2atan (example 3.5)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (45.8%)

Memory
-1.2MiB live, 1 802.3MiB allocated; 345ms collecting garbage
Samples
855.0ms7 314×1valid
170.0ms752×2valid
8.0ms190×0valid
Precisions
Click to see histograms. Total time spent on operations: 790.0ms
ival-atan: 378.0ms (47.9% of total)
adjust: 259.0ms (32.8% of total)
ival-sub!: 91.0ms (11.5% of total)
ival-add!: 62.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess75.0ms (2.5%)

Memory
-9.1MiB live, 37.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
12423
23723
36923
414123
541823
6294023
7715523
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Counts
6 → 10
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

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

rewrite60.0ms (2.1%)

Memory
35.2MiB live, 80.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031106
03698
115998
0103798
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
16 → 54
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))
(neg.f64 (atan.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64))))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N)))
(neg.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) (neg.f64 N)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (+ N 1) N)
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

eval5.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 414 to 189 computations (54.3% saved)

prune40.0ms (1.3%)

Memory
-47.5MiB live, 11.6MiB allocated; 44ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349
Accuracy
15.9%
Counts
49 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
9.0%
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
4.2%
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
Compiler

Compiled 21 to 20 computations (4.8% saved)

series3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
13 → 28
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) N))
#s(approx (+ N 1) N)
N
(atan.f64 N)
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

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

rewrite102.0ms (3.4%)

Memory
-6.9MiB live, 88.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077385
092341
1405337
03247334
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
41 → 184
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) N))
#s(approx (+ N 1) N)
N
(atan.f64 N)
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Outputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (atan.f64 #s(approx (- N -1) N)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 #s(approx (- N -1) N)) (atan.f64 #s(approx (- N -1) N)) (-.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 #s(approx (- N -1) N)) (neg.f64 (atan.f64 N))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N))) (-.f64 (atan.f64 #s(approx (- N -1) N)) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (*.f64 N (-.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (neg.f64 N)) (fabs.f64 (neg.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (*.f64 N N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (*.f64 N N))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 N N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N) (*.f64 N N))
(fma.f64 #s(literal -1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 N N (-.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) 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 #s(literal 1 binary64) (*.f64 N N)) N)
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(literal 1 binary64)
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (- N -1)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (- N -1)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N) N)))
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- (atan (- N -1)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval24.0ms (0.8%)

Memory
11.3MiB live, 54.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 674 to 624 computations (62.7% saved)

prune9.0ms (0.3%)

Memory
24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1998207
Fresh000
Picked213
Done000
Total2019210
Accuracy
99.6%
Counts
210 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.2%
(atan2.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (neg.f64 N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
12.5%
(atan2.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (*.f64 N (-.f64 N (-.f64 #s(literal -1 binary64) N))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
12.5%
(atan2.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (+.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
15.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
14.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
15.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
12.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
5.1%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Compiler

Compiled 234 to 199 computations (15% saved)

series28.0ms (0.9%)

Memory
-14.8MiB live, 36.6MiB allocated; 13ms collecting garbage
Counts
31 → 105
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (+.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (+.f64 N (-.f64 N #s(literal 1 binary64))))
(-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 N N)
(*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))
(+.f64 N (-.f64 N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))
(*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N))
(-.f64 #s(literal -1 binary64) N)
(*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow N 2) (pow (- N 1) 2)) (- (* 2 N) 1)) (+ 1 (* N (+ 1 N))))))
#s(approx (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) #s(hole binary64 1))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 -1))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 1))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (+ 1 (* -2 N))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (+ 1 (* N (- N 2)))))
#s(approx (- N 1) #s(hole binary64 -1))
#s(approx (- N 1) #s(hole binary64 (- N 1)))
#s(approx (+ N (- N 1)) #s(hole binary64 -1))
#s(approx (+ N (- N 1)) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 1))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- -1 N) #s(hole binary64 -1))
#s(approx (- -1 N) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (* (* (* (* N N) N) N) (* N N)) #s(hole binary64 (pow N 6)))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow N 2) (pow (- N 1) 2)) (- (* 2 N) 1)) (+ 1 (+ N (pow N 2))))))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (* 2 N)))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (* (pow N 2) (- 1 (* 2 (/ 1 N))))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (* 2 (/ 1 N))))))
#s(approx (- N 1) #s(hole binary64 N))
#s(approx (- N 1) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (+ N (- N 1)) #s(hole binary64 (* 2 N)))
#s(approx (+ N (- N 1)) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- -1 N) #s(hole binary64 (* -1 N)))
#s(approx (- -1 N) #s(hole binary64 (* -1 (* N (+ 1 (/ 1 N))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (* -1 (/ (- (pow N 2) (pow (+ 1 (* -1 N)) 2)) (+ 1 (* -2 N)))) (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 2 (/ 1 N)) N))))))
#s(approx (- N 1) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
#s(approx (+ N (- N 1)) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (* (- 1 (* -1 N)) (pow (- (* -1 N) 1) 2)) (pow N 6)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- (* -1 N) 1) 2))) (pow N 2))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (- (* N N) (* (- N 1) (- N 1))) (* N N) (* (- N 1) (- N 1)) (- N 1) (+ N (- N 1)) (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- -1 N) (- -1 N)) (- -1 N) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
6.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (- (* N N) (* (- N 1) (- N 1))) (* N N) (* (- N 1) (- N 1)) (- N 1) (+ N (- N 1)) (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- -1 N) (- -1 N)) (- -1 N) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
5.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (- (* N N) (* (- N 1) (- N 1))) (* N N) (* (- N 1) (- N 1)) (- N 1) (+ N (- N 1)) (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- -1 N) (- -1 N)) (- -1 N) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))

