2atan (example 3.5)

Time bar (total: 4.1s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (35.5%)

Memory
-2.3MiB live, 1 680.7MiB allocated; 372ms collecting garbage
Samples
909.0ms7 272×1valid
172.0ms817×2valid
7.0ms167×0valid
Precisions
Click to see histograms. Total time spent on operations: 861.0ms
ival-atan: 431.0ms (50% of total)
adjust: 324.0ms (37.6% of total)
ival-add!: 67.0ms (7.8% of total)
ival-sub!: 40.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain118.0ms (2.9%)

Memory
-31.0MiB live, 162.5MiB allocated; 27ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-N
00-0-(+.f64 N #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))cancellation2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms468×1valid
10.0ms30×2valid
1.0ms14×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-atan: 34.0ms (65.7% of total)
adjust: 13.0ms (25.1% of total)
ival-add!: 3.0ms (5.8% of total)
ival-sub!: 2.0ms (3.9% of total)

preprocess73.0ms (1.8%)

Memory
-2.3MiB live, 43.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.5%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
6 → 10
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
1.0ms
N
@inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms
N
@0
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))

rewrite58.0ms (1.4%)

Memory
22.7MiB live, 68.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031106
03698
114598
092198
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
16 → 49
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))) (neg.f64 (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))) (neg.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) N) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) N (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) N (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 N N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))
(-.f64 N (*.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) N (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) N (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (+ N 1) N)
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (+ N 1)) (atan N)) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

eval5.0ms (0.1%)

Memory
11.8MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 992 to 185 computations (81.4% saved)

prune55.0ms (1.3%)

Memory
-22.0MiB live, 79.6MiB allocated; 12ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New47148
Fresh000
Picked101
Done000
Total48149
Accuracy
19.8%
Counts
49 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

series2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
7 → 15
Calls
Call 1
Inputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) N -1 (+ (* (- N -1) N) 1) 1)
1.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) N -1 (+ (* (- N -1) N) 1) 1)
0.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) N -1 (+ (* (- N -1) N) 1) 1)

rewrite75.0ms (1.8%)

Memory
-13.7MiB live, 79.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049215
056207
1246179
02417176
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 113
Calls
Call 1
Inputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 (-.f64 N #s(literal -1 binary64)) N))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N) (-.f64 (-.f64 N #s(literal -1 binary64)) N)) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N)) (/.f64 (*.f64 N N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N N)))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))
(*.f64 N (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 N N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))
(-.f64 N (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) N))
(-.f64 N (*.f64 (*.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (*.f64 #s(literal -1 binary64) N) (fma.f64 (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 N N) #s(literal 3 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N (*.f64 N N))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 N N) N (pow.f64 (*.f64 N N) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N (*.f64 N N))))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) N)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 N N) N (pow.f64 (*.f64 N N) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N) #s(literal -1 binary64)) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) N)) (fabs.f64 (*.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 #s(literal -1 binary64) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N (*.f64 N N))
(fma.f64 (*.f64 N N) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N) (*.f64 N N))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 N N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) N) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 N N (-.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) N) N))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 N (fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) N) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval18.0ms (0.4%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 369 to 467 computations (86.1% saved)

prune47.0ms (1.2%)

Memory
-18.3MiB live, 29.1MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1454149
Fresh000
Picked101
Done000
Total1464150
Accuracy
99.6%
Counts
150 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N (*.f64 N N)))
18.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Compiler

Compiled 88 to 46 computations (47.7% saved)

series12.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
26 → 97
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N (*.f64 N N)))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N (*.f64 N N))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 N #s(literal -1 binary64))
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) #s(hole binary64 (atan2 1 (/ (- 1 (* -1 (* (pow N 3) (pow (+ 1 N) 3)))) (+ 1 (+ (* -1 (* N (+ 1 N))) (* (pow N 2) (pow (+ 1 N) 2))))))))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* -1 (pow N 3))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 3) (- (* -3 N) 1))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 3) (- (* N (- (* -3 N) 3)) 1))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 3) (- (* N (- (* N (- (* -1 N) 3)) 3)) 1))))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* -1 N)))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* N (- (* -1 N) 1))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* -1 N)))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* N (- (* 2 (pow N 2)) 1))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* N (- (* (pow N 2) (+ 2 N)) 1))))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (pow N 2)))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* -1 N)))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* N (- (* -1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ (* N (+ 1 (/ 1 N))) (pow N 2)))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 1))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 (/ 1 N)))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (pow N 6)))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* -1 (pow N 6))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* -1 (* (pow N 6) (+ 1 (* 3 (/ 1 N)))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 6) (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 6) (- (* -1 (/ (+ 3 (/ 1 N)) (pow N 2))) (+ 1 (* 3 (/ 1 N)))))))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (pow N 4)))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (pow N 3)))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) #s(hole binary64 (atan2 1 (/ (- 1 (* -1 (* (pow N 3) (pow (- 1 (* -1 N)) 3)))) (- (+ 1 (+ (* -1 N) (* (pow N 2) (pow (- 1 (* -1 N)) 2)))) (pow N 2))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 6) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 N)) (/ 1 (pow N 2)))) N)) 1))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) (- 1 (pow (* -1 (* (- N -1) N)) 3)) (pow (* -1 (* (- N -1) N)) 3) (* -1 (* (- N -1) N)) (* (- N -1) N) 3 (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) (* (* (- N -1) N) N) (* 1 (* -1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) (+ (* (pow N -1) 1) 1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1))
3.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) (- 1 (pow (* -1 (* (- N -1) N)) 3)) (pow (* -1 (* (- N -1) N)) 3) (* -1 (* (- N -1) N)) (* (- N -1) N) 3 (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) (* (* (- N -1) N) N) (* 1 (* -1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) (+ (* (pow N -1) 1) 1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1))
3.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) (- 1 (pow (* -1 (* (- N -1) N)) 3)) (pow (* -1 (* (- N -1) N)) 3) (* -1 (* (- N -1) N)) (* (- N -1) N) 3 (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) (* (* (- N -1) N) N) (* 1 (* -1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) (+ (* (pow N -1) 1) 1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1))

