2atan (example 3.5)

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.0s (34.7%)

Memory
-163.8MiB live, 1 921.5MiB allocated
Samples
1.5s7 499×1valid
124.0ms354×2valid
31.0ms403×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
const: 415.0ms (29.8% of total)
ival-atan: 390.0ms (28% of total)
adjust: 233.0ms (16.7% of total)
ival-add: 156.0ms (11.2% of total)
ival-sub: 104.0ms (7.5% of total)
ival-<: 44.0ms (3.2% of total)
ival->: 27.0ms (1.9% of total)
ival-and: 12.0ms (0.9% of total)
exact: 8.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain126.0ms (2.2%)

Memory
19.8MiB live, 215.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-1(7.275880202816976)(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-N
00-0-(+.f64 N #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))cancellation2521
Confusion
Predicted +Predicted -
+2521
-03
Precision
1.0
Recall
0.9960474308300395
Confusion?
Predicted +Predicted MaybePredicted -
+25210
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
04
1252
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms466×1valid
6.0ms16×2valid
2.0ms30×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-atan: 38.0ms (62.8% of total)
adjust: 12.0ms (19.8% of total)
ival-add: 5.0ms (8.3% of total)
ival-sub: 5.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess38.0ms (0.7%)

Memory
6.3MiB live, 43.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11817
24116
37416
412216
518016
620416
721516
067
0107
1157
2197
3257
4337
5487
6807
71097
81587
91747
101827
01827
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.4%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory
-29.0MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff0
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11518
21918
32518
43318
54818
68018
710918
815818
917418
1018218
018218
Stop Event
iter limit
saturated
iter limit
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
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(atan.f64 N)

localize46.0ms (0.8%)

Memory
7.1MiB live, 57.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 N #s(literal 1 binary64))
accuracy0.0
(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy0.0
(atan.f64 N)
accuracy57.95296181486009
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Samples
28.0ms233×1valid
1.0ms2valid
1.0ms15×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-atan: 10.0ms (46.2% of total)
adjust: 6.0ms (27.7% of total)
ival-add: 3.0ms (13.9% of total)
ival-sub: 2.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
4 → 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))
(atan.f64 N)
Outputs
(- (atan (+ 1 N)) (atan N))
(atan (+ 1 N))
1
(+ 1 N)
(atan N)
N
(* N (+ 1 (/ 1 N)))
(- (atan (- 1 (* -1 N))) (atan N))
(atan (- 1 (* -1 N)))
Calls

3 calls:

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

simplify15.0ms (0.3%)

Memory
-13.6MiB live, 23.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13432
24432
38932
418932
536932
641732
745732
851632
953232
1054032
054032
Stop Event
iter limit
saturated
Counts
9 → 8
Calls
Call 1
Inputs
(- (atan (+ 1 N)) (atan N))
(atan (+ 1 N))
1
(+ 1 N)
(atan N)
N
(* N (+ 1 (/ 1 N)))
(- (atan (- 1 (* -1 N))) (atan N))
(atan (- 1 (* -1 N)))
Outputs
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(atan N)
(atan.f64 N)
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))

rewrite144.0ms (2.5%)

Memory
20.6MiB live, 174.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
14416
228416
3288516
0837616
Stop Event
iter limit
node limit
iter limit
Counts
4 → 239
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))
(atan.f64 N)
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (-.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (/.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
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(*.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #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 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #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 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(neg.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(fma.f64 (/.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 N N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (atan.f64 N)))

eval33.0ms (0.6%)

Memory
-4.5MiB live, 68.0MiB allocated
Compiler

Compiled 7 523 to 927 computations (87.7% saved)

prune4.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2431244
Fresh000
Picked011
Done000
Total2432245
Accuracy
99.7%
Counts
245 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
9.4%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0519
0919
11419
22119
32919
43919
54219
64519
04519
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) 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 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N

localize21.0ms (0.4%)

Memory
-15.1MiB live, 34.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) N)
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy0.22265625
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Samples
12.0ms256×0valid
Compiler

Compiled 42 to 13 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (43.3% of total)
ival-atan2: 2.0ms (28.9% of total)
ival-mult: 2.0ms (28.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
Outputs
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
Calls

3 calls:

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

simplify119.0ms (2.1%)

Memory
-12.4MiB live, 182.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561
16757
211757
345157
4241557
5546457
0811751
Stop Event
iter limit
node limit
Counts
11 → 10
Calls
Call 1
Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
Outputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

rewrite182.0ms (3.2%)

