory
-7.2MiB live, 37.9MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New6225627
Fresh202
Picked505
Done112
Total6306636
Accuracy
100.0%
Counts
636 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.5%
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i)))))
69.5%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
54.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
46.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i) i))
46.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 261 to 212 computations (18.8% saved)

series11.0ms (0.3%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Counts
35 → 50
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
i
#s(literal 1/4 binary64)
#s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) 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 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
(*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i)
(*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i)
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #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 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
#s(literal -1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i) i))
(*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i) i)
(*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i)
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))))
(neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i)))))
(*.f64 (*.f64 (*.f64 i i) i) i)
(*.f64 (*.f64 i i) i)
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i)))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) (*.f64 i i))
Outputs
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 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) 1/4) (- (* (* 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 (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 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 (* 4 i) #s(hole binary64 (* 4 i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ 1/64 (pow i 2))))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))))
#s(approx (+ (* i i) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* i i) 1/4) #s(hole binary64 (+ 1/4 (pow i 2))))
#s(approx (* (* (* i i) i) i) #s(hole binary64 (pow i 4)))
#s(approx (* (* i i) i) #s(hole binary64 (pow i 3)))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 2) (- (* 16 (pow i 2)) 4))))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 (/ -4 (pow i 2))))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 (/ (- (* 16 (pow i 2)) 4) (pow i 2))))
#s(approx (/ 4 (* i i)) #s(hole binary64 (/ 4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 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) 1/4) (- (* (* 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))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#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) 1/4) #s(hole binary64 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* 16 (pow i 4))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 4) (- 16 (* 4 (/ 1 (pow i 2)))))))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 16))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 (- 16 (* 4 (/ 1 (pow i 2))))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow i 2))))))))
Calls

3 calls:

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

rewrite248.0ms (7.5%)

