2atan (example 3.5)

Time bar (total: 12.4s)

analyze2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.0s (16.3%)

Memory
26.9MiB live, 2 310.0MiB allocated
Samples
1.5s7 266×1valid
164.0ms703×2valid
20.0ms287×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-atan: 689.0ms (49.4% of total)
ival-add: 152.0ms (10.9% of total)
adjust: 151.0ms (10.8% of total)
const: 139.0ms (10% of total)
ival-sub: 124.0ms (8.9% of total)
ival->: 79.0ms (5.7% of total)
ival-<: 24.0ms (1.7% of total)
ival-and: 20.0ms (1.4% of total)
exact: 12.0ms (0.9% of total)
ival-assert: 6.0ms (0.4% of total)
Bogosity

preprocess26.0ms (0.2%)

Memory
-13.1MiB live, 30.9MiB allocated
Algorithm
egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
74×sub-neg
48×*-lowering-*.f32
48×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12524
25123
39023
414523
521423
626823
729923
834223
935723
1036523
067
1117
2157
3217
4297
5447
6767
71017
81437
91587
101667
01667
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (atan (+ N 1)) (atan N))
Outputs
(- (atan (+ N 1)) (atan N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Call 2
Inputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))
Outputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(- (atan (- 1 N)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))
(- (atan (neg N)) (atan (- 1 N)))

explain169.0ms (1.4%)

Memory
7.5MiB live, 123.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2541(9.156093261470856)0-(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-N
00-0-(+.f64 N #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))cancellation2550
Confusion
Predicted +Predicted -
+2540
-11
Precision
0.996078431372549
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-101
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms436×1valid
8.0ms48×2valid
2.0ms28×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-atan: 46.0ms (70.4% of total)
adjust: 8.0ms (12.2% of total)
ival-add: 5.0ms (7.7% of total)
ival-sub: 5.0ms (7.7% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.0%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff0
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11118
21518
32118
42918
54418
67618
710118
814318
915818
1016618
016618
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (atan (+ N 1)) (atan N))
(atan (+ N 1))
(+ N 1)
N
1
(atan N)
Outputs
(- (atan (+ N 1)) (atan N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan (+ N 1))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+ N 1)
(+.f64 N #s(literal 1 binary64))
N
1
#s(literal 1 binary64)
(atan N)
(atan.f64 N)

localize44.0ms (0.4%)

Memory
-7.6MiB live, 71.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 N #s(literal 1 binary64))
accuracy100.0%
(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy100.0%
(atan.f64 N)
accuracy11.0%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Samples
28.0ms218×1valid
4.0ms24×2valid
2.0ms14×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-atan: 10.0ms (43.6% of total)
adjust: 7.0ms (30.5% of total)
ival-add: 3.0ms (13.1% of total)
ival-sub: 2.0ms (8.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (atan (+ N 1)) (atan N))>
#<alt (atan (+ N 1))>
#<alt (+ N 1)>
#<alt (atan N)>
Outputs
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
Calls

12 calls:

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

rewrite366.0ms (2.9%)

Memory
-13.0MiB live, 498.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 024×*-lowering-*.f32
4 024×*-lowering-*.f64
3 876×/-lowering-/.f32
3 876×/-lowering-/.f64
3 196×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14016
228016
3288016
0833816
Stop Event
iter limit
node limit
Counts
4 → 239
Calls
Call 1
Inputs
(- (atan (+ N 1)) (atan N))
(atan (+ N 1))
(+ N 1)
(atan N)
Outputs
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (atan.f64 N)))
(+.f64 (-.f64 #s(literal 0 binary64) (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)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 #s(literal 0 binary64) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(-.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 0 binary64)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
(fma.f64 (atan.f64 N) #s(literal -1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))) (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))
(*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N))))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(atan.f64 N)
(pow.f64 (atan.f64 N) #s(literal 1 binary64))

simplify40.0ms (0.3%)

Memory
-1.2MiB live, 36.7MiB allocated
Algorithm
egg-herbie
Rules
192×accelerator-lowering-fma.f32
192×accelerator-lowering-fma.f64
128×*-lowering-*.f32
128×*-lowering-*.f64
96×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014186
134186
244186
389186
4189186
5335186
6381186
7420186
8475186
9490186
10498186
0498186
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
Outputs
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)

eval69.0ms (0.6%)