rewrite189.0ms (4.6%)

Memory
-4.4MiB live, 275.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03032504
03522238
115942108
083252035
Stop Event
iter-limit
node-limit
iter-limit
Counts
123 → 332
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N (*.f64 N N)))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N (*.f64 N N))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 N #s(literal -1 binary64))
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) #s(hole binary64 (atan2 1 (/ (- 1 (* -1 (* (pow N 3) (pow (+ 1 N) 3)))) (+ 1 (+ (* -1 (* N (+ 1 N))) (* (pow N 2) (pow (+ 1 N) 2))))))))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* -1 (pow N 3))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 3) (- (* -3 N) 1))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 3) (- (* N (- (* -3 N) 3)) 1))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 3) (- (* N (- (* N (- (* -1 N) 3)) 3)) 1))))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* -1 N)))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* N (- (* -1 N) 1))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* -1 N)))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* N (- (* 2 (pow N 2)) 1))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* N (- (* (pow N 2) (+ 2 N)) 1))))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (pow N 2)))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* -1 N)))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* N (- (* -1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ (* N (+ 1 (/ 1 N))) (pow N 2)))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 1))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 (/ 1 N)))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (pow N 6)))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* -1 (pow N 6))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* -1 (* (pow N 6) (+ 1 (* 3 (/ 1 N)))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 6) (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 6) (- (* -1 (/ (+ 3 (/ 1 N)) (pow N 2))) (+ 1 (* 3 (/ 1 N)))))))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (* -1 (* (- N -1) N)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (pow N 4)))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (pow N 3)))
#s(approx (* (* (- N -1) N) N) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (* 1 (* -1 (* (- N -1) N))) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) N) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (pow N -1) 1) 1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) #s(hole binary64 (atan2 1 (/ (- 1 (* -1 (* (pow N 3) (pow (- 1 (* -1 N)) 3)))) (- (+ 1 (+ (* -1 N) (* (pow N 2) (pow (- 1 (* -1 N)) 2)))) (pow N 2))))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) #s(hole binary64 (* (pow N 6) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 N)) (/ 1 (pow N 2)))) N)) 1))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
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#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) (*.f64 (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)) N))
#s(approx (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (pow (* -1 (* (- N -1) N)) 3)) (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) N (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)) N) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 N N)))))
#s(approx (- 1 (pow (* -1 (* (- N -1) N)) 3)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 3 binary64)) N) #s(literal -1 binary64)) #s(literal 3 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 N N) #s(literal 3 binary64))))
#s(approx (pow (* -1 (* (- N -1) N)) 3) (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 N N) #s(literal 3 binary64))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 N N) #s(literal 2 binary64))))
#s(approx (+ 1 (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N))))) (*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 2 binary64)) N) (/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 2 binary64)) N)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 N N) #s(literal 2 binary64))))
#s(approx (+ (* (* (* (- N -1) N) N) (- N -1)) (* 1 (* -1 (* (- N -1) N)))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 N N) #s(literal 2 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))

eval80.0ms (2%)

Memory
14.5MiB live, 157.9MiB allocated; 23ms collecting garbage
Compiler

Compiled 21 115 to 1 956 computations (90.7% saved)

prune298.0ms (7.3%)

Memory
-18.4MiB live, 400.7MiB allocated; 42ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5725577
Fresh000
Picked224
Done000
Total5747581
Accuracy
99.8%
Counts
581 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
18.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))))
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
82.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
54.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
99.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))))
Compiler

