2atan (example 3.5)

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB 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)

sample2.1s (54.4%)

Memory
58.1MiB live, 2 785.4MiB allocated; 635ms collecting garbage
Samples
1.5s7 399×1valid
236.0ms649×2valid
14.0ms208×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-atan: 503.0ms (38.1% of total)
adjust: 476.0ms (36.1% of total)
ival-add: 231.0ms (17.5% of total)
ival-sub: 100.0ms (7.6% of total)
exact: 9.0ms (0.7% of total)
ival-assert: 2.0ms (0.2% 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

explain152.0ms (4%)

Memory
12.6MiB live, 296.3MiB allocated; 47ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.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))cancellation2540
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-002
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms448×1valid
15.0ms50×2valid
1.0ms14×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-atan: 26.0ms (39.3% of total)
adjust: 24.0ms (36.2% of total)
ival-sub: 9.0ms (13.6% of total)
ival-add: 6.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess259.0ms (6.9%)

Memory
1.8MiB live, 235.2MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.3%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series2.0ms (0.1%)

Memory
5.1MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
6 → 10
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

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

rewrite69.0ms (1.8%)

Memory
-37.3MiB live, 117.6MiB allocated; 19ms 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))))

eval6.0ms (0.2%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 704 to 183 computations (74% saved)

prune2.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New47148
Fresh000
Picked101
Done000
Total48149
Accuracy
18.0%
Counts
49 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

series2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB 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)

rewrite77.0ms (2%)

Memory
14.7MiB live, 107.7MiB allocated; 6ms 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))))

eval27.0ms (0.7%)

Memory
-37.6MiB live, 59.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 841 to 466 computations (83.6% saved)

prune9.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB 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
18.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
18.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
16.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
18.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
5.2%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Compiler

Compiled 222 to 144 computations (35.1% saved)

series10.0ms (0.3%)

Memory
-29.4MiB live, 17.3MiB allocated; 2ms collecting garbage
Counts
26 → 72
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 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal -1 binary64))
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 1))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- 1 N) #s(hole binary64 1))
#s(approx (- 1 N) #s(hole binary64 (+ 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow N -1) -1) #s(hole binary64 1))
#s(approx (- (pow N -1) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (- 1 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1 N) #s(hole binary64 (* N (- (/ 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N))
2.0ms
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N))
2.0ms
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N))

rewrite131.0ms (3.5%)

Memory
17.8MiB live, 206.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881308
02241009
1840900
08033896
Stop Event
iter limit
node limit
iter limit
Counts
98 → 1 188
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 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal -1 binary64))
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 1))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- 1 N) #s(hole binary64 1))
#s(approx (- 1 N) #s(hole binary64 (+ 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow N -1) -1) #s(hole binary64 1))
#s(approx (- (pow N -1) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (- 1 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1 N) #s(hole binary64 (* N (- (/ 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) N) N)
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) (*.f64 N N))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64))))
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64))))
(*.f64 (*.f64 N N) (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)))
(*.f64 N (*.f64 N (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 2 binary64))) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)))
(/.f64 (*.f64 (*.f64 N N) (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.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 (*.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) 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 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 N (-.f64 #s(literal -1 binary64) 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 N (-.f64 #s(literal -1 binary64) 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 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #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)))))
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(fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 N N) (neg.f64 N))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 N))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) N) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 #s(literal -1 binary64) N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N (*.f64 N (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 N))
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N #s(literal -1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) N))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) N)))
(-.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N)))
(+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 N #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 N #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(+.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal -1 binary64)))
(neg.f64 (-.f64 N #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(-.f64 (neg.f64 N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) N)
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 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))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx 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))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* 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 -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow N -1) -1) (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (pow N -1) -1) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (pow N -1) (pow.f64 N #s(literal -1 binary64)))
#s(approx (* N N) (*.f64 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))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (pow N 3) -1) #s(literal 1 binary64))
#s(approx (- (pow N 3) -1) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (+ (* N N) (- 1 N)) #s(literal 1 binary64))
#s(approx (+ (* N N) (- 1 N)) (-.f64 #s(literal 1 binary64) N))
#s(approx (+ (* N N) (- 1 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
#s(approx (- 1 N) #s(literal 1 binary64))
#s(approx (- 1 N) (-.f64 #s(literal 1 binary64) 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))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -1) (* 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 -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow N -1) -1) #s(literal 1 binary64))
#s(approx (- (pow N -1) -1) (/.f64 (-.f64 N #s(literal -1 binary64)) 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))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (pow N 3) -1) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (pow N 3) -1) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* N N) (- 1 N)) (*.f64 N N))
#s(approx (+ (* N N) (- 1 N)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) N))
#s(approx (+ (* N N) (- 1 N)) (*.f64 (-.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- 1 N) (neg.f64 N))
#s(approx (- 1 N) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) 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))))
#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 (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 (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 N) (- 1 N)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N)) N) N))
#s(approx (- 1 N) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (neg.f64 N)))