Memory
0.3MiB live, 76.5MiB allocated
Compiler

Compiled 10 071 to 921 computations (90.9% saved)

prune35.0ms (0.3%)

Memory
29.2MiB live, 105.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2798287
Fresh000
Picked101
Done000
Total2808288
Accuracy
99.8%
Counts
288 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
99.4%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.4%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
99.2%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.5%
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
99.3%
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
Compiler

Compiled 688 to 222 computations (67.7% saved)

simplify519.0ms (4.2%)

Memory
-55.2MiB live, 591.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff0
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
cost-diff256
(-.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff0
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff0
(+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
cost-diff53760
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
cost-diff0
(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff14592
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff14464
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(*.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
Rules
7 346×accelerator-lowering-fma.f32
7 346×accelerator-lowering-fma.f64
6 496×*-lowering-*.f32
6 496×*-lowering-*.f64
3 656×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032612
188592
2211592
3479592
41362592
53973592
64406592
75014592
85491592
95520592
105520592
117632592
127691592
137696592
147696592
157696592
010332526
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(atan2 1 (+ 1 (* N (+ N 1))))
1
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
N
(+ N 1)
1
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
1
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
N
(+ N 1)
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))))
(+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(pow (atan (+ N 1)) 2)
(atan (+ N 1))
(+ N 1)
N
1
2
(* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan N)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))))
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3)))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
1
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(- 1 (* N (+ N 1)))
(+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))
(pow (atan (+ N 1)) 3)
(atan (+ N 1))
3
(pow (atan N) 3)
(atan N)
(+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1))))))
(pow (atan (+ N 1)) 2)
2
(* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))
(atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1))))
(- N (+ N 1))
Outputs
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ N (+ N 1))
(-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64)))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(- 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
1
#s(literal 1 binary64)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ N (+ N 1))
(-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64)))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(- 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan.f64 N)))
(pow (atan (+ N 1)) 2)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(atan (+ N 1))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
N
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(*.f64 (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan.f64 N))
(atan N)
(atan.f64 N)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ N (+ N 1))
(-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64)))
(- 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan.f64 N))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (*.f64 (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3)))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(+ N (+ N 1))
(-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -2 binary64)))
(- 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))
(+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(pow (atan (+ N 1)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(atan (+ N 1))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
3
#s(literal 3 binary64)
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(atan N)
(atan.f64 N)
(+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1))))))
(+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))))
(pow (atan (+ N 1)) 2)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))
(*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(- N (+ N 1))
#s(literal -1 binary64)

localize444.0ms (3.6%)

Memory
11.1MiB live, 415.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
accuracy98.5%
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))
accuracy98.5%
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
accuracy21.3%
(-.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.5%
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
accuracy99.4%
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
accuracy98.6%
(+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.4%
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
accuracy100.0%
(*.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.6%
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
accuracy100.0%
(+.f64 N #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy100.0%
(*.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
Samples
179.0ms166×1valid
46.0ms90×0valid
Compiler

Compiled 720 to 34 computations (95.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-div: 50.0ms (38.9% of total)
adjust: 22.0ms (17.1% of total)
ival-mult: 17.0ms (13.2% of total)
ival-add: 12.0ms (9.3% of total)
ival-atan2: 8.0ms (6.2% of total)
ival-pow: 6.0ms (4.7% of total)
ival-atan: 5.0ms (3.9% of total)
ival-sub: 4.0ms (3.1% of total)
ival-pow2: 4.0ms (3.1% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.4%)

Memory
-30.4MiB live, 45.8MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (atan2 1 (+ 1 (* N (+ N 1))))>
#<alt (+ 1 (* N (+ N 1)))>
#<alt (* N (+ N 1))>
#<alt (+ N 1)>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))>
#<alt (+ N (+ N 1))>
#<alt (* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (* (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))))>
#<alt (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (pow (atan (+ N 1)) 2)>
#<alt (atan (+ N 1))>
#<alt (- N (+ N 1))>
#<alt (* (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3)))>
#<alt (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))))>
#<alt (pow (atan N) 3)>
#<alt (pow (atan (+ N 1)) 3)>
Outputs
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (+ 1 N)) 2)>
#<alt (pow (atan (- 1 (* -1 N))) 2)>
#<alt (pow (atan (- 1 (* -1 N))) 2)>
#<alt (pow (atan (- 1 (* -1 N))) 2)>
#<alt (pow (atan (- 1 (* -1 N))) 2)>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan N) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (+ 1 N)) 3)>
#<alt (pow (atan (- 1 (* -1 N))) 3)>
#<alt (pow (atan (- 1 (* -1 N))) 3)>
#<alt (pow (atan (- 1 (* -1 N))) 3)>
#<alt (pow (atan (- 1 (* -1 N))) 3)>
Calls

