2atan (example 3.5)

Time bar (total: 3.2s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
4.3MiB live, 4.3MiB 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)

sample1.2s (37.4%)

Memory
37.4MiB live, 1 203.4MiB allocated; 174ms collecting garbage
Samples
800.0ms7 211×1valid
128.0ms844×2valid
9.0ms201×0valid
Precisions
Click to see histograms. Total time spent on operations: 731.0ms
ival-atan: 402.0ms (55% of total)
adjust: 247.0ms (33.8% of total)
ival-add!: 42.0ms (5.7% of total)
ival-sub!: 40.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain144.0ms (4.4%)

Memory
-55.5MiB live, 149.5MiB allocated; 83ms 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))cancellation2551
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-010
Precision?
0.99609375
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms454×1valid
8.0ms54×2valid
0.0ms0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-atan: 24.0ms (50.8% of total)
adjust: 13.0ms (27.5% of total)
ival-add!: 8.0ms (16.9% of total)
ival-sub!: 2.0ms (4.2% of total)

preprocess217.0ms (6.7%)

Memory
22.7MiB live, 208.6MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
067
0107
1137
2167
3277
4617
52527
621957
754917
086357
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB 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))

rewrite51.0ms (1.6%)

Memory
-4.5MiB live, 41.9MiB allocated; 5ms 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 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 N N #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 (-.f64 #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 (-.f64 #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 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #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) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 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 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 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)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#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)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

eval5.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 704 to 183 computations (74% saved)

prune2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New47148
Fresh000
Picked101
Done000
Total48149
Accuracy
19.6%
Counts
49 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.6%
(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 (0.1%)

Memory
3.9MiB live, 3.9MiB 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)

rewrite94.0ms (2.9%)

Memory
-27.6MiB live, 70.1MiB allocated; 9ms 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 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (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 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(*.f64 (-.f64 (pow.f64 N #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 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #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 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #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 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) N))
(-.f64 N (*.f64 (neg.f64 N) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #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)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 N N N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #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 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(fma.f64 (*.f64 (fma.f64 N N 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 (neg.f64 N)) (fabs.f64 (neg.f64 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 (neg.f64 N) N) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N (*.f64 N N))
(fma.f64 (*.f64 N N) (-.f64 (pow.f64 N #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 (fma.f64 N N 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) (fma.f64 N N 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) (neg.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 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 (-.f64 (pow.f64 N #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 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 N (fma.f64 N N #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) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (fma.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 N 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))))

eval17.0ms (0.5%)

Memory
35.4MiB live, 35.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 841 to 466 computations (83.6% saved)

prune11.0ms (0.3%)

Memory
-28.6MiB live, 17.5MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1445149
Fresh000
Picked101
Done000
Total1455150
Accuracy
99.7%
Counts
150 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.5%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
19.5%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
18.5%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
5.2%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
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 202 to 128 computations (36.6% saved)

series13.0ms (0.4%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Counts
33 → 108
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) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (pow.f64 N #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) (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 N #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (pow N -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) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 1))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (pow (- N -1) 2) #s(hole binary64 1))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 1))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -1 N))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 1))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow N 6) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 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 (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 (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow N -1) -1) #s(hole binary64 1))
#s(approx (- (pow N -1) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#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 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1)))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 N)) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) 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) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (pow (- N -1) 2) 2 (pow N 4) 4 (- (- N -1) (* N N)) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
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) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (pow (- N -1) 2) 2 (pow N 4) 4 (- (- N -1) (* N N)) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
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) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (pow (- N -1) 2) 2 (pow N 4) 4 (- (- N -1) (* N N)) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (* (- N -1) (* N N)))

rewrite187.0ms (5.8%)