eval135.0ms (3.6%)

Memory
19.6MiB live, 166.1MiB allocated; 38ms collecting garbage
Compiler

Compiled 25 998 to 2 915 computations (88.8% saved)

prune56.0ms (1.5%)

Memory
-25.6MiB live, 68.1MiB allocated; 7ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New95716973
Fresh101
Picked505
Done000
Total96316979
Accuracy
99.8%
Counts
979 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 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)))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 N N) (/.f64 N (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)))) N #s(literal 1 binary64)))
49.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
99.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
77.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))) N #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) N) N) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 2 binary64))) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N))))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
77.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
96.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N)))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
93.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N)))
Compiler

Compiled 802 to 472 computations (41.1% saved)

series13.0ms (0.4%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
30 → 111
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 (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* 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)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(*.f64 N N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 N))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 N))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (* N (+ 1 (* -1 (pow N 2))))))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- 1 N) #s(hole binary64 1))
#s(approx (- 1 N) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- (pow N 6) 1)) (* (- (+ 1 (pow N 2)) N) (- (pow N 3) 1)))))))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 1))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 6) 1) #s(hole binary64 -1))
#s(approx (- (pow N 6) 1) #s(hole binary64 (- (pow N 6) 1)))
#s(approx (pow N 6) #s(hole binary64 (pow N 6)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 -1))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (- N 1)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (- (* N (+ 1 (* -1 N))) 1)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (- (* N (+ 1 (* N (- N 1)))) 1)))
#s(approx (- (pow N 3) 1) #s(hole binary64 -1))
#s(approx (- (pow N 3) 1) #s(hole binary64 (- (pow N 3) 1)))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) N)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) N)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (- 1 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1 N) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (/ (pow N 7) (* (- (+ 1 (pow N 2)) N) (- (pow N 3) 1)))) (/ N (* (- (+ 1 (pow N 2)) N) (- (pow N 3) 1)))))))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 N))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 6) 1) #s(hole binary64 (pow N 6)))
#s(approx (- (pow N 6) 1) #s(hole binary64 (* (pow N 6) (- 1 (/ 1 (pow N 6))))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (pow N 5)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* (pow N 5) (- 1 (/ 1 N)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))))))
#s(approx (- (pow N 3) 1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) 1) #s(hole binary64 (* (pow N 3) (- 1 (/ 1 (pow N 3))))))
#s(approx (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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) N))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (* -1 (/ (pow N 7) (* (+ 1 (* -1 (pow N 3))) (+ 1 (+ (* -1 N) (pow N 2))))))) (* -1 (/ N (* (+ 1 (* -1 (pow N 3))) (+ 1 (+ (* -1 N) (pow N 2))))))))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (* (pow N 5) (- (/ 1 N) 1)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (* (pow N 5) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (* (pow N 5) (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1)))))
#s(approx (- (pow N 3) 1) #s(hole binary64 (* -1 (* (pow N 3) (- (/ 1 (pow N 3)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) (- (pow N 3) -1) (pow N 3) 3 (/ N (+ (* N N) (- 1 N))) (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) (- (pow N 6) 1) (pow N 6) 6 (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (- (pow N 3) 1))
4.0ms
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) (- (pow N 3) -1) (pow N 3) 3 (/ N (+ (* N N) (- 1 N))) (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) (- (pow N 6) 1) (pow N 6) 6 (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (- (pow N 3) 1))
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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) (- (pow N 3) -1) (pow N 3) 3 (/ N (+ (* N N) (- 1 N))) (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) (- (pow N 6) 1) (pow N 6) 6 (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (- (pow N 3) 1))

rewrite191.0ms (5.1%)

