2atan (example 3.5)

Time bar (total: 4.1s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB 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)

sample2.0s (49.1%)

Memory
-170.2MiB live, 1 801.5MiB allocated; 1.3s collecting garbage
Samples
1.5s7 347×1valid
177.0ms680×2valid
13.0ms229×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-atan: 842.0ms (57.6% of total)
adjust: 427.0ms (29.2% of total)
ival-add: 105.0ms (7.2% of total)
ival-sub: 78.0ms (5.3% of total)
exact: 8.0ms (0.5% of total)
ival-assert: 2.0ms (0.1% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain140.0ms (3.4%)

Memory
17.2MiB live, 151.5MiB allocated; 39ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(-.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))cancellation2530
Confusion
Predicted +Predicted -
+2530
-03
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms454×1valid
22.0ms44×2valid
1.0ms14×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-atan: 26.0ms (46.1% of total)
adjust: 20.0ms (35.5% of total)
ival-add: 5.0ms (8.9% of total)
ival-sub: 5.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess244.0ms (5.9%)

Memory
-0.3MiB live, 187.1MiB allocated; 48ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series2.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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))
0.0ms
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))

rewrite79.0ms (1.9%)

Memory
-6.3MiB live, 53.2MiB allocated; 10ms 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))))

eval11.0ms (0.3%)

Memory
-38.7MiB live, 7.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 704 to 183 computations (74% saved)

prune2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New47148
Fresh000
Picked101
Done000
Total48149
Accuracy
20.7%
Counts
49 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

series2.0ms (0%)

Memory
2.0MiB live, 2.0MiB 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)

rewrite84.0ms (2%)

Memory
-4.7MiB live, 41.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval61.0ms (1.5%)

Memory
6.3MiB live, 46.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 841 to 466 computations (83.6% saved)

prune9.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1436149
Fresh000
Picked101
Done000
Total1446150
Accuracy
99.6%
Counts
150 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.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)))) N #s(literal 1 binary64)))
20.7%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))) N #s(literal 1 binary64)))
20.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) 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))))
20.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
5.3%
(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 238 to 146 computations (38.7% saved)

series11.0ms (0.3%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
29 → 91
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) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))) N #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))) N #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N)))
(/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N))
(*.f64 N N)
(+.f64 #s(literal -1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) 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 (*.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)))
(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 N) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))
(-.f64 N (*.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) (+ 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) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ (pow N 2) (- N 1)) (/ 1 (- N 1))))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 1))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -1 N) 1)) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -1 N) 1)) 1)) 1))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ -1 N) #s(hole binary64 -1))
#s(approx (+ -1 N) #s(hole binary64 (- N 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 -1))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* -1 N) 1)) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* N (- (* -1 N) 1)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (- N (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 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 (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#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) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 N))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 N))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))))))
#s(approx (+ -1 N) #s(hole binary64 N))
#s(approx (+ -1 N) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) N)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#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) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (* -1 N))) (/ (pow N 2) (+ 1 (* -1 N)))))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ -1 N) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (+ (* -1 N) (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (+ (* -1 N) (pow N 2)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (/ (* N N) (+ -1 N)) (* N N) (+ -1 N) (/ 1 (+ -1 N)) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))
3.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (/ (* N N) (+ -1 N)) (* N N) (+ -1 N) (/ 1 (+ -1 N)) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* 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) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (/ (* N N) (+ -1 N)) (* N N) (+ -1 N) (/ 1 (+ -1 N)) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))

rewrite252.0ms (6.1%)