rewrite261.0ms (8.8%)

Memory
-5.5MiB live, 269.9MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03392767
04031948
119891895
085231828
Stop Event
iter-limit
node-limit
iter-limit
Counts
136 → 632
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (+.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (+.f64 N (-.f64 N #s(literal 1 binary64))))
(-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 N N)
(*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))
(+.f64 N (-.f64 N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))
(*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N))
(-.f64 #s(literal -1 binary64) N)
(*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow N 2) (pow (- N 1) 2)) (- (* 2 N) 1)) (+ 1 (* N (+ 1 N))))))
#s(approx (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) #s(hole binary64 1))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 -1))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 1))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (+ 1 (* -2 N))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (+ 1 (* N (- N 2)))))
#s(approx (- N 1) #s(hole binary64 -1))
#s(approx (- N 1) #s(hole binary64 (- N 1)))
#s(approx (+ N (- N 1)) #s(hole binary64 -1))
#s(approx (+ N (- N 1)) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 1))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- -1 N) #s(hole binary64 -1))
#s(approx (- -1 N) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (* (* (* (* N N) N) N) (* N N)) #s(hole binary64 (pow N 6)))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow N 2) (pow (- N 1) 2)) (- (* 2 N) 1)) (+ 1 (+ N (pow N 2))))))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (* 2 N)))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (* (pow N 2) (- 1 (* 2 (/ 1 N))))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (* 2 (/ 1 N))))))
#s(approx (- N 1) #s(hole binary64 N))
#s(approx (- N 1) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (+ N (- N 1)) #s(hole binary64 (* 2 N)))
#s(approx (+ N (- N 1)) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (- -1 N) (- -1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- -1 N) #s(hole binary64 (* -1 N)))
#s(approx (- -1 N) #s(hole binary64 (* -1 (* N (+ 1 (/ 1 N))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (* -1 (/ (- (pow N 2) (pow (+ 1 (* -1 N)) 2)) (+ 1 (* -2 N)))) (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (- (* N N) (* (- N 1) (- N 1))) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (* (- N 1) (- N 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 2 (/ 1 N)) N))))))
#s(approx (- N 1) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
#s(approx (+ N (- N 1)) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (* (- 1 (* -1 N)) (pow (- (* -1 N) 1) 2)) (pow N 6)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- (* -1 N) 1) 2))) (pow N 2))))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(/.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 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #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 #s(literal 1 binary64) N))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (*.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (*.f64 N N) N) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (*.f64 #s(literal 1 binary64) N)))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) (*.f64 N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(neg.f64 (-.f64 N (-.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(+.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
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#s(approx (* (- -1 N) (- -1 N)) (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)))
#s(approx (- -1 N) #s(literal -1 binary64))
#s(approx (- -1 N) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
#s(approx (* (* (* (* N N) N) N) (* N N)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))
#s(approx (* (* (* N N) N) N) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(literal 1 binary64))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 N N)) N #s(literal 1 binary64)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (fma.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N) #s(literal 2 binary64)) N #s(literal 1 binary64)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (neg.f64 (*.f64 N N)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (* (- N -1) (* N N)) (*.f64 N N))
#s(approx (* (- N -1) (* N N)) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (- N -1) N)
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) (atan2.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) (-.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64))) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
#s(approx (- (* N N) (* (- N 1) (- N 1))) (+.f64 N N))
#s(approx (- (* N N) (* (- N 1) (- N 1))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (* (- N 1) (- N 1)) (*.f64 N N))
#s(approx (* (- N 1) (- N 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) N)) (*.f64 N N)))
#s(approx (* (- N 1) (- N 1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) N)) (*.f64 N N)))
#s(approx (- N 1) N)
#s(approx (- N 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (+ N (- N 1)) (+.f64 N N))
#s(approx (+ N (- N 1)) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 N N N))
#s(approx (+ N (+ (* N N) 1)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (* (- -1 N) (- -1 N)) (*.f64 N N))
#s(approx (* (- -1 N) (- -1 N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- -1 N) (- -1 N)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- -1 N) (neg.f64 N))
#s(approx (- -1 N) (neg.f64 (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (- N -1) (* N N)) (*.f64 (*.f64 N N) N))
#s(approx (* (- N -1) (* N N)) (fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (/ (- (* N N) (* (- N 1) (- N 1))) (+ N (- N 1))) (+ (* (- N -1) N) 1)) (atan2.f64 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (- (* N N) (* (- N 1) (- N 1))) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))))
#s(approx (* (- N 1) (- N 1)) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))))
#s(approx (- N 1) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
#s(approx (+ N (- N 1)) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)) (-.f64 (neg.f64 N) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (-.f64 (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) N))) (*.f64 N N)))))
#s(approx (+ (* (* (- -1 N) (- -1 N)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))