Memory
17.0MiB live, 115.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03252405
03712318
115462163
086202131
Stop Event
iter limit
node limit
iter limit
Counts
141 → 390
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 (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* 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)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(*.f64 N N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
#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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 N))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 N))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (* N (+ 1 (* -1 (pow N 2))))))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- 1 N) #s(hole binary64 1))
#s(approx (- 1 N) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- (pow N 6) 1)) (* (- (+ 1 (pow N 2)) N) (- (pow N 3) 1)))))))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 1))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 6) 1) #s(hole binary64 -1))
#s(approx (- (pow N 6) 1) #s(hole binary64 (- (pow N 6) 1)))
#s(approx (pow N 6) #s(hole binary64 (pow N 6)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 -1))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (- N 1)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (- (* N (+ 1 (* -1 N))) 1)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (- (* N (+ 1 (* N (- N 1)))) 1)))
#s(approx (- (pow N 3) 1) #s(hole binary64 -1))
#s(approx (- (pow N 3) 1) #s(hole binary64 (- (pow N 3) 1)))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) N)))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) N)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (- 1 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1 N) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (/ (pow N 7) (* (- (+ 1 (pow N 2)) N) (- (pow N 3) 1)))) (/ N (* (- (+ 1 (pow N 2)) N) (- (pow N 3) 1)))))))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 N))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 6) 1) #s(hole binary64 (pow N 6)))
#s(approx (- (pow N 6) 1) #s(hole binary64 (* (pow N 6) (- 1 (/ 1 (pow N 6))))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (pow N 5)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* (pow N 5) (- 1 (/ 1 N)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* (pow N 5) (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))))))
#s(approx (- (pow N 3) 1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) 1) #s(hole binary64 (* (pow N 3) (- 1 (/ 1 (pow N 3))))))
#s(approx (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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) N))))
#s(approx (/ N (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (* -1 (/ (pow N 7) (* (+ 1 (* -1 (pow N 3))) (+ 1 (+ (* -1 N) (pow N 2))))))) (* -1 (/ N (* (+ 1 (* -1 (pow N 3))) (+ 1 (+ (* -1 N) (pow N 2))))))))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (* (pow N 5) (- (/ 1 N) 1)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (* (pow N 5) (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) #s(hole binary64 (* -1 (* (pow N 5) (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1)))))
#s(approx (- (pow N 3) 1) #s(hole binary64 (* -1 (* (pow N 3) (- (/ 1 (pow N 3)) 1)))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 N #s(literal -1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.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 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 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) 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) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (-.f64 N #s(literal -1 binary64)))
(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 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 (neg.f64 N) (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 N N (-.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N #s(literal 1 binary64))) (pow.f64 N #s(literal 4 binary64))) (-.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N)))
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 (-.f64 N (*.f64 N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N))) (neg.f64 (-.f64 (*.f64 N N) N)))
(/.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 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)) (-.f64 (*.f64 N 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 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) N)
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) N)
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) N)
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) N)
(fma.f64 (neg.f64 N) (neg.f64 N) N)
(fma.f64 (fabs.f64 N) (fabs.f64 N) N)
(fma.f64 #s(literal 1 binary64) N (*.f64 N N))
(fma.f64 N #s(literal 1 binary64) (*.f64 N N))
(fma.f64 N N N)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 N (*.f64 N N))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N 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 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 N (*.f64 N N))
N
#s(literal -1 binary64)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
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#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (- N -1) N)
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (/ (- N -1) N) #s(literal 1 binary64))
#s(approx (/ (- N -1) N) (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (- (pow N 3) -1) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (pow N 3) -1) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (/ N (+ (* N N) (- 1 N))) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ N (+ (* N N) (- 1 N))) (/.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))
#s(approx (/ N (+ (* N N) (- 1 N))) (/.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -3 binary64))) N))
#s(approx (/ N (+ (* N N) (- 1 N))) (/.f64 (+.f64 (fma.f64 (+.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -3 binary64))) #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) N))
#s(approx (+ (* N N) (- 1 N)) (*.f64 N N))
#s(approx (+ (* N N) (- 1 N)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (+ (* N N) (- 1 N)) (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- 1 N) (neg.f64 N))
#s(approx (- 1 N) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 7 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)))))))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N)
#s(approx (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (- (pow N 6) 1) (pow.f64 N #s(literal 6 binary64)))
#s(approx (- (pow N 6) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal 6 binary64))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (pow.f64 N #s(literal 5 binary64)))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (*.f64 (pow.f64 N #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (*.f64 (pow.f64 N #s(literal 5 binary64)) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal 5 binary64))))
#s(approx (- (pow N 3) 1) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (pow N 3) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ N (+ (* N N) (- 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N)) #s(literal 1 binary64)) N)))
#s(approx (/ N (+ (* N N) (- 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (+ (* N N) (- 1 N)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- 1 N) (*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 6) 1) (* (- (pow N 3) 1) (+ (* N N) (- 1 N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 7 binary64))) (neg.f64 N)) (*.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64)))))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (neg.f64 (*.f64 (pow.f64 N #s(literal 5 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 5 binary64)))))
#s(approx (* (- (pow N 3) 1) (+ (* N N) (- 1 N))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 5 binary64)))))
#s(approx (- (pow N 3) 1) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))))