Memory
0.5MiB live, 176.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0917
13717
226217
3279617
0841017
Stop Event
iter limit
node limit
iter limit
Counts
3 → 289
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (pow.f64 (fma.f64 N N N) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (/.f64 (fma.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))))
(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))))
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(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (neg.f64 (*.f64 N (/.f64 N (-.f64 #s(literal 1 binary64) N)))))
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(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
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(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N (/.f64 N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (neg.f64 (*.f64 N (/.f64 N (-.f64 #s(literal 1 binary64) N)))))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval42.0ms (0.7%)

Memory
-10.0MiB live, 64.9MiB allocated
Compiler

Compiled 7 357 to 1 147 computations (84.4% saved)

prune14.0ms (0.2%)

Memory
29.5MiB live, 29.5MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New28115296
Fresh000
Picked011
Done011
Total28117298
Accuracy
99.8%
Counts
298 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N (/.f64 N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
79.0%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
99.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
99.7%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
99.5%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
95.8%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
7.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
93.2%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
9.4%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 505 to 301 computations (40.4% saved)

simplify96.0ms (1.7%)

Memory
-13.7MiB live, 32.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
cost-diff192
(fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff0
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 N N N)
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff0
(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028199
052183
178175
2107175
3177173
4236173
5325173
6455173
7599173
8956173
91403173
101892173
112210173
122327173
132335173
142339173
152346173
162347173
02347173
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (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 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 N #s(literal 1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal 1 binary64))
Outputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #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 #s(literal 1 binary64) (pow.f64 (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))
(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (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))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #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 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))))
#s(literal 1 binary64)
(fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal 1 binary64))

localize81.0ms (1.4%)

Memory
-5.6MiB live, 109.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(pow.f64 N #s(literal 3 binary64))
accuracy0.00390625
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy0.21875
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
accuracy0.234375
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy0.0
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy0.0
(+.f64 N #s(literal 1 binary64))
accuracy0.14453125
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy0.21875
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
accuracy0.0
(fma.f64 N N N)
accuracy0.21875
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
accuracy2.105155469423796
#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
accuracy0.21875
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy59.29430986794475
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy0.0
(+.f64 N #s(literal 1 binary64))
accuracy0.2109375
(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy0.21875
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy0.23046875
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
Samples
55.0ms253×0valid
3.0ms5exit
Compiler

Compiled 399 to 61 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-add: 11.0ms (25.1% of total)
ival-pow: 10.0ms (22.8% of total)
ival-mult: 9.0ms (20.5% of total)
ival-atan2: 6.0ms (13.7% of total)
ival-div: 5.0ms (11.4% of total)
adjust: 1.0ms (2.3% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
9.0MiB live, 8.9MiB allocated
Counts
19 → 36
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (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))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(pow.f64 N #s(literal 3 binary64))
Outputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(+ 1 (* -1 N))
(+ 1 (* N (- (pow N 2) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
N
(* N (+ 1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(+ 1 (pow N 3))
(pow N 3)
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(* N (+ 1 (/ 1 N)))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
N
@inf
((/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (atan2 1 (/ 1 (pow (+ (* (+ N 1) N) 1) -1))) (pow (+ (* (+ N 1) N) 1) -1) (+ (* (+ N 1) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (/ 1 (pow (+ N 1) -1)) (atan2 1 (+ (* (/ 1 (pow (+ N 1) -1)) N) 1)) (+ (* (/ 1 (pow (+ N 1) -1)) N) 1) (pow (+ N 1) -1) (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1) (atan2 1 (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1)) (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) (+ (pow N 3) 1) (+ N 1) (pow N 3))
2.0ms
N
@-inf
((/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (atan2 1 (/ 1 (pow (+ (* (+ N 1) N) 1) -1))) (pow (+ (* (+ N 1) N) 1) -1) (+ (* (+ N 1) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (/ 1 (pow (+ N 1) -1)) (atan2 1 (+ (* (/ 1 (pow (+ N 1) -1)) N) 1)) (+ (* (/ 1 (pow (+ N 1) -1)) N) 1) (pow (+ N 1) -1) (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1) (atan2 1 (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1)) (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) (+ (pow N 3) 1) (+ N 1) (pow N 3))
2.0ms
N
@0
((/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (atan2 1 (/ 1 (pow (+ (* (+ N 1) N) 1) -1))) (pow (+ (* (+ N 1) N) 1) -1) (+ (* (+ N 1) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* N N) N) (/ 1 (pow (+ N 1) -1)) (atan2 1 (+ (* (/ 1 (pow (+ N 1) -1)) N) 1)) (+ (* (/ 1 (pow (+ N 1) -1)) N) 1) (pow (+ N 1) -1) (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1) (atan2 1 (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1)) (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) (+ (pow N 3) 1) (+ N 1) (pow N 3))

simplify215.0ms (3.8%)

