2atan (example 3.5)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB 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)

sample1.2s (42.4%)

Memory
58.5MiB live, 1 261.7MiB allocated; 266ms collecting garbage
Samples
821.0ms7 266×1valid
122.0ms806×2valid
8.0ms184×0valid
Precisions
Click to see histograms. Total time spent on operations: 741.0ms
ival-atan: 365.0ms (49.2% of total)
adjust: 267.0ms (36% of total)
ival-add!: 70.0ms (9.4% of total)
ival-sub!: 40.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain106.0ms (3.7%)

Memory
18.2MiB live, 109.8MiB allocated; 8ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-1(7.263352038147181)(-.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))cancellation2521
Confusion
Predicted +Predicted -
+2521
-03
Precision
1.0
Recall
0.9960474308300395
Confusion?
Predicted +Predicted MaybePredicted -
+25210
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
04
1252
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms452×1valid
13.0ms46×2valid
1.0ms14×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
adjust: 22.0ms (46.9% of total)
ival-atan: 20.0ms (42.7% of total)
ival-add!: 3.0ms (6.4% of total)
ival-sub!: 2.0ms (4.3% of total)

preprocess74.0ms (2.5%)

Memory
-47.4MiB live, 49.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series2.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Counts
6 → 10
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

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

rewrite56.0ms (1.9%)

Memory
3.8MiB live, 48.8MiB allocated; 4ms 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))))

eval4.0ms (0.2%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 669 to 182 computations (72.8% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New42143
Fresh000
Picked101
Done000
Total43144
Accuracy
17.3%
Counts
44 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(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
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Counts
7 → 15
Calls
Call 1
Inputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

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

rewrite74.0ms (2.6%)

Memory
5.1MiB live, 50.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049215
056207
1246179
02417176
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 113
Calls
Call 1
Inputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))
(*.f64 N (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) N))
(-.f64 N (*.f64 (neg.f64 N) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 N N N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(fma.f64 (*.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (neg.f64 N)) (fabs.f64 (neg.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N (*.f64 N N))
(fma.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N) (*.f64 N N))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 N N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 N N (-.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (fma.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 N N) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval15.0ms (0.5%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 697 to 465 computations (82.8% saved)

prune6.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1325137
Fresh000
Picked101
Done000
Total1335138
Accuracy
99.7%
Counts
138 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(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)))
17.3%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
17.3%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
5.1%
(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 174 to 108 computations (37.9% saved)

series17.0ms (0.6%)

Memory
-34.5MiB live, 13.5MiB allocated; 9ms collecting garbage
Counts
27 → 67
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) (/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))
(-.f64 N (*.f64 N N))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (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) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (- N (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (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 (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (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 N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (+ (* -1 N) (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (+ (* -1 N) (pow N 2)))))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
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) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))
3.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (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) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))
3.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (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) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))

rewrite210.0ms (7.3%)

Memory
12.6MiB live, 199.9MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881384
02311121
1839980
06988960
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
94 → 1 124
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) (/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))
(-.f64 N (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (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) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (- N (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (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 (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (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 N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (+ (* -1 N) (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (+ (* -1 N) (pow N 2)))))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N N) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) (-.f64 N (*.f64 N N)))) #s(literal 4 binary64)) #s(literal 2 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 #s(literal 2 binary64) (-.f64 N (*.f64 N N))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) #s(literal 2 binary64)))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) (*.f64 N N))
(*.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 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (-.f64 N (*.f64 N N))))
(*.f64 N (*.f64 N (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 N (*.f64 N N)))
(/.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 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 #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 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N 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))))
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#s(approx (* (- N (* N N)) 2) (*.f64 #s(literal 2 binary64) N))
#s(approx (* (- N (* N N)) 2) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
#s(approx (- N (* N N)) N)
#s(approx (- N (* N N)) (-.f64 N (*.f64 N N)))
#s(approx (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 (- N -1) N)
#s(approx (- N -1) (-.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 (+ (* (- (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) (pow N 4)) 2) (* (- N (* N N)) 2)) (*.f64 #s(literal -2 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (* N N) (pow N 4)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (* N N) (pow N 4)) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (- N (* N N)) 2) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
#s(approx (* (- N (* N N)) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N) N))
#s(approx (- N (* N N)) (*.f64 (neg.f64 N) N))
#s(approx (- N (* N N)) (*.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -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) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N N) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) (-.f64 N (*.f64 N N))))) #s(literal -1/2 binary64))))

eval216.0ms (7.5%)