Memory
-6.9MiB live, 223.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03512547
04062471
119662224
094722182
Stop Event
iter limit
node limit
iter limit
Counts
141 → 343
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) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (pow.f64 N #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) (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 N #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
#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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (pow N -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) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 1))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (pow (- N -1) 2) #s(hole binary64 1))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 1))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -1 N))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 1))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow N 6) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 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 (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 (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow N -1) -1) #s(hole binary64 1))
#s(approx (- (pow N -1) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#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 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1)))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 N)) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) 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 N #s(literal -1 binary64)) N) #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 N #s(literal -1 binary64)) N) #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 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 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 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 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 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 N #s(literal -1 binary64)) N) #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)) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 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))
(pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.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 (-.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 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #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))
(exp.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N) N #s(literal 1 binary64))
(fma.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))))
(-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal -1 binary64) (neg.f64 N))
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#s(literal 6 binary64)
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#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (+.f64 #s(literal 1 binary64) N))
#s(approx N N)
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#s(approx (pow (- N -1) 3) (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 3) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 3) (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) N) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (pow N 6) (pow.f64 N #s(literal 6 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(literal 1 binary64))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 2 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (fma.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N) #s(literal 2 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (neg.f64 (*.f64 N N)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (*.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (*.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- N -1) (* N N)) (*.f64 N N))
#s(approx (* (- N -1) (* N N)) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (- N -1) N)
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (- (pow N -1) -1) #s(literal 1 binary64))
#s(approx (- (pow N -1) -1) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (*.f64 N N))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (*.f64 (-.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow (- N -1) 2) (*.f64 N N))
#s(approx (pow (- N -1) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (pow (- N -1) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (- N -1) (* N N)) (neg.f64 (*.f64 N N)))
#s(approx (- (- N -1) (* N N)) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (- N -1) (* N N)) (*.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (*.f64 N N))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (pow.f64 N #s(literal 6 binary64)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (fma.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 N #s(literal 4 binary64)))) (pow.f64 N #s(literal 6 binary64))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal -5 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 N #s(literal 4 binary64))))) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (- N -1) 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (pow (- N -1) 3) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (- N -1) 3) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 N N)) (/.f64 #s(literal 3 binary64) N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (- N -1) 3) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 N N)) (pow.f64 N #s(literal -3 binary64)))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (pow.f64 N #s(literal 4 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (pow.f64 N #s(literal 4 binary64)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (*.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)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (- N -1) (* N N)) (pow.f64 N #s(literal 3 binary64)))
#s(approx (* (- N -1) (* N N)) (fma.f64 (pow.f64 N #s(literal 3 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) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64))) (*.f64 N N)))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (- N -1) 3) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N)) #s(literal 1 binary64))))
#s(approx (pow (- N -1) 3) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) N)) #s(literal 1 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 2 binary64))) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 2 binary64) (pow.f64 N #s(literal -3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))

eval91.0ms (2.8%)

Memory
-8.1MiB live, 136.1MiB allocated; 25ms collecting garbage
Compiler

Compiled 20 950 to 2 133 computations (89.8% saved)

prune18.0ms (0.5%)

Memory
0.6MiB live, 47.9MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New62511636
Fresh000
Picked505
Done000
Total63011641
Accuracy
99.8%
Counts
641 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.5%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
19.5%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N 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)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
93.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
79.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
93.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
79.1%
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
54.7%
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
99.7%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
Compiler

Compiled 610 to 368 computations (39.7% saved)

series10.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
33 → 107
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N N N)
N
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64))
#s(approx (- N -1) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64))
(fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 N N)
#s(literal 2 binary64)
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(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))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 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) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 1))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx N #s(hole binary64 N))
#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 (+ 1 N) #s(hole binary64 1))
#s(approx (+ 1 N) #s(hole binary64 (+ 1 N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 1))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (+ 2 N)))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 1))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -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 (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 (pow N 3) #s(hole binary64 (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) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 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 (+ 1 N) #s(hole binary64 N))
#s(approx (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* -1 (pow N 3))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* (pow N 3) (- (/ 1 (pow N 2)) 1))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* (pow N 3) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 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 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 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (+ (* N N) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#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) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* -1 (* (pow N 3) (- 1 (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* -1 (* (pow N 3) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) (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 (* -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
3.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (- (- N -1) N) (- N -1) -1 (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) (+ (* (+ (* (* N N) -1) 1) N) 2) (+ (* (* N N) -1) 1) (* N N) 2 (- (- N -1) (* N N)) (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) (pow N 3) 3 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1))
3.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (- (- N -1) N) (- N -1) -1 (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) (+ (* (+ (* (* N N) -1) 1) N) 2) (+ (* (* N N) -1) 1) (* N N) 2 (- (- N -1) (* N N)) (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) (pow N 3) 3 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1))
3.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (- (- N -1) N) (- N -1) -1 (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) (+ (* (+ (* (* N N) -1) 1) N) 2) (+ (* (* N N) -1) 1) (* N N) 2 (- (- N -1) (* N N)) (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) (pow N 3) 3 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1))

rewrite726.0ms (22.3%)