Memory
19.9MiB live, 173.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101345
1279323
2598320
32450312
08314298
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(+ 1 (* -1 N))
(+ 1 (* N (- (pow N 2) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
N
(* N (+ 1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(+ 1 (pow N 3))
(pow N 3)
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(* N (+ 1 (/ 1 N)))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- (pow N 2) 1)))
(fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
(*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
N
(* N (+ 1 N))
(fma.f64 N N N)
(+ 1 (* N (- N 1)))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(+ 1 (pow N 3))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/ 1 (pow N 2))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
(/ (- 1 (/ 1 N)) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) N) #s(literal -1 binary64)) N) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (/ 1 N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) N) #s(literal -1 binary64)) N) N)
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))

rewrite237.0ms (4.1%)

Memory
-3.3MiB live, 147.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028175
052130
1211124
21491124
08247122
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 345
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (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))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
#s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(pow.f64 N #s(literal 3 binary64))
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) #s(literal 1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))))
(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(pow.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N)) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.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))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (exp.f64 (log.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) N) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))))
(fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))) (*.f64 N N))
(fma.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (*.f64 N N))
(fma.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))
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(/.f64 (neg.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 N) N))) (exp.f64 (log1p.f64 (neg.f64 N))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (exp.f64 (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 N))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 N)))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(exp.f64 (log1p.f64 N))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (*.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(*.f64 (*.f64 N N) N)
(*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 N (*.f64 N N))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 N))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 N #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 N) #s(literal 3/2 binary64) (*.f64 (log.f64 N) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))

eval162.0ms (2.8%)

Memory
-4.6MiB live, 123.2MiB allocated
Compiler

Compiled 13 102 to 2 252 computations (82.8% saved)

prune50.0ms (0.9%)

Memory
11.2MiB live, 48.4MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New58010590
Fresh8210
Picked325
Done022
Total59116607
Accuracy
99.8%
Counts
607 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
99.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
99.7%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
93.2%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
7.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
93.2%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
95.8%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
95.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
95.6%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
95.8%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
95.5%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
9.4%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
79.0%
#s(approx (atan2 1 (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 500 to 318 computations (36.4% saved)

simplify221.0ms (3.9%)

Memory
-26.9MiB live, 127.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff512
(/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
cost-diff704
(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
cost-diff1408
(fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(neg.f64 N)
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
cost-diff1344
(/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
cost-diff0
(*.f64 N N)
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
cost-diff128
(+.f64 (*.f64 N N) N)
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
cost-diff7168
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035237
058177
194177
2206176
3699174
43007174
57901174
08098174
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
(+.f64 (*.f64 N N) N)
(*.f64 N N)
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
(neg.f64 N)
N
(/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))
#s(literal -1 binary64)
(+.f64 N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(fma.f64 N N N)
N
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
(-.f64 N #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
Outputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(pow.f64 (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))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N))
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (-.f64 N #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N))
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
(*.f64 N N)
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))))
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (fma.f64 N N N))
(/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N N)
(neg.f64 N)
N
(/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
#s(literal -1 binary64)
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(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 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
N
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
(-.f64 N #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)

localize120.0ms (2.1%)

Memory
13.2MiB live, 99.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
accuracy0.0546875
(/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
accuracy0.07259750976844201
(fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.22265625
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))
accuracy0.22265625
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
accuracy0.2734375
(/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
accuracy2.485702534045213
#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))))
accuracy0.0
(*.f64 N N)
accuracy0.0234375
(+.f64 (*.f64 N N) N)
accuracy0.22265625
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
accuracy2.485702534045213
#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
accuracy0.0
(+.f64 #s(literal 1 binary64) N)
accuracy0.22265625
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
accuracy58.942599347721526
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N))
accuracy0.00390625
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
accuracy0.2109375
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy0.22265625
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
accuracy0.234375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
Samples
101.0ms256×0valid
Compiler

Compiled 458 to 67 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-add: 34.0ms (54.1% of total)
ival-div: 11.0ms (17.5% of total)
ival-mult: 7.0ms (11.1% of total)
ival-atan2: 6.0ms (9.5% of total)
ival-pow: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
22 → 43
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))
(+.f64 N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(+.f64 (*.f64 N N) N)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
(*.f64 N N)
(/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))))
(neg.f64 N)
(fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
Outputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
N
(* N (+ 1 N))
(pow N 2)
(* -1 N)
(* N (- N 1))
-1
(- (* -2 N) 1)
(- (* N (- (* -2 N) 2)) 1)
(- (* N (- (* N (- (* -2 N) 2)) 2)) 1)
(atan2 1 (+ 1 (+ N (pow N 2))))
(+ 1 (* -1 N))
(+ 1 (* N (- (pow N 2) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
(- N 1)
(- (* N (+ 1 (* -1 N))) 1)
(- (* N (+ 1 (* N (- N 1)))) 1)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (/ 1 N)))
(* (pow N 2) (- 1 (/ 1 N)))
(+ 1 (* 2 (/ 1 N)))
(+ 1 (+ (* 2 (/ 1 N)) (/ 2 (pow N 2))))
(+ 1 (+ (* 2 (/ 1 N)) (+ (* 2 (/ 1 (pow N 3))) (/ 2 (pow N 2)))))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(/ -1 N)
(/ (- (/ 1 N) 1) N)
(/ (- (/ 1 N) (+ 1 (/ 1 (pow N 2)))) N)
(/ (- (+ (/ 1 N) (/ 1 (pow N 3))) (+ 1 (/ 1 (pow N 2)))) N)
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 N))) N)) 2) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
(* -1 (/ (- 1 (/ 1 N)) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) N))
Calls