63 calls:

TimeVariablePointExpression
25.0ms
N
@inf
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
4.0ms
N
@0
(* (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))))
3.0ms
N
@-inf
(* (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))))
3.0ms
N
@inf
(* (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))))
1.0ms
N
@-inf
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))

rewrite1.4s (11.5%)

Memory
27.3MiB live, 2 003.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 322×/-lowering-/.f32
5 322×/-lowering-/.f64
4 324×accelerator-lowering-fma.f32
4 324×accelerator-lowering-fma.f64
4 098×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032367
1207273
21781217
08771203
Stop Event
iter limit
node limit
Counts
21 → 2 086
Calls
Call 1
Inputs
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
(+ N 1)
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(* (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))))
(+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(pow (atan (+ N 1)) 2)
(atan (+ N 1))
(- N (+ N 1))
(* (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))))
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (+ (pow (atan (+ N 1)) 3) (pow (atan N) 3)))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (+ (pow (atan (+ N 1)) 2) (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))))
(pow (atan N) 3)
(pow (atan (+ N 1)) 3)
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (*.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (*.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 3/2 binary64)) (*.f64 (log.f64 (atan.f64 N)) #s(literal 3/2 binary64))))
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (atan.f64 N)))
(*.f64 (atan.f64 N) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan.f64 N))
(*.f64 (pow.f64 (atan.f64 N) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 N) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3/2 binary64))))
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))

simplify327.0ms (2.6%)

Memory
41.4MiB live, 836.4MiB allocated
Algorithm
egg-herbie
Rules
8 822×accelerator-lowering-fma.f32
8 822×accelerator-lowering-fma.f64
3 338×*-lowering-*.f32
3 338×*-lowering-*.f64
1 634×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0853564
11953520
24233520
39503520
435393520
566773520
082243146
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2))
(pow (atan (+ 1 N)) 2)
(pow (atan (+ 1 N)) 2)
(pow (atan (+ 1 N)) 2)
(pow (atan (+ 1 N)) 2)
(pow (atan (+ 1 N)) 2)
(pow (atan (+ 1 N)) 2)
(pow (atan (+ 1 N)) 2)
(pow (atan (+ 1 N)) 2)
(pow (atan (- 1 (* -1 N))) 2)
(pow (atan (- 1 (* -1 N))) 2)
(pow (atan (- 1 (* -1 N))) 2)
(pow (atan (- 1 (* -1 N))) 2)
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(/ (* (+ (* (atan N) (atan2 -1 (+ 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)) (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (+ (pow (atan N) 3) (pow (atan (+ 1 N)) 3)))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (+ (pow (atan N) 3) (pow (atan (- 1 (* -1 N))) 3)))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan N) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (+ 1 N)) 3)
(pow (atan (- 1 (* -1 N))) 3)
(pow (atan (- 1 (* -1 N))) 3)
(pow (atan (- 1 (* -1 N))) 3)
(pow (atan (- 1 (* -1 N))) 3)
Outputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
N
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* 2 N)
(*.f64 N #s(literal 2 binary64))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* 2 N)
(*.f64 N #s(literal 2 binary64))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
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(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan N) 3)
(pow.f64 (atan.f64 N) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (+ 1 N)) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (- 1 (* -1 N))) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (- 1 (* -1 N))) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (- 1 (* -1 N))) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow (atan (- 1 (* -1 N))) 3)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))

eval1.1s (9.1%)

Memory
-129.2MiB live, 1 931.1MiB allocated
Compiler

Compiled 333 701 to 6 518 computations (98% saved)

prune484.0ms (3.9%)

Memory
22.3MiB live, 1 103.1MiB allocated
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New4 739284 767
Fresh213
Picked325
Done000
Total4 744314 775
Accuracy
100.0%
Counts
4 775 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))))
76.8%
(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
52.8%
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))))
94.6%
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
91.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
6.5%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
99.4%
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
99.3%
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
99.4%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
98.5%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
76.8%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
76.8%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
98.7%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))))
99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
91.2%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.4%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (exp.f64 (neg.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))))
99.3%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
91.1%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
Compiler