Memory
-4.6MiB live, 190.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021484
02321340
110831240
262651240
082371180
1217281180
Stop Event
iter-limit
node-limit
iter-limit
Counts
85 → 551
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
i
#s(literal 1/4 binary64)
#s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) 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 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
(*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i)
(*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i)
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #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 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
#s(literal -1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i) i))
(*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i) i)
(*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i)
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))))
(neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i)))))
(*.f64 (*.f64 (*.f64 i i) i) i)
(*.f64 (*.f64 i i) i)
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i)))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) (*.f64 i i))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 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) 1/4) (- (* (* 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 (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 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 (* 4 i) #s(hole binary64 (* 4 i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ 1/64 (pow i 2))))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))))
#s(approx (+ (* i i) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* i i) 1/4) #s(hole binary64 (+ 1/4 (pow i 2))))
#s(approx (* (* (* i i) i) i) #s(hole binary64 (pow i 4)))
#s(approx (* (* i i) i) #s(hole binary64 (pow i 3)))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 2) (- (* 16 (pow i 2)) 4))))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 (/ -4 (pow i 2))))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 (/ (- (* 16 (pow i 2)) 4) (pow i 2))))
#s(approx (/ 4 (* i i)) #s(hole binary64 (/ 4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (- (* (* 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) 1/4) (- (* (* 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))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -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 i) i) -1)) -1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#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) 1/4) #s(hole binary64 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* 16 (pow i 4))))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) #s(hole binary64 (* (pow i 4) (- 16 (* 4 (/ 1 (pow i 2)))))))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 16))
#s(approx (- 16 (/ 4 (* i i))) #s(hole binary64 (- 16 (* 4 (/ 1 (pow i 2))))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow i 2))))))))
Outputs
(*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) (*.f64 i i))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (/.f64 #s(literal 1/4 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) (/.f64 #s(literal 1/4 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (/.f64 #s(literal 1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 i (*.f64 i (/.f64 #s(literal 1/4 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(*.f64 i (*.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(*.f64 i (/.f64 (*.f64 #s(literal 1/4 binary64) i) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (neg.f64 (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 i)) (*.f64 #s(literal -1 binary64) (fabs.f64 i)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 i)) (*.f64 #s(literal -1 binary64) (neg.f64 i)))
(*.f64 (*.f64 #s(literal -1 binary64) i) (*.f64 #s(literal -1 binary64) i))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 i)) (*.f64 #s(literal 1 binary64) (fabs.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 #s(literal 1 binary64) i) i)
(*.f64 (*.f64 (fabs.f64 i) #s(literal -1 binary64)) (*.f64 (fabs.f64 i) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 i) #s(literal 1 binary64)) (*.f64 (fabs.f64 i) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 i) #s(literal -1 binary64)) (*.f64 (neg.f64 i) #s(literal -1 binary64)))
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(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 #s(literal 4 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 i) i) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(*.f64 (*.f64 (*.f64 i i) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 (*.f64 (neg.f64 i) (fabs.f64 i)) (*.f64 (neg.f64 i) (fabs.f64 i)))
(*.f64 (*.f64 i (fabs.f64 i)) (*.f64 i (fabs.f64 i)))
(*.f64 (*.f64 (fabs.f64 i) (neg.f64 i)) (*.f64 (fabs.f64 i) (neg.f64 i)))
(*.f64 (*.f64 (fabs.f64 i) i) (*.f64 (fabs.f64 i) i))
(*.f64 (*.f64 (neg.f64 i) (*.f64 (*.f64 i i) i)) #s(literal -1 binary64))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (*.f64 i i)))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) (*.f64 i i)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i))
(*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 i i) i) i)
(*.f64 (*.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) (*.f64 (*.f64 i i) i)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 i i) i) i))
(*.f64 i (*.f64 (*.f64 i i) i))
(pow.f64 (*.f64 (neg.f64 i) (fabs.f64 i)) #s(literal 2 binary64))
(pow.f64 (*.f64 i (fabs.f64 i)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 i) (neg.f64 i)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 i) i) #s(literal 2 binary64))
(pow.f64 (fabs.f64 i) #s(literal 4 binary64))
(pow.f64 (neg.f64 i) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i) #s(literal 1 binary64)) (*.f64 i i))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i)) (*.f64 i i))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)))
(neg.f64 (*.f64 (neg.f64 i) (*.f64 (*.f64 i i) i)))
(fabs.f64 (*.f64 (*.f64 (*.f64 i i) i) i))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) i) i #s(literal -1/4 binary64)) i) i))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.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)) i) i))
#s(approx (* (* i i) 1/4) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (* i i) (*.f64 i i))
#s(approx i 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 (* 4 i) (*.f64 #s(literal 4 binary64) i))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 #s(literal -1/4 binary64) i))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) i) i #s(literal -1/4 binary64)) i))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) i) i #s(literal -1/4 binary64)))
#s(approx (- (/ 1/64 (* i i)) -1/16) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(approx (- (/ 1/64 (* i i)) -1/16) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) (*.f64 i i)))
#s(approx (+ (* i i) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* i i) 1/4) (fma.f64 i i #s(literal 1/4 binary64)))
#s(approx (* (* (* i i) i) i) (*.f64 (*.f64 (*.f64 i i) i) i))
#s(approx (* (* i i) i) (*.f64 (*.f64 i i) i))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (*.f64 #s(literal -4 binary64) i) i))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) i) i))
#s(approx (- 16 (/ 4 (* i i))) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
#s(approx (- 16 (/ 4 (* i i))) (/.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (*.f64 i i)))
#s(approx (/ 4 (* i i)) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) #s(literal -1/16 binary64)))
#s(approx (/ (* (* i i) 1/4) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)) (-.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i))) #s(literal 1/16 binary64))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 #s(literal 4 binary64) i) i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i) #s(literal -4 binary64)))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i)))
#s(approx (* (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) i) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) i) i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -4 binary64)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (-.f64 (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -4 binary64)) (*.f64 (*.f64 i i) i)))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (pow.f64 i #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64))))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal -4 binary64)))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) i) i))
#s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 i i) i) i)))
#s(approx (neg (+ (* i i) 1/4)) (*.f64 (neg.f64 i) i))
#s(approx (neg (+ (* i i) 1/4)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (+ (* i i) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1 binary64)) i) i))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(literal 16 binary64)))
#s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) i)) i))
#s(approx (- 16 (/ 4 (* i i))) #s(literal 16 binary64))
#s(approx (- 16 (/ 4 (* i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
#s(approx (* (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) i) (*.f64 (pow.f64 i #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) #s(literal 4 binary64))))

