2atan (example 3.5)

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB 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)

sample1.4s (56.4%)

Memory
-47.6MiB live, 1 356.9MiB allocated; 366ms collecting garbage
Samples
909.0ms7 253×1valid
143.0ms807×2valid
9.0ms196×0valid
Precisions
Click to see histograms. Total time spent on operations: 831.0ms
ival-atan: 442.0ms (53.2% of total)
adjust: 270.0ms (32.5% of total)
ival-add!: 75.0ms (9% of total)
ival-sub!: 44.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess155.0ms (6.3%)

Memory
-7.8MiB live, 42.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
12626
25226
313924
499222
5667222
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.7%
(-.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
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
6 → 9
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 (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

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

rewrite53.0ms (2.2%)

Memory
26.0MiB live, 73.0MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030101
03593
114493
091793
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
15 → 48
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 (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.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 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))))))
(-.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))
(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 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 (*.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 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (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)))
(-.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 #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 #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) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

eval4.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 362 to 175 computations (51.7% saved)

prune2.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New38341
Fresh000
Picked101
Done000
Total39342
Accuracy
19.9%
Counts
42 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
8.7%
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
2.0%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 22 to 21 computations (4.5% saved)

series4.0ms (0.2%)

Memory
-41.5MiB live, 5.3MiB allocated; 2ms collecting garbage
Counts
13 → 16
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
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))
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 (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 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 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) 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))
1.0ms
N
@inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) 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))
0.0ms
N
@0
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) 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))

rewrite109.0ms (4.5%)

Memory
44.1MiB live, 128.8MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063275
077243
1350235
03031232
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 142
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
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(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 (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 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 (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) #s(literal 1 binary64)) N) (fma.f64 #s(approx (+ N 1) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #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 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #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 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #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 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 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)))
(/.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))))))
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(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 #s(literal 1 binary64) (+.f64 (neg.f64 N) N))
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(+.f64 #s(literal 1 binary64) (-.f64 N N))
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(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)))
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(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal -1 binary64)))
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(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (*.f64 N N))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N) (*.f64 N N))
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(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N 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) (-.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)))
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(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
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(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.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) (atan.f64 N))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 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 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.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 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval19.0ms (0.8%)

Memory
-21.4MiB live, 25.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 466 to 526 computations (64.1% saved)

prune7.0ms (0.3%)

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1396145
Fresh000
Picked213
Done000
Total1417148
Accuracy
99.6%
Counts
148 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
18.8%
(atan2.f64 (-.f64 (-.f64 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 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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))))
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
2.0%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
Compiler

Compiled 164 to 142 computations (13.4% saved)

series10.0ms (0.4%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
29 → 54
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #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))
(-.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))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #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)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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 (-.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 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N 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) 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 #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) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (* (+ (* N N) N) (+ (* N N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (pow (+ N (pow N 2)) 2)) (- 1 (+ N (pow N 2)))))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* -2 N) 1)))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* N (- (* -1 N) 2)) 1)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (+ 1 (* N (- (* -1 N) 1)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#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 (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -1 N))))))
#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 (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* -1 (* (pow N 4) (+ 1 (* 2 (/ 1 N)))))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (/ 1 N)) N)) 1))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 4)) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#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 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (* (+ (* N N) N) (+ (* N N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (pow (- (pow N 2) (* -1 N)) 2)) (- (+ 1 (* -1 N)) (pow N 2))))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) N)) 1))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
Calls

3 calls:

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

rewrite194.0ms (7.9%)