Memory
0.3MiB live, 191.3MiB allocated; 43ms collecting garbage
Compiler

Compiled 33 522 to 3 586 computations (89.3% saved)

prune41.0ms (1.4%)

Memory
-4.8MiB live, 42.2MiB allocated; 2ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 092131 105
Fresh000
Picked415
Done000
Total1 096141 110
Accuracy
99.8%
Counts
1 110 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
99.6%
(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)))
99.3%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64))) (*.f64 N N)) (+.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -2 binary64)))) N #s(literal 1 binary64)))
77.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #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)))
99.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) N) N) N #s(literal 1 binary64)))
77.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
77.4%
(atan2.f64 #s(approx (- (- N -1) 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 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) N) N))
97.1%
(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)))
7.7%
(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))))
94.4%
(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 624 to 408 computations (34.6% saved)

series11.0ms (0.4%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Counts
30 → 107
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(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) (-.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))
#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)) (/.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 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
(fma.f64 N N N)
#s(literal 2 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64))
(-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
(*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)
(fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #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 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 N) N) 2) 1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 1))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* 2 N))) 1)))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) #s(hole binary64 (atan2 1 (+ 1 (* 2 (/ (- (pow N 2) (pow N 4)) (* N (+ 2 (* -2 N)))))))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (+ 1 (* N (+ 1 N))) N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (+ 1 (* N (+ 1 (* N (+ 1 N))))) N)))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* 2 N)))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (+ (* -2 N) 2) #s(hole binary64 2))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (+ 2 (* -2 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 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 (- 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 N) N) 2) 1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (pow N 4)))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -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 N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) #s(hole binary64 (atan2 1 (+ 1 (* 2 (/ (- (pow N 2) (pow N 4)) (* N (- 2 (* 2 N)))))))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ -1 (pow N 2))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) (pow N 2))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) (pow N 2))) (+ 1 (/ 1 N))) (pow N 2))))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (* -2 N)))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (* N (- (* 2 (/ 1 N)) 2))))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #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 N) N) 2) 1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) (pow N 2))))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (* -1 (* N (- 2 (* 2 (/ 1 N)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -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 N) N) 2) 1) (+ (* (- N -1) N) -1))) (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (- (pow (+ (* N N) N) 2) 1) (pow (+ (* N N) N) 2) (+ (* N N) N) 2 (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)
3.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -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 N) N) 2) 1) (+ (* (- N -1) N) -1))) (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (- (pow (+ (* N N) N) 2) 1) (pow (+ (* N N) N) 2) (+ (* N N) N) 2 (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)
2.0ms
N
@0
((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -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 N) N) 2) 1) (+ (* (- N -1) N) -1))) (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (- (pow (+ (* N N) N) 2) 1) (pow (+ (* N N) N) 2) (+ (* N N) N) 2 (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)

rewrite173.0ms (6%)