eval145.0ms (4.9%)

Memory
20.9MiB live, 247.3MiB allocated; 37ms collecting garbage
Compiler

Compiled 11 090 to 4 063 computations (63.4% saved)

prune80.0ms (2.7%)

Memory
-12.0MiB live, 59.9MiB allocated; 15ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New98710997
Fresh213
Picked415
Done011
Total993131 006
Accuracy
99.6%
Counts
1 006 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.2%
(atan2.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (neg.f64 N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
15.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
12.1%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))))
4.2%
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
77.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
96.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N))))
93.7%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
46.2%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)) (-.f64 (neg.f64 N) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (-.f64 (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) N))) (*.f64 N N)))))
Compiler

Compiled 426 to 359 computations (15.7% saved)

series22.0ms (0.7%)

Memory
-27.5MiB live, 18.8MiB allocated; 5ms collecting garbage
Counts
29 → 68
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 #s(approx (- N -1) N) N)
#s(approx (- N -1) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
(*.f64 N N)
(atan2.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (neg.f64 N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (neg.f64 N))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(literal -1 binary64)
(neg.f64 N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (+ (* (- (/ 1 N) -1) N) (neg N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (- (* N (+ 1 (/ 1 N))) N) (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- (/ 1 N) -1) N) (neg N)) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 1))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 1))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ (neg N) 1) #s(hole binary64 1))
#s(approx (+ (neg N) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (+ (* (- (/ 1 N) -1) N) (neg N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 N))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 N)))
#s(approx (+ (neg N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (+ (* (- (/ 1 N) -1) N) (neg N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (+ (* -1 N) (* N (+ 1 (/ 1 N)))) (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
Calls

3 calls:

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

rewrite218.0ms (7.4%)