Compiled 1 966 to 827 computations (57.9% saved)

simplify467.0ms (3.8%)

Memory
-7.6MiB live, 779.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))
cost-diff512
(/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)))
cost-diff14464
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff14464
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff0
(*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))))
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 N N)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
Rules
15 236×accelerator-lowering-fma.f32
15 236×accelerator-lowering-fma.f64
4 080×*-lowering-*.f32
4 080×*-lowering-*.f64
1 524×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034354
191332
2201330
3588316
42734316
56627316
08521283
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(atan2 1 (+ (+ 1 (* N N)) N))
1
(+ (+ 1 (* N N)) N)
(+ 1 (* N N))
(* N N)
N
(atan2 1 1)
1
(atan2 1 (+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))))
1
(+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))))
(* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))
N
(* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))
(+ 1 (* N (* N N)))
(* N (* N N))
(* N N)
(/ 1 (+ (* N N) (- 1 N)))
(+ (* N N) (- 1 N))
(- 1 N)
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
1
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(- 1 (* N (+ N 1)))
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
N
(+ N 1)
1
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(/ (atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N))))))
(+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))
(/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N))))
(/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))
(- (* N N) N)
(* N N)
(- (* (* N N) (* N N)) (* N N))
(* (* N N) (* N N))
Outputs
(atan2 1 (+ (+ 1 (* N N)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(+ (+ 1 (* N N)) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+ 1 (* N N))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(* N N)
(*.f64 N N)
N
(atan2 1 1)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(atan2 1 (+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))
(* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))
(/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))
N
(* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(+ 1 (* N (* N N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))
(* N (* N N))
(*.f64 N (*.f64 N N))
(* N N)
(*.f64 N N)
(/ 1 (+ (* N N) (- 1 N)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(+ (* N N) (- 1 N))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))
(- 1 N)
(-.f64 #s(literal 1 binary64) N)
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(- 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(- 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(/ (atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N))))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(- (* N N) N)
(*.f64 N (+.f64 N #s(literal -1 binary64)))
(* N N)
(*.f64 N N)
(- (* (* N N) (* N N)) (* N N))
(*.f64 N (*.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))
(* (* N N) (* N N))
(*.f64 N (*.f64 N (*.f64 N N)))

localize165.0ms (1.3%)

Memory
-2.1MiB live, 268.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))
accuracy99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
accuracy99.4%
(*.f64 (*.f64 N N) (*.f64 N N))
accuracy76.9%
(/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)))
accuracy100.0%
(*.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.5%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.4%
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.6%
(*.f64 N (*.f64 N N))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))))
accuracy99.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
accuracy100.0%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 N N)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy99.9%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
Samples
76.0ms255×0valid
2.0ms5exit
Compiler

Compiled 488 to 36 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-add: 19.0ms (32.1% of total)
ival-mult: 17.0ms (28.8% of total)
ival-atan2: 9.0ms (15.2% of total)
ival-div: 8.0ms (13.5% of total)
ival-sub: 4.0ms (6.8% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
0.1MiB live, 37.5MiB allocated
Counts
21 → 240
Calls
Call 1
Inputs
#<alt (atan2 1 (+ (+ 1 (* N N)) N))>
#<alt (+ (+ 1 (* N N)) N)>
#<alt (+ 1 (* N N))>
#<alt (* N N)>
#<alt (atan2 1 1)>
#<alt (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))>
#<alt (atan2 1 (+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))))>
#<alt (+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))))>
#<alt (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (atan2 1 (+ 1 (* N (+ N 1))))>
#<alt (+ 1 (* N (+ N 1)))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))>
#<alt (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N))))>
#<alt (- (* (* N N) (* N N)) (* N N))>
#<alt (/ 1 (+ (* N N) (- 1 N)))>
#<alt (* N (* N N))>
#<alt (* N (+ N 1))>
#<alt (* (* N N) (* N N))>
Outputs
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (* -1 N)) N)>
#<alt (/ (+ 1 (* N (- N 1))) N)>
#<alt (/ (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) N)>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 (* -1 (pow N 2)))))>
#<alt (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 2))>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
Calls

60 calls:

TimeVariablePointExpression
4.0ms
N
@inf
(* N N)
3.0ms
N
@-inf
(atan2 1 (+ (+ 1 (* N N)) N))
0.0ms
N
@0
(/ 1 (+ (* N N) (- 1 N)))
0.0ms
N
@inf
(/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N))))
0.0ms
N
@-inf
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))

rewrite452.0ms (3.6%)

Memory
-12.4MiB live, 770.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 576×accelerator-lowering-fma.f32
5 576×accelerator-lowering-fma.f64
4 046×/-lowering-/.f32
4 046×/-lowering-/.f64
3 824×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034255
1240151
22247151
08452134
Stop Event
iter limit
node limit
Counts
21 → 945
Calls
Call 1
Inputs
(atan2 1 (+ (+ 1 (* N N)) N))
(+ (+ 1 (* N N)) N)
(+ 1 (* N N))
(* N N)
(atan2 1 1)
(* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))
(atan2 1 (+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))))
(+ 1 (* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N))))))
(* N (* (+ 1 (* N (* N N))) (/ 1 (+ (* N N) (- 1 N)))))
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N)))
(/ 1 (/ (- (* N N) N) (- (* (* N N) (* N N)) (* N N))))
(- (* (* N N) (* N N)) (* N N))
(/ 1 (+ (* N N) (- 1 N)))
(* N (* N N))
(* N (+ N 1))
(* (* N N) (* N N))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (/.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (*.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 (/.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (*.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 N #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (*.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 N N))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) N)
(fma.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 N N))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N))) N)
(fma.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 N N) N) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (*.f64 N N))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (*.f64 N N))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 N N) N))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 N N) N))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
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(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (-.f64 (*.f64 N N) N))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (-.f64 (*.f64 N N) N) (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 N N) N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))
(/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (*.f64 (-.f64 (*.f64 N N) N) (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 N N) N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (neg.f64 (*.f64 (-.f64 (*.f64 N N) N) (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (neg.f64 (*.f64 (-.f64 (*.f64 N N) N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)))))
(/.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 N (*.f64 N N))) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(/.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)))
(/.f64 (*.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (-.f64 (*.f64 N N) N))
(/.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) N)) (*.f64 (-.f64 (*.f64 N N) N) (*.f64 N N))) (*.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 N N) N)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 N (*.f64 N N)))) (neg.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))) (neg.f64 (*.f64 (-.f64 (*.f64 N N) N) (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))) (neg.f64 (*.f64 (-.f64 (*.f64 N N) N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)))))
(/.f64 (neg.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))) (neg.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))
(/.f64 (neg.f64 (*.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (+.f64 (*.f64 N N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) (*.f64 N N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) (*.f64 N N)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))) (*.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))
(pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) N))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(*.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 N N) N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(*.f64 (pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(*.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (*.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 N N) N))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 N N) N))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 N N) N))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 (*.f64 N (*.f64 N N)) (-.f64 (*.f64 N (*.f64 N N)) #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 N N) N) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 4 binary64)))
(pow.f64 N #s(literal 4 binary64))
(pow.f64 (*.f64 N N) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N)))
(*.f64 N (*.f64 N (*.f64 N N)))
(*.f64 (*.f64 N N) (*.f64 N N))
(*.f64 (*.f64 N (*.f64 N N)) N)
(*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))

simplify424.0ms (3.4%)

Memory
18.2MiB live, 582.7MiB allocated
Algorithm
egg-herbie
Rules
13 086×accelerator-lowering-fma.f32
13 086×accelerator-lowering-fma.f64
3 892×*-lowering-*.f32
3 892×*-lowering-*.f64
2 162×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01372117
13571940
27231851
328751817
082901647
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
1
(+ 1 (pow N 2))
(+ 1 (pow N 2))
(+ 1 (pow N 2))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (- (pow N 2) N))) (/ (pow N 2) (- (pow N 2) N))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ (* -1 N) (pow N 2)))) (/ (pow N 2) (+ (* -1 N) (pow N 2)))))
(/ 1 N)
(/ (+ 1 (* -1 N)) N)
(/ (+ 1 (* N (- N 1))) N)
(/ (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) N)
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) (pow N 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) (pow N 2))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* -1 (pow N 2))
(* (pow N 2) (- (pow N 2) 1))
(* (pow N 2) (- (pow N 2) 1))
(* (pow N 2) (- (pow N 2) 1))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
(* (pow N 4) (- 1 (/ 1 (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 (* -1 (pow N 2)))))
(+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 2))
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(+ 1 (* N (+ 1 N)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
1
#s(literal 1 binary64)
(+ 1 (pow N 2))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(+ 1 (pow N 2))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(+ 1 (pow N 2))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(+ 1 (* N (+ 1 N)))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))
N
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
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N
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eval248.0ms (2%)