Memory
-10.1MiB live, 272.8MiB allocated; 80ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631926
03101493
111941334
093261307
Stop Event
iter limit
node limit
iter limit
Counts
120 → 1 146
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) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))) N #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))) N #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N)))
(/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N))
(*.f64 N N)
(+.f64 #s(literal -1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) 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 (*.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)))
(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 N) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))
(-.f64 N (*.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) (+ 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) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ (pow N 2) (- N 1)) (/ 1 (- N 1))))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 1))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -1 N) 1)) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -1 N) 1)) 1)) 1))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ -1 N) #s(hole binary64 -1))
#s(approx (+ -1 N) #s(hole binary64 (- N 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 -1))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* -1 N) 1)) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* N (- (* -1 N) 1)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (- N (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 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 (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#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) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 N))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 N))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))))))
#s(approx (+ -1 N) #s(hole binary64 N))
#s(approx (+ -1 N) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) N)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#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) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (* -1 N))) (/ (pow N 2) (+ 1 (* -1 N)))))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ -1 N) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (+ (* -1 N) (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (+ (* -1 N) (pow N 2)))))))
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 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(*.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 N) N N)) (/.f64 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (neg.f64 N) N N)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 N) N N)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) #s(literal 2 binary64)))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) N) N)
(*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 N N))
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 N N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (neg.f64 N) N N)) (fma.f64 (neg.f64 N) N N)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (fma.f64 (neg.f64 N) N N)))
(*.f64 N (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) 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 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))) (-.f64 (*.f64 N N) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) 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) (*.f64 (-.f64 #s(literal -1 binary64) N) N)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 N N) (*.f64 (fma.f64 N 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 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.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 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 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 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.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 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 N) (fma.f64 #s(literal -1 binary64) N (fma.f64 N N #s(literal 1 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) (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 (fma.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) #s(literal 2 binary64)))
(/.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 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 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 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 N) (fma.f64 #s(literal -1 binary64) N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 N N N)))
(/.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)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 (*.f64 N (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (fma.f64 (neg.f64 N) N N)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (fma.f64 (neg.f64 N) N N)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 (*.f64 N (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N) N)
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N) N)
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) N) N N)
(fma.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (fabs.f64 N)) (fabs.f64 N) (*.f64 N N))
(fma.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (neg.f64 N)) (neg.f64 N) (*.f64 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 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 N) N N)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 N) N N)) (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) N) N (*.f64 N N))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))) N)
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) (*.f64 N N))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 N N) N)
(fma.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N) (*.f64 N 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)) N (*.f64 N N))
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))) N)
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) (*.f64 N N))
(fma.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) N)
(fma.f64 (*.f64 N N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.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 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
(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 #s(literal 1 binary64) (*.f64 N N) (*.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
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(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) N))
(fma.f64 (-.f64 #s(literal 1 binary64) N) N (fma.f64 (neg.f64 N) N N))
(fma.f64 (*.f64 #s(literal -2 binary64) N) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) N) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 (*.f64 #s(literal -2 binary64) N) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 (*.f64 #s(literal -2 binary64) N) N (*.f64 #s(literal 2 binary64) N))