Memory
-6.3MiB live, 177.2MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02882158
03292030
113431849
086801836
Stop Event
iter-limit
node-limit
iter-limit
Counts
137 → 563
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(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) (-.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))
#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)) (/.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 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
(fma.f64 N N N)
#s(literal 2 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64))
(-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
(*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)
(fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64))
#s(literal -2 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #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 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 N) N) 2) 1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 1))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* 2 N))) 1)))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) #s(hole binary64 (atan2 1 (+ 1 (* 2 (/ (- (pow N 2) (pow N 4)) (* N (+ 2 (* -2 N)))))))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (+ 1 (* N (+ 1 N))) N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (+ 1 (* N (+ 1 (* N (+ 1 N))))) N)))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* 2 N)))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (+ (* -2 N) 2) #s(hole binary64 2))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (+ 2 (* -2 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 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 (- 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 N) N) 2) 1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (pow N 4)))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (+ (* N N) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -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 N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) #s(hole binary64 (atan2 1 (+ 1 (* 2 (/ (- (pow N 2) (pow N 4)) (* N (- 2 (* 2 N)))))))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ -1 (pow N 2))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) (pow N 2))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) (pow N 2))) (+ 1 (/ 1 N))) (pow N 2))))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (+ (* -2 N) 2) N) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (* -2 N)))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (* N (- (* 2 (/ 1 N)) 2))))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #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 N) N) 2) 1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) (pow N 2))))
#s(approx (+ (* -2 N) 2) #s(hole binary64 (* -1 (* N (- 2 (* 2 (/ 1 N)))))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#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 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 (neg.f64 N) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) (*.f64 (neg.f64 N) #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) (*.f64 #s(literal -1 binary64) (neg.f64 N)) (-.f64 N #s(literal -1 binary64)))
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(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (neg.f64 N) (neg.f64 N) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(fma.f64 N N (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (pow.f64 N #s(literal 4 binary64)))) (/.f64 (pow.f64 N #s(literal 8 binary64)) (fma.f64 N N (pow.f64 N #s(literal 4 binary64)))))
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(-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
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(*.f64 (*.f64 N (fabs.f64 N)) (*.f64 N (fabs.f64 N)))
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(*.f64 (*.f64 N N) (*.f64 N N))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 2 binary64))
(pow.f64 N #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal 4 binary64) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 N) #s(literal 2 binary64) (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal 4 binary64))))
#s(literal 4 binary64)
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(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64))) N)
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 N) (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
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(*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)
(*.f64 N (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) N) N) (*.f64 (*.f64 #s(literal -2 binary64) N) N))) (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal -2 binary64) N) N)))
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(fma.f64 #s(literal 2 binary64) N (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 #s(literal 2 binary64) N (*.f64 N (*.f64 #s(literal -2 binary64) N)))
(fma.f64 N #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 N #s(literal 2 binary64) (*.f64 N (*.f64 #s(literal -2 binary64) N)))
(-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal 2 binary64) N) N))
(-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (neg.f64 N) (*.f64 #s(literal -2 binary64) N)))
(+.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal -2 binary64) N) N))
(+.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 N (*.f64 #s(literal -2 binary64) N)))
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(fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64))
(fma.f64 N #s(literal -2 binary64) #s(literal 2 binary64))
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(-.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 N N) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))))) (/.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 N N) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))))))
(-.f64 (*.f64 #s(literal -2 binary64) N) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) #s(literal -2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 3 binary64)) (fma.f64 (*.f64 N N) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 N N) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) N))
#s(literal -2 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (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 N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N 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 N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(literal 1 binary64))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) 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 (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- N -1) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (- N -1) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N 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 N) N) 2) 1) (+ (* (- N -1) N) -1)) #s(literal 1 binary64))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow (+ (* N N) N) 2) 1) #s(literal -1 binary64))
#s(approx (- (pow (+ (* N N) N) 2) 1) (fma.f64 N N #s(literal -1 binary64)))
#s(approx (- (pow (+ (* N N) N) 2) 1) (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)))
#s(approx (- (pow (+ (* N N) N) 2) 1) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)))
#s(approx (pow (+ (* N N) N) 2) (*.f64 N N))
#s(approx (pow (+ (* N N) N) 2) (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (pow (+ (* N N) N) 2) (*.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* N N) N) N)
#s(approx (+ (* N N) N) (fma.f64 N 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 N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (* N N) (pow N 4)) (*.f64 N N))
#s(approx (- (* N N) (pow N 4)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow N 4) (pow.f64 N #s(literal 4 binary64)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) N))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) N #s(literal 1 binary64)) N))
#s(approx (* (+ (* -2 N) 2) N) (*.f64 #s(literal 2 binary64) N))
#s(approx (* (+ (* -2 N) 2) N) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
#s(approx (+ (* -2 N) 2) #s(literal 2 binary64))
#s(approx (+ (* -2 N) 2) (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)))
#s(approx (+ (+ (* N N) 1) N) (*.f64 N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N))
#s(approx (+ (+ (* N N) 1) N) (*.f64 (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (+ (* 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) (+ (* (- (pow N -1) -1) (* N 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 N) N) 2) 1) (+ (* (- N -1) N) -1)) (*.f64 N N))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (fma.f64 N N N))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (*.f64 (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))) (*.f64 N N)))
#s(approx (- N -1) N)
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (fma.f64 N N 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 -1) -1) (* N 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 N) N) 2) 1) (+ (* (- N -1) N) -1)) (*.f64 N N))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (fma.f64 N N N))
#s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- 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 N) N) 2) 1) (pow.f64 N #s(literal 4 binary64)))
#s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 N #s(literal -4 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow (+ (* N N) N) 2) (pow.f64 N #s(literal 4 binary64)))
#s(approx (pow (+ (* N N) N) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow (+ (* N N) N) 2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* N N) N) (*.f64 N N))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#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) (*.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 (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (*.f64 N N))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (fma.f64 N N N))
#s(approx (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) 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 N) (pow N 4)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (* N N) (pow N 4)) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64)))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64)))) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (* (+ (* -2 N) 2) N) (*.f64 (*.f64 N N) #s(literal -2 binary64)))
#s(approx (* (+ (* -2 N) 2) N) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (*.f64 N N)))
#s(approx (+ (* -2 N) 2) (*.f64 #s(literal -2 binary64) N))
#s(approx (+ (* -2 N) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (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 -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N (*.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal -1 binary64)))))
#s(approx (- (pow (+ (* N N) N) 2) 1) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) #s(literal -1 binary64) #s(literal -2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (- N -1) N) -1) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))) N) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (+ (* -2 N) 2) (*.f64 (neg.f64 N) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) N))))