Memory
-20.7MiB live, 123.0MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411437
02891188
114001112
081141095
Stop Event
iter-limit
node-limit
iter-limit
Counts
83 → 442
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #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))
(-.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))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #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)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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 (-.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 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N 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) 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 #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) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (* (+ (* N N) N) (+ (* N N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (pow (+ N (pow N 2)) 2)) (- 1 (+ N (pow N 2)))))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* -2 N) 1)))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* N (- (* -1 N) 2)) 1)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (+ 1 (* N (- (* -1 N) 1)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#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 (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -1 N))))))
#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 (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* -1 (* (pow N 4) (+ 1 (* 2 (/ 1 N)))))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (/ 1 N)) N)) 1))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 4)) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#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 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (* (+ (* N N) N) (+ (* N N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (pow (- (pow N 2) (* -1 N)) 2)) (- (+ 1 (* -1 N)) (pow N 2))))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) N)) 1))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#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 #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)))))
(/.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 (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 (-.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 (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)))))
(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 (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 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.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 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.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 (*.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))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (+.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 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (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 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.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 (/.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 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 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (fma.f64 (*.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))) (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 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) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.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 (/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 N N) N (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(literal 2 binary64) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) (*.f64 (*.f64 (*.f64 N N) N) N)))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 N N) N (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))))) (*.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (*.f64 N N) N) N))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
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#s(approx (* (- N -1) (- N -1)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- N -1) (- N -1)) (*.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 (- (- N -1) (* N N)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (- N -1) (* N N)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 N N) (neg.f64 N)) (-.f64 (*.f64 N N) (neg.f64 N)))) (-.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 N N)))))
#s(approx (- 1 (* (+ (* N N) N) (+ (* N N) N))) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- 1 (+ (* N N) N)) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))))

eval61.0ms (2.5%)

Memory
4.9MiB live, 89.0MiB allocated; 15ms collecting garbage
Compiler

Compiled 6 615 to 2 106 computations (68.2% saved)

prune11.0ms (0.5%)

Memory
26.9MiB live, 26.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4328440
Fresh101
Picked325
Done101
Total43710447
Accuracy
99.7%
Counts
447 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
19.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
19.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
78.3%
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
78.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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)))))
7.9%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
6.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
99.6%
#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))))
Compiler

Compiled 333 to 284 computations (14.7% saved)

series17.0ms (0.7%)

Memory
-45.1MiB live, 18.6MiB allocated; 6ms collecting garbage
Counts
36 → 61
Calls
Call 1
Inputs
#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))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))
#s(literal 1 binary64)
(-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(fma.f64 N N #s(literal 1 binary64))
N
(neg.f64 N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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(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)
(*.f64 N N)
#s(literal -1 binary64)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 N N) N) N)
(-.f64 (*.f64 N N) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N)))
(+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))
(*.f64 (fma.f64 N N N) (*.f64 N N))
(fma.f64 N N N)
(*.f64 (fma.f64 N N N) N)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 1))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (neg N) #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 (atan2 1 (+ (* (/ (- (* (* 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) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#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 (atan2 (- (- N -1) N) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)))) #s(hole binary64 (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))))
#s(approx (- (* (* (* N N) N) N) 1) #s(hole binary64 -1))
#s(approx (- (* (* (* N N) N) N) 1) #s(hole binary64 (- (pow N 4) 1)))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (- (* N N) 1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (+ (* N (+ N (pow N 2))) (* (pow N 2) (+ N (pow N 2))))) (- 1 (+ N (pow N 2)))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* -2 N) 1)))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* N (- (* -1 N) 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 N))))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (* (+ (* N N) N) N) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (+ 1 (* N (- (* -1 N) 1)))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* N N) 1) (neg 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) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* 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))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#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) (- 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 (* N (- (/ 1 N) 1))))
#s(approx (- (* (* (* N N) N) N) 1) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 (pow N 4))))))
#s(approx (- (* N N) 1) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (+ (* 2 (pow N 3)) (+ (pow N 2) (pow N 4)))) (- 1 (+ N (pow N 2)))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* -1 (* (pow N 4) (+ 1 (* 2 (/ 1 N)))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (/ 1 N)) N)) 1))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 4)) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2))))))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (* (pow N 4) (+ 1 (/ 1 N)))))
#s(approx (* (+ (* N N) N) N) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* 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))))))
#s(approx (atan2 (- (- N -1) N) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)))) #s(hole binary64 (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- (+ 1 (* -1 (pow N 3))) (+ (* N (- (pow N 2) (* -1 N))) (pow N 4))) (- (+ 1 (* -1 N)) (pow N 2))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) N)) 1))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
N
@inf
((atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2 1 (- (+ (* N N) 1) (neg N))) 1 (- (+ (* N N) 1) (neg N)) (+ (* N N) 1) N (neg N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (/ (- (* (* 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) -1 (+ (* N N) (+ (neg N) 1)) (+ (neg N) 1) (atan2 (- (- N -1) N) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)))) (- (- N -1) N) (- N -1) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1))) (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)) (- (* (* (* N N) N) N) 1) (* (* (* N N) N) N) (- (* N N) 1) (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N))) (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (* (+ (* N N) N) N) (- 1 (+ (* N N) N)))
4.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2 1 (- (+ (* N N) 1) (neg N))) 1 (- (+ (* N N) 1) (neg N)) (+ (* N N) 1) N (neg N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (/ (- (* (* 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) -1 (+ (* N N) (+ (neg N) 1)) (+ (neg N) 1) (atan2 (- (- N -1) N) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)))) (- (- N -1) N) (- N -1) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1))) (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)) (- (* (* (* N N) N) N) 1) (* (* (* N N) N) N) (- (* N N) 1) (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N))) (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (* (+ (* N N) N) N) (- 1 (+ (* N N) N)))
4.0ms
N
@0
((atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2 1 (- (+ (* N N) 1) (neg N))) 1 (- (+ (* N N) 1) (neg N)) (+ (* N N) 1) N (neg N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (/ (- (* (* 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) -1 (+ (* N N) (+ (neg N) 1)) (+ (neg N) 1) (atan2 (- (- N -1) N) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)))) (- (- N -1) N) (- N -1) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1))) (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)) (- (* (* (* N N) N) N) 1) (* (* (* N N) N) N) (- (* N N) 1) (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N))) (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (* (+ (* N N) N) N) (- 1 (+ (* N N) N)))