(fma.f64 #s(literal -2 binary64) (neg.f64 N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 N) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 #s(literal -2 binary64) (neg.f64 N) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 #s(literal -2 binary64) (*.f64 N N) (*.f64 #s(literal 2 binary64) N))
(fma.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N) (*.f64 #s(literal 2 binary64) N))
(fma.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 (fma.f64 (neg.f64 N) N N) #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 N) N N) #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 (neg.f64 N) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 (neg.f64 N) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 (neg.f64 N) (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) N))
(fma.f64 (*.f64 N N) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) N))
(fma.f64 #s(literal 2 binary64) N (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) N (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 #s(literal 2 binary64) N (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) N N) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) N N)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) N) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) N) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 N (-.f64 #s(literal 1 binary64) N) (fma.f64 (neg.f64 N) N N))
(fma.f64 N (*.f64 #s(literal -2 binary64) N) (*.f64 #s(literal 2 binary64) N))
(fma.f64 N #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 N #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 N #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N N) (*.f64 N N))
(-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal 2 binary64) N) N))
(-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (neg.f64 N) (*.f64 #s(literal -2 binary64) N)))
(-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (*.f64 N N)))
(-.f64 N (-.f64 (*.f64 N N) (fma.f64 (neg.f64 N) N N)))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N N) (*.f64 (neg.f64 N) N))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) N N)) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) N N)))
(+.f64 (*.f64 (fma.f64 (neg.f64 N) N N) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 N) N N) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) N) N) (*.f64 #s(literal 2 binary64) N))
(+.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(+.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(+.f64 (fma.f64 (neg.f64 N) N N) (fma.f64 (neg.f64 N) N N))
(+.f64 N (fma.f64 (neg.f64 N) N (fma.f64 (neg.f64 N) N N)))
(+.f64 N (+.f64 N (*.f64 (*.f64 #s(literal -2 binary64) N) N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(*.f64 N (-.f64 #s(literal 1 binary64) N))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (pow.f64 N #s(literal 6 binary64)))) (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) N) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 N #s(literal 6 binary64))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (fma.f64 N N N))
(neg.f64 (*.f64 N (-.f64 N #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (fabs.f64 N) N)
(fma.f64 (neg.f64 (fabs.f64 N)) (fabs.f64 N) N)
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) #s(literal -1 binary64)) N)
(fma.f64 (fabs.f64 N) (neg.f64 (fabs.f64 N)) N)
(fma.f64 (neg.f64 N) N N)
(fma.f64 (*.f64 N N) #s(literal -1 binary64) N)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) N) N)
(fma.f64 #s(literal -1 binary64) (*.f64 N N) N)
(fma.f64 N (neg.f64 N) N)
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(-.f64 (/.f64 (*.f64 N N) (fma.f64 N N N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N N)))
(-.f64 N (*.f64 N N))
(+.f64 (*.f64 (neg.f64 N) N) N)
(+.f64 N (*.f64 (neg.f64 N) N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N 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 (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(literal 1 binary64))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) #s(literal 1 binary64))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(literal 1 binary64))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (neg.f64 N) N))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) N))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)) N) N))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)) N #s(literal -1 binary64)) N) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (+ -1 N) #s(literal -1 binary64))
#s(approx (+ -1 N) (-.f64 N #s(literal 1 binary64)))
#s(approx (/ 1 (+ -1 N)) #s(literal -1 binary64))
#s(approx (/ 1 (+ -1 N)) (-.f64 #s(literal -1 binary64) N))
#s(approx (/ 1 (+ -1 N)) (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)))
#s(approx (/ 1 (+ -1 N)) (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)) N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (fma.f64 (neg.f64 N) N N))))
#s(approx (+ N (+ (* N N) 1)) #s(literal 1 binary64))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (*.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal 2 binary64)) N))
#s(approx (- (* N N) (pow N 4)) (*.f64 N N))
#s(approx (- (* N N) (pow N 4)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow N 4) (pow.f64 N #s(literal 4 binary64)))
#s(approx (* (- N (* N N)) 2) (*.f64 #s(literal 2 binary64) N))
#s(approx (* (- N (* N N)) 2) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
#s(approx (- N (* N N)) N)
#s(approx (- N (* N N)) (fma.f64 (neg.f64 N) N N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (* N N) (+ -1 N)) N)
#s(approx (/ (* N N) (+ -1 N)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (* N N) (+ -1 N)) (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (/ (* N N) (+ -1 N)) (+.f64 (fma.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64))) N #s(literal 1 binary64)) N))
#s(approx (+ -1 N) N)
#s(approx (+ -1 N) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N))
#s(approx (/ 1 (+ -1 N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ 1 (+ -1 N)) (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N))
#s(approx (/ 1 (+ -1 N)) (/.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) N))
#s(approx (/ 1 (+ -1 N)) (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)) N))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (*.f64 #s(literal -2 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (* N N) (pow N 4)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (* N N) (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 (* (- N (* N N)) 2) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
#s(approx (* (- N (* N N)) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N) N))
#s(approx (- N (* N N)) (*.f64 (neg.f64 N) N))
#s(approx (- N (* N N)) (*.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (/ (* N N) (+ -1 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)) (neg.f64 N)))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (+ -1 N) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ 1 (+ -1 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)) (neg.f64 N)))
#s(approx (/ 1 (+ -1 N)) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal -1/2 binary64))))