eval96.0ms (2.5%)

Memory
-29.3MiB live, 62.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 16 803 to 2 059 computations (87.7% saved)

prune50.0ms (1.3%)

Memory
-2.0MiB live, 50.6MiB allocated; 8ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New50210512
Fresh8311
Picked235
Done000
Total51216528
Accuracy
99.8%
Counts
528 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
98.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
93.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N #s(approx (+ (* N N) (- 1 N)) (*.f64 N N))) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (-.f64 N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
77.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) #s(literal 2 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
93.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (- (+ (* N N) N) -1) (*.f64 N N)))
96.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N)))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))
77.2%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
Compiler

Compiled 1 213 to 424 computations (65% saved)

regimes17.0ms (0.4%)

Memory
28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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 N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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)) (+.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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) N) N) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.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 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (-.f64 N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 N N) (/.f64 N (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)))) N #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N #s(approx (+ (* N N) (- 1 N)) (*.f64 N N))) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N 3) -1) (/ N (+ (* N N) (- 1 N)))) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.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 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) #s(literal 2 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal 2 binary64))) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.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 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 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)))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
Calls

2 calls:

8.0ms
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)

regimes14.0ms (0.4%)

Memory
-35.7MiB live, 9.6MiB allocated; 8ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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 N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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)) (+.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:

2.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.5%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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 N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N)))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
96.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
96.5%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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 N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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
93.9%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
93.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* 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
7.8%1N
7.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

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

Compiled 8 to 7 computations (12.5% saved)

simplify40.0ms (1.1%)

Memory
-12.1MiB live, 33.3MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028123
144123
284123
3181111
4312105
5626105
64254105
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 (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) 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 (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))

derivations264.0ms (7%)

Memory
-9.8MiB live, 229.6MiB allocated; 27ms collecting garbage
Stop Event
fuel
Compiler

Compiled 123 to 30 computations (75.6% saved)

preprocess84.0ms (2.2%)

Memory
-3.9MiB live, 65.6MiB allocated; 72ms collecting garbage
Compiler

Compiled 276 to 82 computations (70.3% saved)

end0.0ms (0%)

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

Profiling

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