eval82.0ms (2.9%)

Memory
21.6MiB live, 109.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 17 979 to 2 549 computations (85.8% saved)

prune25.0ms (0.9%)

Memory
-16.1MiB live, 39.1MiB allocated; 9ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New5949603
Fresh538
Picked235
Done011
Total60116617
Accuracy
99.8%
Counts
617 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
99.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)))
99.6%
(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)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
77.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
99.5%
(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)))
77.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 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 #s(literal 2 binary64) N)) (*.f64 #s(literal 2 binary64) N)))
71.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
97.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) N) N))
97.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (fma.f64 N N N)))
94.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) N) -1)) (*.f64 N N)))
7.7%
(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))))
7.7%
(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)))
Compiler

Compiled 1 000 to 374 computations (62.6% saved)

regimes15.0ms (0.5%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Counts
29 → 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 (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (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)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) N) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N)) (*.f64 #s(literal 2 binary64) N)))
(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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (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)) (/.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))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.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 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64))) (*.f64 N N)) (+.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -2 binary64)))) N #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)))
Calls

2 calls:

7.0ms
N
5.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.5%)

Memory
-24.5MiB live, 21.8MiB allocated; 2ms collecting garbage
Counts
23 → 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 (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (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)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) N) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N)) (*.f64 #s(literal 2 binary64) N)))
(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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 #s(approx (- (pow (+ (* N N) N) 2) 1) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (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)) (/.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))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
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)))
Calls

2 calls:

6.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (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 (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Calls

2 calls:

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

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
8 → 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 (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
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:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
97.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
97.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.2%)

Memory
-38.0MiB live, 7.5MiB allocated; 3ms 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 (/ (- (pow (+ (* N N) N) 2) 1) (+ (* (- N -1) 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:

4.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms
N
Results
AccuracySegmentsBranch
94.4%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
94.4%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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
7.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB 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
7.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations380.0ms (13.2%)

Memory
91.8MiB live, 287.3MiB allocated; 47ms collecting garbage
Stop Event
fuel
Compiler

Compiled 143 to 36 computations (74.8% saved)

preprocess114.0ms (4%)

Memory
-80.1MiB live, 74.9MiB allocated; 137ms collecting garbage
Compiler

Compiled 336 to 108 computations (67.9% saved)

end0.0ms (0%)

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

Profiling

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