eval152.0ms (4.6%)

Memory
0.9MiB live, 92.8MiB allocated; 21ms collecting garbage
Compiler

Compiled 6 074 to 2 394 computations (60.6% saved)

prune17.0ms (0.5%)

Memory
-7.5MiB live, 34.9MiB allocated; 11ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5712573
Fresh000
Picked325
Done011
Total5745579
Accuracy
100.0%
Counts
579 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(*.f64 i (/.f64 (*.f64 #s(literal 1/4 binary64) i) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
54.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
46.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
46.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 360 to 197 computations (45.3% saved)

regimes10.0ms (0.3%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
17 → 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 #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 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i) i))
(*.f64 i (/.f64 (*.f64 #s(literal 1/4 binary64) i) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) (*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)) #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 #s(literal -1/256 binary64) (*.f64 (*.f64 (*.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) #s(literal -1/16 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.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)) i) i))
(/.f64 (*.f64 (*.f64 (*.f64 i i) i) i) #s(approx (* (* i 4) (* i (- (* (* 2 i) (* 2 i)) 1))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 i i)))))
(/.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 i (/.f64 (*.f64 #s(literal 1/4 binary64) i) #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))
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
79.6%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
100.0%2i
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes8.0ms (0.2%)

Memory
-35.8MiB live, 7.0MiB allocated; 10ms collecting garbage
Counts
8 → 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 #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 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
Calls

1 calls:

3.0ms
i
Results
AccuracySegmentsBranch
99.7%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #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 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(approx (- (* (* 2 i) (* 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 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.7%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #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 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (+ (* (* i i) (+ (* (* -4 i) i) -1)) -1/4) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #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

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
54.6%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
75.6%2i
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes1.0ms (0%)

Memory
3.1MiB live, 3.1MiB 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

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
54.6%1i
Compiler

Compiled 1 to 1 computations (0% saved)

bsearch3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
1301.3397289412824
9973086383.658657
Samples
1.0ms32×0valid
Compiler

Compiled 94 to 72 computations (23.4% saved)

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

bsearch16.0ms (0.5%)

Memory
-23.5MiB live, 19.9MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.03974652072270207
1301.3397289412824
Samples
9.0ms128×0valid
Compiler

Compiled 444 to 358 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 6.0ms (83.9% of total)
ival-div!: 1.0ms (14% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.03974652072270207
1301.3397289412824
Compiler

Compiled 428 to 342 computations (20.1% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.03974652072270207
1301.3397289412824
Compiler

Compiled 396 to 310 computations (21.7% saved)

bsearch9.0ms (0.3%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.03974652072270207
1301.3397289412824
Samples
4.0ms96×0valid
Compiler

Compiled 316 to 238 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (43.4% of total)
ival-div!: 1.0ms (43.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations414.0ms (12.5%)

Memory
-28.7MiB live, 417.4MiB allocated; 65ms collecting garbage
Stop Event
fuel
Compiler

Compiled 116 to 58 computations (50% saved)

preprocess39.0ms (1.2%)

Memory
40.1MiB live, 86.0MiB allocated; 4ms collecting garbage
Remove

(abs i)

Compiler

Compiled 602 to 364 computations (39.5% saved)

end0.0ms (0%)

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

Profiling

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