rewrite167.0ms (6.8%)

Memory
38.5MiB live, 169.3MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891811
03441337
117011265
081711246
Stop Event
iter-limit
node-limit
iter-limit
Counts
97 → 552
Calls
Call 1
Inputs
#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))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))
#s(literal 1 binary64)
(-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(fma.f64 N N #s(literal 1 binary64))
N
(neg.f64 N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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(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)
(*.f64 N N)
#s(literal -1 binary64)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 N N) N) N)
(-.f64 (*.f64 N N) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N)))
(+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))
(*.f64 (fma.f64 N N N) (*.f64 N N))
(fma.f64 N N N)
(*.f64 (fma.f64 N N N) N)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 1))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (neg N) #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 (atan2 1 (+ (* (/ (- (* (* 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) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#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 (atan2 (- (- N -1) N) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)))) #s(hole binary64 (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))))
#s(approx (- (* (* (* N N) N) N) 1) #s(hole binary64 -1))
#s(approx (- (* (* (* N N) N) N) 1) #s(hole binary64 (- (pow N 4) 1)))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (- (* N N) 1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (+ (* N (+ N (pow N 2))) (* (pow N 2) (+ N (pow N 2))))) (- 1 (+ N (pow N 2)))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* -2 N) 1)))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (* N (- (* -1 N) 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 N))))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (* (+ (* N N) N) N) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (+ 1 (* N (- (* -1 N) 1)))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* N N) 1) (neg 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) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* 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))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#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) (- 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 (* N (- (/ 1 N) 1))))
#s(approx (- (* (* (* N N) N) N) 1) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 (pow N 4))))))
#s(approx (- (* N N) 1) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- 1 (+ (* 2 (pow N 3)) (+ (pow N 2) (pow N 4)))) (- 1 (+ N (pow N 2)))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* -1 (* (pow N 4) (+ 1 (* 2 (/ 1 N)))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (/ 1 N)) N)) 1))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 4)) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2))))))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (* (+ (* N N) N) (* N N)) #s(hole binary64 (* (pow N 4) (+ 1 (/ 1 N)))))
#s(approx (* (+ (* N N) N) N) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* 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))))))
#s(approx (atan2 (- (- N -1) N) (+ N (/ (- (* (* (* N N) N) N) 1) (- (* N N) 1)))) #s(hole binary64 (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) #s(hole binary64 (atan2 1 (/ (- (+ 1 (* -1 (pow N 3))) (+ (* N (- (pow N 2) (* -1 N))) (pow N 4))) (- (+ 1 (* -1 N)) (pow N 2))))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) #s(hole binary64 (* (pow N 4) (- (* -1 (/ (+ 2 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) N)) 1))))
#s(approx (- 1 (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))))
Outputs
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) (neg.f64 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) (neg.f64 N))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)) (*.f64 #s(literal 1 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 (*.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) N)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N))) (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (neg.f64 N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 N N) (neg.f64 N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (*.f64 N N) (neg.f64 N)) (-.f64 (*.f64 N N) (neg.f64 N))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (neg.f64 N))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (neg.f64 N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (*.f64 #s(literal 2 binary64) (fma.f64 N N (neg.f64 N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (fma.f64 N N (*.f64 (neg.f64 N) (*.f64 N N)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (*.f64 (neg.f64 N) (*.f64 N N))))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (fma.f64 N N (*.f64 (neg.f64 N) (*.f64 N N))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N))) (neg.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 N) (*.f64 N N)))) (neg.f64 (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))))