Memory
23.2MiB live, 252.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901345
02281006
1964878
08687875
Stop Event
iter-limit
node-limit
iter-limit
Counts
97 → 1 130
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 #s(approx (- N -1) N) N)
#s(approx (- N -1) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
(*.f64 N N)
(atan2.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (neg.f64 N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (neg.f64 N))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(literal -1 binary64)
(neg.f64 N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (+ (* (- (/ 1 N) -1) N) (neg N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (- (* N (+ 1 (/ 1 N))) N) (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- (/ 1 N) -1) N) (neg N)) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 1))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 1))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ (neg N) 1) #s(hole binary64 1))
#s(approx (+ (neg N) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (+ (* (- (/ 1 N) -1) N) (neg N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 N))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 N)))
#s(approx (+ (neg N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (+ (* (- (/ 1 N) -1) N) (neg N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (+ (* -1 N) (* N (+ 1 (/ 1 N)))) (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 N N) N))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) N) N)
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) (*.f64 N N))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64))))
(*.f64 (*.f64 N N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64))))
(*.f64 N (*.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N))) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 N N)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)))
(/.f64 (*.f64 (*.f64 N N) (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N)))))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) N) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 (*.f64 N N) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) N))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(+.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) N))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N))
(*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64)))
(*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal -1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal -1 binary64)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) N))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(neg.f64 (-.f64 N #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 N)))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) (*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 N) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 N)))
(fma.f64 #s(literal 1 binary64) (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)))
(fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) N (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 N)))
(fma.f64 #s(literal -1 binary64) N (*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)))
(fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 N)))
(fma.f64 N #s(literal -1 binary64) (*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)))
(fma.f64 N #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(-.f64 (neg.f64 N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) N)
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) N) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 N) N) N) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(+.f64 (neg.f64 N) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 N)))
(+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (+ (* N N) 1) #s(literal 1 binary64))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx N N)
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(literal 1 binary64))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (- (/ 1 N) -1) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (/ 1 N) -1) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (neg N) (neg.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(literal 1 binary64))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (* (* N N) N) -1) #s(literal 1 binary64))
#s(approx (- (* (* N N) N) -1) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))
#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(literal 1 binary64))
#s(approx (+ (* N N) (+ (neg N) 1)) (-.f64 #s(literal 1 binary64) N))
#s(approx (+ (* N N) (+ (neg N) 1)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
#s(approx (+ (neg N) 1) #s(literal 1 binary64))
#s(approx (+ (neg N) 1) (-.f64 #s(literal 1 binary64) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (fma.f64 N N N))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N)
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (fma.f64 N N N))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (- (/ 1 N) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 N) -1) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (fma.f64 N N N))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N)
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (* (* N N) N) -1) (*.f64 (*.f64 N N) N))
#s(approx (- (* (* N N) N) -1) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 N N))
#s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
#s(approx (+ (* N N) (+ (neg N) 1)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) N))))
#s(approx (+ (neg N) 1) (neg.f64 N))
#s(approx (+ (neg N) 1) (-.f64 #s(literal 1 binary64) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
#s(approx (+ (* N N) (+ (neg N) 1)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) N))))
#s(approx (+ (neg N) 1) (-.f64 #s(literal 1 binary64) N))

eval112.0ms (3.8%)

Memory
9.5MiB live, 252.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 7 694 to 3 215 computations (58.2% saved)

prune59.0ms (2%)

Memory
-3.5MiB live, 50.4MiB allocated; 2ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New74113754
Fresh426
Picked235
Done112
Total74819767
Accuracy
99.7%
Counts
767 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
4.2%
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
12.2%
(atan2.f64 (*.f64 N (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
47.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) #s(literal -1 binary64)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
93.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 N N))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
96.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
7.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
93.7%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
99.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
75.8%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) N) (-.f64 N #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
46.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (*.f64 N N) N)))
46.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 N N)) N (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (*.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))))))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
76.8%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N)))
96.1%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N)))
Compiler

Compiled 670 to 495 computations (26.1% saved)

regimes22.0ms (0.7%)

Memory
-24.1MiB live, 23.1MiB allocated; 2ms collecting garbage
Counts
35 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (*.f64 N N) N)))
(atan2.f64 (*.f64 N (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (neg.f64 N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 N N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(atan2.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (+.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) N) (-.f64 N #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) #s(literal -1 binary64)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (*.f64 N (-.f64 N (-.f64 #s(literal -1 binary64) N))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(approx (+ (* (- -1 N) (- -1 N)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 N N)) N (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (*.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)) (-.f64 (neg.f64 N) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (-.f64 (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) N))) (*.f64 N N)))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
Calls

2 calls:

9.0ms
N
7.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.5%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
96.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
96.1%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
93.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
93.7%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
Calls

2 calls:

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

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
4.2%1N
4.2%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

derivations278.0ms (9.4%)

Memory
-35.4MiB live, 268.8MiB allocated; 97ms collecting garbage
Stop Event
fuel
Compiler

Compiled 40 to 25 computations (37.5% saved)

preprocess42.0ms (1.4%)

Memory
22.6MiB live, 117.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 62 to 43 computations (30.6% saved)

end0.0ms (0%)

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

Profiling

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