Compiled 363 to 210 computations (42.1% saved)

series17.0ms (0.4%)

Memory
32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Counts
40 → 162
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
N
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N)))
(-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))
(fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
#s(literal -1/2 binary64)
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ (* N (+ 1 (/ 1 N))) (pow N 2)))))
#s(approx (atan2 1 (+ (* N N) (+ (* 1 N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* 1 N) 1) #s(hole binary64 1))
#s(approx (+ (* 1 N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 1))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (* -1 N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 1))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 1))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 1))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* -1 N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* N (- (* 2 (pow N 2)) 1))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* N (- (* (pow N 2) (+ 2 N)) 1))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* -1 N)))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* N (- (* -1 N) 1))))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 N))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) #s(hole binary64 (atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (* N (+ 1 N)) 1)))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* 2 N))) 1)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 -1))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (- N 1)))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 1))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ (* -1 N) 1) #s(hole binary64 1))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* 1 N) 1) #s(hole binary64 N))
#s(approx (+ (* 1 N) 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (pow N 2)))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (pow N 6)))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (pow N 4)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 (pow N 2)))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) #s(hole binary64 (atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (+ N (pow N 2)) 1)))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (pow N 4)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (* -1 N)))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 1 (+ (* N N) (+ (* 1 N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) #s(hole binary64 (atan2 1 (- 1 (+ (* -1 N) (pow N 2))))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ -1 N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) #s(hole binary64 (atan2 1 (/ (- (* (pow N 2) (pow (- 1 (* -1 N)) 2)) 1) (- (* N (- 1 (* -1 N))) 1)))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2 1 (+ (* N N) (+ (* 1 N) 1))) 1 (+ (* N N) (+ (* 1 N) 1)) N (+ (* 1 N) 1) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (pow (* N N) -1/2) (* N N) -1/2 (pow N 3) 3 (* -1 N) -1 (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) (+ 1 (pow (* (- N -1) N) 3)) (pow (* (- N -1) N) 3) (* (- N -1) N) (- N -1) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) (pow (* (* (- N -1) N) -1) 2) (* (* (- N -1) N) -1) 2 (* 1 (* (- N -1) N)) (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1))
4.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2 1 (+ (* N N) (+ (* 1 N) 1))) 1 (+ (* N N) (+ (* 1 N) 1)) N (+ (* 1 N) 1) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (pow (* N N) -1/2) (* N N) -1/2 (pow N 3) 3 (* -1 N) -1 (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) (+ 1 (pow (* (- N -1) N) 3)) (pow (* (- N -1) N) 3) (* (- N -1) N) (- N -1) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) (pow (* (* (- N -1) N) -1) 2) (* (* (- N -1) N) -1) 2 (* 1 (* (- N -1) N)) (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1))
4.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2 1 (+ (* N N) (+ (* 1 N) 1))) 1 (+ (* N N) (+ (* 1 N) 1)) N (+ (* 1 N) 1) (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (pow (* N N) -1/2) (* N N) -1/2 (pow N 3) 3 (* -1 N) -1 (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) (+ 1 (pow (* (- N -1) N) 3)) (pow (* (- N -1) N) 3) (* (- N -1) N) (- N -1) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) (pow (* (* (- N -1) N) -1) 2) (* (* (- N -1) N) -1) 2 (* 1 (* (- N -1) N)) (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1))

rewrite206.0ms (5.1%)