eval177.0ms (4.3%)

Memory
18.0MiB live, 348.0MiB allocated; 66ms collecting garbage
Compiler

Compiled 36 959 to 3 643 computations (90.1% saved)

prune36.0ms (0.9%)

Memory
6.6MiB live, 99.8MiB allocated; 8ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1 159121 171
Fresh101
Picked505
Done000
Total1 165121 177
Accuracy
99.8%
Counts
1 177 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))) N #s(literal 1 binary64)))
20.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
75.7%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 N) N N)) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 N N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
75.7%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
97.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
8.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
93.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))))
Compiler

Compiled 548 to 348 computations (36.5% saved)

series10.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Counts
31 → 100
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (- (- N -1) 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
#s(literal -1 binary64)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))) N #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N)))
(/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N))
(*.f64 N N)
(+.f64 #s(literal -1 binary64) N)
(/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))
#s(approx (+ -1 N) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N)
(*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N)
(fma.f64 (neg.f64 N) N #s(literal 1 binary64))
(neg.f64 N)
#s(literal 2 binary64)
(*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))
(-.f64 N (*.f64 N N))
Outputs
#s(approx (atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#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 (+ (* 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 -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ (pow N 2) (- N 1)) (/ 1 (- N 1))))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 1))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -1 N) 1)) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -1 N) 1)) 1)) 1))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ -1 N) #s(hole binary64 -1))
#s(approx (+ -1 N) #s(hole binary64 (- N 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 -1))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* -1 N) 1)) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* N (- (* -1 N) 1)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (* (pow N 2) (+ 1 (* -1 (pow N 2))))) (* 2 (- N (pow N 2)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (pow N 2)))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 N))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* N (+ 1 (* -1 (pow N 2))))))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 1))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#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 (+ 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 -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 N))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 N))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))))))
#s(approx (+ -1 N) #s(hole binary64 N))
#s(approx (+ -1 N) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (* (pow N 2) (- 1 (pow N 2)))) (* 2 (- N (pow N 2)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* -1 (pow N 3))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* (pow N 3) (- (/ 1 (pow N 2)) 1))))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (* -1 N))) (/ (pow N 2) (+ 1 (* -1 N)))))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ -1 N) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (+ (* -1 N) (pow N 2))) (* 2 (* (pow N 2) (- 1 (pow N 2))))) (+ (* -1 N) (pow N 2)))))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* -1 (* (pow N 3) (- 1 (/ 1 (pow N 2)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@0
((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (/ (* N N) (+ -1 N)) (* N N) (+ -1 N) (/ 1 (+ -1 N)) (+ -1 N) (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (* (+ (* (neg N) N) 1) N) N) (* (+ (* (neg N) N) 1) N) (+ (* (neg N) N) 1) (neg N) 2 (* (- N (* N N)) 2) (- N (* N N)))
3.0ms
N
@-inf
((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (/ (* N N) (+ -1 N)) (* N N) (+ -1 N) (/ 1 (+ -1 N)) (+ -1 N) (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (* (+ (* (neg N) N) 1) N) N) (* (+ (* (neg N) N) 1) N) (+ (* (neg N) N) 1) (neg N) 2 (* (- N (* N N)) 2) (- N (* N N)))
2.0ms
N
@inf
((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (/ (* N N) (+ -1 N)) (* N N) (+ -1 N) (/ 1 (+ -1 N)) (+ -1 N) (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (* (+ (* (neg N) N) 1) N) N) (* (+ (* (neg N) N) 1) N) (+ (* (neg N) N) 1) (neg N) 2 (* (- N (* N N)) 2) (- N (* N N)))

rewrite213.0ms (5.2%)