Memory
-12.9MiB live, 417.3MiB allocated
Compiler

Compiled 81 250 to 4 708 computations (94.2% saved)

prune206.0ms (1.7%)

Memory
38.9MiB live, 391.0MiB allocated
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New1 707121 719
Fresh51924
Picked325
Done022
Total1 715351 750
Accuracy
100.0%
Counts
1 750 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))))) N))
53.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N))
94.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
76.7%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) N))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
90.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))
94.6%
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
91.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
6.5%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
99.4%
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
99.3%
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
76.7%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
76.8%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
94.6%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
91.0%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 N N)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
98.5%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
72.0%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (*.f64 N (*.f64 N (*.f64 N N))))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
98.7%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))))
99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
91.2%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.4%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (exp.f64 (neg.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))))
99.3%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
91.1%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
Compiler

Compiled 2 040 to 868 computations (57.5% saved)

simplify297.0ms (2.4%)

Memory
-52.0MiB live, 341.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
cost-diff14592
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)
cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
cost-diff0
(*.f64 N N)
cost-diff0
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff0
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
cost-diff14464
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
Rules
6 436×accelerator-lowering-fma.f32
6 436×accelerator-lowering-fma.f64
3 382×*-lowering-*.f32
3 382×*-lowering-*.f64
1 102×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036654
193654
2204506
3357506
4656506
51630506
62627506
74064506
85236506
95901506
106648506
117965506
08150446
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))
1
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(+ 1 (* 2 N))
(* 2 N)
2
N
(- 1 (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
(+ N 1)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(- 1 (* N (+ N 1)))
(atan2 1 (* N N))
1
(* N N)
N
(atan2 1 (+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))))
1
(+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N))))
(/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))
(* (+ 1 (* N (* N N))) N)
(+ 1 (* N (* N N)))
(* N (* N N))
N
(* N N)
(+ (* N N) (- 1 N))
(- 1 N)
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
N
(+ N 1)
1
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(atan2 1 (- 1 (* N (+ N 1))))
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
1
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
N
(+ N 1)
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(+ 1 (* 2 N))
(* 2 N)
2
(- 1 (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)
Outputs
(* (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(* 2 N)
(*.f64 #s(literal 2 binary64) N)
2
#s(literal 2 binary64)
N
(- 1 (* N (+ 1 N)))
(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(- 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (* N N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
1
#s(literal 1 binary64)
(* N N)
(*.f64 N N)
N
(atan2 1 (+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))
(/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))
(/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(* (+ 1 (* N (* N N))) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(+ 1 (* N (* N N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))
(* N (* N N))
(*.f64 N (*.f64 N N))
N
(* N N)
(*.f64 N N)
(+ (* N N) (- 1 N))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))
(- 1 N)
(-.f64 #s(literal 1 binary64) N)
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(- 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
1
#s(literal 1 binary64)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(- 1 (* N (+ N 1)))
(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))))
(*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ 1 (* N (+ N 1)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(* 2 N)
(*.f64 #s(literal 2 binary64) N)
2
#s(literal 2 binary64)
(- 1 (* N (+ 1 N)))
(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)

localize177.0ms (1.4%)

Memory
23.4MiB live, 259.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.4%
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
accuracy100.0%
(*.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.6%
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
accuracy99.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)
accuracy99.6%
(*.f64 N (*.f64 N N))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
accuracy76.8%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
accuracy100.0%
(*.f64 N N)
accuracy99.6%
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
accuracy99.6%
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
Samples
85.0ms256×0valid
Compiler