Memory
4.7MiB live, 287.7MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04493982
05143542
123432720
098282672
Stop Event
iter-limit
node-limit
iter-limit
Counts
202 → 751
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
N
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N)))
(-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))
(fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
#s(literal -1/2 binary64)
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ (* N (+ 1 (/ 1 N))) (pow N 2)))))
#s(approx (atan2 1 (+ (* N N) (+ (* 1 N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* 1 N) 1) #s(hole binary64 1))
#s(approx (+ (* 1 N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 1))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (* -1 N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 1))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 1))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 1))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* -1 N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* N (- (* 2 (pow N 2)) 1))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* N (- (* (pow N 2) (+ 2 N)) 1))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* -1 N)))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* N (- (* -1 N) 1))))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 N))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) #s(hole binary64 (atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (* N (+ 1 N)) 1)))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* 2 N))) 1)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 -1))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (- N 1)))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 1))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ (* -1 N) 1) #s(hole binary64 1))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (* 1 N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* 1 N) 1) #s(hole binary64 N))
#s(approx (+ (* 1 N) 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (pow N 2)))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (pow N 6)))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (pow N 4)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (* (- N -1) N) -1) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (* (* (- N -1) N) -1) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 (pow N 2)))
#s(approx (* 1 (* (- N -1) N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) #s(hole binary64 (atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (+ N (pow N 2)) 1)))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (pow N 4)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (* -1 N)))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 1 (+ (* N N) (+ (* 1 N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N))) #s(hole binary64 (atan2 1 (- 1 (+ (* -1 N) (pow N 2))))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (* -1 N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ -1 N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ 1 (pow (* (- N -1) N) 3)) (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) #s(hole binary64 (atan2 1 (/ (- (* (pow N 2) (pow (- 1 (* -1 N)) 2)) 1) (- (* N (- 1 (* -1 N))) 1)))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))))
#s(approx (- (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (* -1 N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 N (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) N))
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#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 N N))
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#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64)))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) (*.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 N N))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 N N)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (pow (* (- N -1) N) 3) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64)))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 N N))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 N N)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (* 1 (* (- N -1) N)) (*.f64 N N))
#s(approx (* 1 (* (- N -1) N)) (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (*.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) (*.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) (*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (pow (* (* (- N -1) N) -1) 2) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (pow (* (* (- N -1) N) -1) 2) (*.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (pow (* (* (- N -1) N) -1) 2) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (* (- N -1) N) -1) (*.f64 (*.f64 N N) #s(literal -1 binary64)))
#s(approx (* (* (- N -1) N) -1) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N) #s(literal -1 binary64)))
#s(approx (* 1 (* (- N -1) N)) (*.f64 N N))
#s(approx (* 1 (* (- N -1) N)) (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N #s(literal 1 binary64))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 N N))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) (*.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (- N -1) N) 1) (*.f64 N N))
#s(approx (- (* (- N -1) N) 1) (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N))
#s(approx (- (* (- N -1) N) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) #s(literal 1 binary64)) N) #s(literal 2 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 N N))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N))
#s(approx (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1)) (*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N))
#s(approx (- (pow N 3) -1) (*.f64 (*.f64 N N) N))
#s(approx (- (pow N 3) -1) (fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (*.f64 N N))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (*.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (+ (* -1 N) 1) (*.f64 #s(literal -1 binary64) N))
#s(approx (+ (* -1 N) 1) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))
#s(approx (atan2 1 (+ (* N N) (+ (* 1 N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* N N) (+ (* 1 N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
#s(approx (+ (* N N) (+ (* 1 N) 1)) (*.f64 (*.f64 N N) #s(literal -1 binary64)))
#s(approx (+ (* N N) (+ (* 1 N) 1)) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* N N) (+ (* 1 N) 1)) (*.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (*.f64 (*.f64 N N) #s(literal -1 binary64)))
#s(approx (+ (* (pow (* N N) -1/2) (pow N 3)) 1) (*.f64 (-.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (pow (* N N) -1/2) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) #s(literal 3 binary64)) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) #s(literal 2 binary64)) (*.f64 N N) #s(literal 1 binary64)) N) (*.f64 N N)))))
#s(approx (+ 1 (pow (* (- N -1) N) 3)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 3 binary64)) N) #s(literal -1 binary64)) #s(literal 3 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 3 binary64)) N) #s(literal -1 binary64)) #s(literal 3 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ 1 (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N)))) (*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) N) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 2 binary64)) N)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) (* 1 (* (- N -1) N))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N #s(literal 1 binary64))))
#s(approx (- (pow (* (* (- N -1) N) -1) 2) 1) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) N) #s(literal -1 binary64)) #s(literal 2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (- N -1) N) 1) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (* (- N -1) N) -1) 2) 1) (- (* (- N -1) N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N) N #s(literal 1 binary64))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* -1 N) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) #s(literal -1 binary64)))

eval119.0ms (2.9%)

Memory
-21.3MiB live, 220.7MiB allocated; 30ms collecting garbage
Compiler

Compiled 33 982 to 3 435 computations (89.9% saved)

prune1.2s (29.3%)

Memory
18.5MiB live, 1 663.5MiB allocated; 100ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New7815786
Fresh000
Picked145
Done112
Total78310793
Accuracy
99.8%
Counts
793 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
68.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))) N) #s(literal 1 binary64))))
82.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
54.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
99.0%
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
99.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 N N) N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
99.1%
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
54.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (*.f64 #s(literal -1 binary64) N))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))))
Compiler

Compiled 870 to 327 computations (62.4% saved)

regimes10.0ms (0.2%)

Memory
-28.1MiB live, 19.3MiB allocated; 1ms collecting garbage
Accuracy

Total -58.9b remaining (-23190.6%)

Threshold costs -58.9b (-23190.6%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (*.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 N N) N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 N N) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) N))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))) N) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) N (*.f64 N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (+ (* (pow N -1) 1) 1) N) (* N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))))
Calls

2 calls:

5.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations39.0ms (1%)

Memory
-13.3MiB live, 35.8MiB allocated; 1ms collecting garbage
Stop Event
fuel
Compiler

Compiled 29 to 17 computations (41.4% saved)

preprocess11.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 72 to 46 computations (36.1% saved)

end0.0ms (0%)

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

Profiling

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