Memory
-27.8MiB live, 312.1MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02852198
03281754
112831566
090181553
Stop Event
iter limit
node limit
iter limit
Counts
131 → 824
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (- (- N -1) 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
#s(literal -1 binary64)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))) N #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N)))
(/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N))
(*.f64 N N)
(+.f64 #s(literal -1 binary64) N)
(/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))
#s(approx (+ -1 N) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N)
(*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N)
(fma.f64 (neg.f64 N) N #s(literal 1 binary64))
(neg.f64 N)
#s(literal 2 binary64)
(*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))
(-.f64 N (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#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 (+ (* 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 -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ (pow N 2) (- N 1)) (/ 1 (- N 1))))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 1))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -1 N) 1)) 1))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -1 N) 1)) 1)) 1))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ -1 N) #s(hole binary64 -1))
#s(approx (+ -1 N) #s(hole binary64 (- N 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 -1))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* -1 N) 1)) 1)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (- (* N (- (* N (- (* -1 N) 1)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (* (pow N 2) (+ 1 (* -1 (pow N 2))))) (* 2 (- N (pow N 2)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (pow N 2)))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 N))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* N (+ 1 (* -1 (pow N 2))))))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 1))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#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 (+ 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 -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 N))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 N))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* N (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))))))
#s(approx (+ -1 N) #s(hole binary64 N))
#s(approx (+ -1 N) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (* (pow N 2) (- 1 (pow N 2)))) (* 2 (- N (pow N 2)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* -1 (pow N 3))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* (pow N 3) (- (/ 1 (pow N 2)) 1))))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (+ (* (neg N) N) 1) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (* -1 N))) (/ (pow N 2) (+ 1 (* -1 N)))))))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1)))))
#s(approx (/ (* N N) (+ -1 N)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ -1 N) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))))
#s(approx (/ 1 (+ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (+ (* -1 N) (pow N 2))) (* 2 (* (pow N 2) (- 1 (pow N 2))))) (+ (* -1 N) (pow N 2)))))))
#s(approx (* (+ (* (neg N) N) 1) N) #s(hole binary64 (* -1 (* (pow N 3) (- 1 (/ 1 (pow N 2)))))))
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 2 binary64) (-.f64 N (*.f64 N N))) (/.f64 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (*.f64 N N))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (*.f64 N N))) (-.f64 N (*.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 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))) (-.f64 (fma.f64 N N N) (*.f64 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))) #s(literal 1 binary64))))
(/.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 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 N N) (*.f64 (fma.f64 N 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 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))) #s(literal 1 binary64))) (*.f64 (fma.f64 N N N) (*.f64 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 N (fma.f64 N 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 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (fma.f64 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)) (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 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.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) (fma.f64 N N N)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)) #s(literal 2 binary64) (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (neg.f64 N)) #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 (+.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)) (fma.f64 N N (pow.f64 (neg.f64 N) #s(literal 3 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (pow.f64 (neg.f64 N) #s(literal 3 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)))) (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 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 (fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (pow.f64 (neg.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)) (fma.f64 N N (pow.f64 (neg.f64 N) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal -2 binary64)) (pow.f64 (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.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 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 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 3 binary64)) #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 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (fma.f64 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)) (fma.f64 N N N))))
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#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(literal 1 binary64))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(literal 1 binary64))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(literal 1 binary64))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) #s(literal 1 binary64))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (neg.f64 N) N))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (-.f64 #s(literal -1 binary64) N) (*.f64 N N)))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)) N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (* N N) (*.f64 N N))
#s(approx (+ -1 N) #s(literal -1 binary64))
#s(approx (+ -1 N) (-.f64 N #s(literal 1 binary64)))
#s(approx (/ 1 (+ -1 N)) #s(literal -1 binary64))
#s(approx (/ 1 (+ -1 N)) (-.f64 #s(literal -1 binary64) N))
#s(approx (/ 1 (+ -1 N)) (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)))
#s(approx (/ 1 (+ -1 N)) (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)) N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (*.f64 N N)))) (-.f64 N (*.f64 N N))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(literal 1 binary64))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (*.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal 2 binary64)) N))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) (*.f64 N N))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (+ (* (neg N) N) 1) N) N)
#s(approx (* (+ (* (neg N) N) 1) N) (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N))
#s(approx (+ (* (neg N) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (neg N) N) 1) (fma.f64 (neg.f64 N) N #s(literal 1 binary64)))
#s(approx (neg N) (neg.f64 N))
#s(approx (* (- N (* N N)) 2) (*.f64 #s(literal 2 binary64) N))
#s(approx (* (- N (* N N)) 2) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
#s(approx (- N (* N N)) N)
#s(approx (- N (* N N)) (-.f64 N (*.f64 N N)))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N (fma.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 N N) N)))
#s(approx (+ (* N N) N) (*.f64 N N))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N (fma.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 N N) N)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N (fma.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 N N) N)))
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)
#s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (* N N) (+ -1 N)) N)
#s(approx (/ (* N N) (+ -1 N)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (* N N) (+ -1 N)) (fma.f64 #s(literal 1 binary64) N (fma.f64 (pow.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64))))
#s(approx (/ (* N N) (+ -1 N)) (fma.f64 #s(literal 1 binary64) N (fma.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64))) N #s(literal 1 binary64))))
#s(approx (+ -1 N) N)
#s(approx (+ -1 N) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N))
#s(approx (/ 1 (+ -1 N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ 1 (+ -1 N)) (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N))
#s(approx (/ 1 (+ -1 N)) (/.f64 (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))) N))
#s(approx (/ 1 (+ -1 N)) (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (*.f64 N N)))) (-.f64 N (*.f64 N N))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N N))
#s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (fma.f64 N N (fma.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 N N) N)))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (* (+ (* (neg N) N) 1) N) N) (*.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (+ (* (neg N) N) 1) N) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
#s(approx (* (+ (* (neg N) N) 1) N) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (neg N) N) 1) (*.f64 (neg.f64 N) N))
#s(approx (+ (* (neg N) N) 1) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- N (* N N)) 2) (*.f64 #s(literal -2 binary64) (*.f64 N N)))
#s(approx (* (- N (* N N)) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (*.f64 N N)))
#s(approx (- N (* N N)) (*.f64 (neg.f64 N) N))
#s(approx (- N (* N N)) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (/ (* N N) (+ -1 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)) (neg.f64 N)))
#s(approx (/ (* N N) (+ -1 N)) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (+ -1 N) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ 1 (+ -1 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)) (neg.f64 N)))
#s(approx (/ 1 (+ -1 N)) (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (*.f64 N N)))) (fma.f64 N N (neg.f64 N))) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (neg N) N) 1) N) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))