Compiled 606 to 38 computations (93.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-atan2: 27.0ms (42.9% of total)
ival-mult: 13.0ms (20.6% of total)
ival-div: 10.0ms (15.9% of total)
ival-add: 9.0ms (14.3% of total)
ival-sub: 3.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-19.9MiB live, 19.3MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 1 (* N N))>
#<alt (* N N)>
#<alt (atan2 1 (+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))))>
#<alt (+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N))))>
#<alt (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))>
#<alt (* (+ 1 (* N (* N N))) N)>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))>
#<alt (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))>
#<alt (+ N (+ N 1))>
#<alt (+ N 1)>
#<alt (* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))))>
#<alt (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (atan2 1 (+ 1 (* N (+ N 1))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (* N (* N N))>
#<alt (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1)))))>
#<alt (* N (+ N 1))>
#<alt (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))))>
Outputs
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (pow N 3)))>
#<alt (* N (+ 1 (pow N 3)))>
#<alt (* N (+ 1 (pow N 3)))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 4) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 4) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 4) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 4) (+ 1 (/ 1 (pow N 3))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))>
Calls

66 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
(+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N))))
1.0ms
N
@-inf
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
1.0ms
N
@inf
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
1.0ms
N
@0
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
1.0ms
N
@-inf
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1)))))

rewrite431.0ms (3.5%)

Memory
40.0MiB live, 664.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 344×*-lowering-*.f32
5 344×*-lowering-*.f64
4 756×/-lowering-/.f32
4 756×/-lowering-/.f64
3 972×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036388
1235356
21910244
09025214
Stop Event
iter limit
node limit
Counts
22 → 977
Calls
Call 1
Inputs
(* (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 1 (* N N))
(* N N)
(atan2 1 (+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))))
(+ 1 (/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N))))
(/ (* (+ 1 (* N (* N N))) N) (+ (* N N) (- 1 N)))
(* (+ 1 (* N (* N N))) N)
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(+ N 1)
(* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(* N (* N N))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1)))))
(* N (+ N 1))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (neg.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64))))

simplify312.0ms (2.5%)

Memory
-34.4MiB live, 528.1MiB allocated
Algorithm
egg-herbie
Rules
8 492×accelerator-lowering-fma.f32
8 492×accelerator-lowering-fma.f64
3 644×*-lowering-*.f32
3 644×*-lowering-*.f64
1 546×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0843086
12012964
23732964
311332964
451152964
081892617
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(atan2 1 (pow N 2))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
N
(* N (+ 1 (pow N 3)))
(* N (+ 1 (pow N 3)))
(* N (+ 1 (pow N 3)))
(pow N 4)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(pow N 4)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
Outputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
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(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
N
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))

eval562.0ms (4.5%)

Memory
51.3MiB live, 709.0MiB allocated
Compiler

Compiled 139 999 to 5 546 computations (96% saved)

prune445.0ms (3.6%)

Memory
-32.8MiB live, 547.0MiB allocated
Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New2 914172 931
Fresh121426
Picked325
Done044
Total2 929372 966
Accuracy
100.0%
Counts
2 966 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))))) N))
53.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N))
94.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
76.7%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N)))) (-.f64 N (*.f64 N N)))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
76.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) N))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
90.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))
94.6%
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
91.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
6.5%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
91.2%
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
99.4%
(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
76.8%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
94.6%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
91.2%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
98.6%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
91.1%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
91.1%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
99.5%
(*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
90.8%
(*.f64 (/.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
98.7%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
91.1%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
91.1%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
99.4%
(*.f64 (exp.f64 (log.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
Compiler

Compiled 3 272 to 758 computations (76.8% saved)

regimes68.0ms (0.6%)

Memory
-1.6MiB live, 37.4MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N)))) (-.f64 N (*.f64 N N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))))) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(*.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 N N)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (*.f64 N (*.f64 N (*.f64 N N))))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) #s(literal -1 binary64))))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(*.f64 (exp.f64 (log.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (exp.f64 (neg.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
Calls

2 calls:

51.0ms
N
14.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.5%1N
99.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
Outputs
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
Calls

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
94.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
Outputs
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
Calls

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
91.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
N
Results
AccuracySegmentsBranch
6.5%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
11824
Stop Event
saturated
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness913.0ms (7.4%)

Memory
-11.6MiB live, 773.5MiB allocated
Rules
8 822×accelerator-lowering-fma.f32
8 822×accelerator-lowering-fma.f64
4 024×*-lowering-*.f32
4 024×*-lowering-*.f64
3 876×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14016
228016
3288016
0833816
0853564
11953520
24233520
39503520
435393520
566773520
082243146
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 83 to 46 computations (44.6% saved)

preprocess47.0ms (0.4%)

Memory
-5.0MiB live, 115.4MiB allocated
Compiler

Compiled 106 to 56 computations (47.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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