Memory
-90.4MiB live, 270.4MiB allocated; 1.1s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02892246
03301975
114041796
082731775
Stop Event
iter limit
node limit
iter limit
Counts
140 → 498
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N N N)
N
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64))
#s(approx (- N -1) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64))
(fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 N N)
#s(literal 2 binary64)
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(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))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 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) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 1))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx N #s(hole binary64 N))
#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 (+ 1 N) #s(hole binary64 1))
#s(approx (+ 1 N) #s(hole binary64 (+ 1 N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 1))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (+ 2 N)))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 1))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -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 (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 (pow N 3) #s(hole binary64 (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) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 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 (+ 1 N) #s(hole binary64 N))
#s(approx (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* -1 (pow N 3))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* (pow N 3) (- (/ 1 (pow N 2)) 1))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* (pow N 3) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (+ (* (* N N) -1) 1) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 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 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 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (+ (* N N) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#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) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* -1 (* (pow N 3) (- 1 (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) #s(hole binary64 (* -1 (* (pow N 3) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) (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 (* -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) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (neg.f64 N)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 N (neg.f64 N)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (neg.f64 N)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (*.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 N (neg.f64 N)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 N (neg.f64 N)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 N (neg.f64 N)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (neg.f64 N)) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (fma.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #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 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))
(fma.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) (*.f64 (neg.f64 N) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) (*.f64 #s(literal -1 binary64) (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 #s(literal 1 binary64) (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
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(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 #s(literal 1 binary64) (neg.f64 N)) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 (neg.f64 N) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) (neg.f64 N) (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)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 N N) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))) (/.f64 (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))))
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(+.f64 (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (*.f64 N N))
(+.f64 (*.f64 N N) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))
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(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 N (neg.f64 N) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (*.f64 #s(literal 1 binary64) (neg.f64 N)))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(/.f64 (fma.f64 N (neg.f64 N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (-.f64 (neg.f64 N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 N))) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) N))
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(+.f64 (/.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal 1 binary64))))))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 N))
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#s(approx (+ (+ (* N N) N) 1) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
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#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx N N)
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#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
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#s(approx (+ (* (- N -1) N) 1) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
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#s(approx (+ (* (+ (* (+ (* (* N N) -1) 1) N) 2) N) 1) (*.f64 (-.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
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#s(approx (- (- N -1) (* N N)) (*.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 N N)))
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#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))))
#s(approx (+ (* (+ (* (* N N) -1) 1) N) 2) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))
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#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) #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)))
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eval83.0ms (2.6%)

Memory
-6.1MiB live, 135.8MiB allocated; 16ms collecting garbage
Compiler

Compiled 21 810 to 2 566 computations (88.2% saved)

prune22.0ms (0.7%)

Memory
4.5MiB live, 51.7MiB allocated; 3ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New5559564
Fresh336
Picked325
Done000
Total56114575
Accuracy
99.8%
Counts
575 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.5%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
19.5%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 N (neg.f64 N) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
17.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 #s(approx (+ (* (* N N) -1) 1) (*.f64 N (neg.f64 N))) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
99.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 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)))
93.7%
(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)) #s(approx (+ (* N N) (+ (* -1 N) 1)) (*.f64 N N))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
97.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
93.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
79.1%
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
54.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))))
79.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))))
99.7%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
Compiler

Compiled 1 165 to 430 computations (63.1% saved)

regimes14.0ms (0.4%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N 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 (-.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 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 #s(approx (+ (* (* N N) -1) 1) (*.f64 N (neg.f64 N))) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 N (neg.f64 N) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.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)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N 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)) #s(approx (+ (* N N) (+ (* -1 N) 1)) (*.f64 N N))) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N 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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 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 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
N
5.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
97.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
97.5%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
93.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
93.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
-41.5MiB live, 5.5MiB allocated; 2ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
Calls

2 calls:

2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
1.0ms
N
Results
AccuracySegmentsBranch
7.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
7.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify36.0ms (1.1%)

Memory
2.2MiB live, 48.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030105
146105
288105
320295
436090
572990
6497390
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))

derivations235.0ms (7.2%)

Memory
13.5MiB live, 236.9MiB allocated; 77ms collecting garbage
Stop Event
fuel
Compiler

Compiled 105 to 31 computations (70.5% saved)

preprocess38.0ms (1.2%)

Memory
41.9MiB live, 85.0MiB allocated; 12ms collecting garbage
Compiler

Compiled 240 to 84 computations (65% saved)

end0.0ms (0%)

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

Profiling

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