eval163.0ms (3.9%)

Memory
-1.1MiB live, 327.1MiB allocated; 46ms collecting garbage
Compiler

Compiled 38 160 to 3 870 computations (89.9% saved)

prune37.0ms (0.9%)

Memory
23.8MiB live, 114.5MiB allocated; 6ms collecting garbage
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 12581 133
Fresh437
Picked145
Done000
Total1 130151 145
Accuracy
99.8%
Counts
1 145 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
93.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N)))
97.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
73.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)) (fma.f64 N N (neg.f64 N)))))
8.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
97.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (+.f64 (*.f64 N N) N)))
73.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))))
96.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) N) (-.f64 N (*.f64 N N))))))
96.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 N N)) (-.f64 N (*.f64 N N))) (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) #s(literal 2 binary64)))))
97.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
7.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))))
Compiler

Compiled 1 051 to 403 computations (61.7% saved)

regimes33.0ms (0.8%)

Memory
-0.6MiB live, 34.5MiB allocated; 21ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #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) (+.f64 N (fma.f64 N 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 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) #s(approx (+ -1 N) N))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 N N)) (-.f64 N (*.f64 N N))) (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) N) (-.f64 N (*.f64 N N))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (-.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)) (fma.f64 N N (neg.f64 N)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 N) N N)) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) 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))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 N N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.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 (+.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)))) N #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
Calls

2 calls:

26.0ms
N
6.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes20.0ms (0.5%)

Memory
-35.0MiB live, 21.3MiB allocated; 21ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (+.f64 (*.f64 N N) N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
Calls

2 calls:

17.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
97.0%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
97.0%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (* (* (+ (* (neg N) N) 1) N) N) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (*.f64 N N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
93.4%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
93.4%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
8.0%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
8.0%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes88.0ms (2.1%)

Memory
-36.2MiB live, 8.8MiB allocated; 11ms 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 (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -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
7.9%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify95.0ms (2.3%)

Memory
10.4MiB live, 55.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030117
147117
291105
318199
434299
593899
6766499
Stop Event
node limit
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #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)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #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)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (- (/ (* N N) (+ -1 N)) (/ 1 (+ -1 N))) N)))

derivations288.0ms (7%)

Memory
-28.0MiB live, 222.6MiB allocated; 68ms collecting garbage
Stop Event
fuel
Compiler

Compiled 117 to 32 computations (72.6% saved)

preprocess37.0ms (0.9%)

Memory
-27.3MiB live, 69.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 264 to 86 computations (67.4% saved)

end0.0ms (0%)

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

Profiling

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