(/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 N) (*.f64 N N))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(fma.f64 N N (-.f64 #s(literal 1 binary64) (neg.f64 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 #s(literal 1 binary64)) (neg.f64 N))) (/.f64 (*.f64 N N) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
(-.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)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))) (/.f64 (*.f64 (neg.f64 N) (*.f64 N N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (neg.f64 N)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (neg.f64 N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (*.f64 N N) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (/.f64 (pow.f64 N #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 N N) N) N)) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 #s(literal 1 binary64) (*.f64 N N))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
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#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) N)) #s(literal 1 binary64))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (+ (* N N) N) (* N N)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (+ (* N N) N) N) (fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) (*.f64 N N)))
#s(approx (- 1 (+ (* N N) N)) (neg.f64 (*.f64 N N)))
#s(approx (- 1 (+ (* N N) N)) (neg.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
#s(approx (- 1 (+ (* N N) N)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) (neg.f64 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (*.f64 N N))) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))))
#s(approx (+ (neg N) 1) (*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) #s(literal 1 binary64))))))
#s(approx (atan2 (- (- N -1) N) (/ (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (- 1 (+ (* N N) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (neg.f64 N) (*.f64 N N) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 N N) (neg.f64 N)) N (*.f64 (*.f64 (*.f64 N N) N) N))) (-.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 N N)))))
#s(approx (- 1 (+ (* (+ (* N N) N) (* N N)) (* (+ (* N N) N) N))) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- 1 (+ (* N N) N)) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)) (*.f64 N N)))

eval95.0ms (3.9%)

Memory
-20.0MiB live, 86.0MiB allocated; 45ms collecting garbage
Compiler

Compiled 7 997 to 2 917 computations (63.5% saved)

prune20.0ms (0.8%)

Memory
-8.4MiB live, 37.8MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New4867493
Fresh123
Picked325
Done112
Total49112503
Accuracy
99.7%
Counts
503 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
99.1%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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))))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
50.7%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (neg.f64 N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64)))))) N #s(literal 1 binary64))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
78.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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)))))
7.9%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
6.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
99.3%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (-.f64 #s(literal 1 binary64) (neg.f64 N)))))
99.6%
#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))))
78.3%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 N))))
Compiler

Compiled 470 to 362 computations (23% saved)

regimes13.0ms (0.5%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 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 (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (-.f64 #s(literal 1 binary64) (neg.f64 N)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.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))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.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 (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))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (fma.f64 N N N) N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 (-.f64 (-.f64 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 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (neg.f64 N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64)))))) N #s(literal 1 binary64))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
N
5.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
7.9%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.9%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.2%)

Memory
-39.6MiB live, 6.6MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
6.4%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
6.4%1N
Compiler

Compiled 7 to 7 computations (0% saved)

derivations77.0ms (3.1%)

Memory
27.5MiB live, 74.3MiB allocated; 15ms collecting garbage
Stop Event
fuel
Compiler

Compiled 28 to 21 computations (25% saved)

preprocess36.0ms (1.5%)

Memory
-4.5MiB live, 39.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 50 to 39 computations (22% saved)

end0.0ms (0%)

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

Profiling

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