3 calls:

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

simplify177.0ms (3.1%)

Memory
-17.9MiB live, 136.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110378
1295365
2653360
32571342
08469325
Stop Event
iter limit
node limit
Counts
43 → 42
Calls
Call 1
Inputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
N
(* N (+ 1 N))
(pow N 2)
(* -1 N)
(* N (- N 1))
-1
(- (* -2 N) 1)
(- (* N (- (* -2 N) 2)) 1)
(- (* N (- (* N (- (* -2 N) 2)) 2)) 1)
(atan2 1 (+ 1 (+ N (pow N 2))))
(+ 1 (* -1 N))
(+ 1 (* N (- (pow N 2) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
(- N 1)
(- (* N (+ 1 (* -1 N))) 1)
(- (* N (+ 1 (* N (- N 1)))) 1)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (/ 1 N)))
(* (pow N 2) (- 1 (/ 1 N)))
(+ 1 (* 2 (/ 1 N)))
(+ 1 (+ (* 2 (/ 1 N)) (/ 2 (pow N 2))))
(+ 1 (+ (* 2 (/ 1 N)) (+ (* 2 (/ 1 (pow N 3))) (/ 2 (pow N 2)))))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(/ -1 N)
(/ (- (/ 1 N) 1) N)
(/ (- (/ 1 N) (+ 1 (/ 1 (pow N 2)))) N)
(/ (- (+ (/ 1 N) (/ 1 (pow N 3))) (+ 1 (/ 1 (pow N 2)))) N)
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 N))) N)) 2) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
(* -1 (/ (- 1 (/ 1 N)) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) N))
Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
N
(* N (+ 1 N))
(fma.f64 N N N)
(pow N 2)
(*.f64 N N)
(* -1 N)
(neg.f64 N)
(* N (- N 1))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
-1
#s(literal -1 binary64)
(- (* -2 N) 1)
(fma.f64 #s(literal -2 binary64) N #s(literal -1 binary64))
(- (* N (- (* -2 N) 2)) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)) N #s(literal -1 binary64))
(- (* N (- (* N (- (* -2 N) 2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)) N #s(literal -2 binary64)) N #s(literal -1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- (pow N 2) 1)))
(fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
(*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
(- N 1)
(-.f64 N #s(literal 1 binary64))
(- (* N (+ 1 (* -1 N))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64))
(- (* N (+ 1 (* N (- N 1)))) 1)
(*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* (pow N 2) (- 1 (/ 1 N)))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
(+ 1 (* 2 (/ 1 N)))
(+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 N)) (/ 2 (pow N 2))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 N)) (+ (* 2 (/ 1 (pow N 3))) (/ 2 (pow N 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N)) N))
(/ 1 (pow N 2))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
(/ (- 1 (/ 1 N)) (pow N 2))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64)))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))) (*.f64 N N))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (/ 1 N) 1) N)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)
(/ (- (/ 1 N) (+ 1 (/ 1 (pow N 2)))) N)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) (*.f64 N N))
(/ (- (+ (/ 1 N) (/ 1 (pow N 3))) (+ 1 (/ 1 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N) #s(literal 1 binary64)) N)
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 N))) N)) 2) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N)) N))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 N N))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
(/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) N) #s(literal 1 binary64)) (*.f64 N N))
(* -1 (/ (- 1 (/ 1 N)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) (*.f64 N N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N) #s(literal 1 binary64)) N)

rewrite188.0ms (3.3%)

Memory
28.7MiB live, 151.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035216
058156
1211156
21469156
08084155
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 001
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))
(+.f64 N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
#s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(+.f64 (*.f64 N N) N)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
#s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N))
(*.f64 N N)
(/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
#s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))))
(neg.f64 N)
(fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 N) (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 N) (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (fma.f64 N N N)))
(pow.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N))))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (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 (+.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.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))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (exp.f64 (log.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (fma.f64 N N N)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (sqrt.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (fma.f64 (neg.f64 N) (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 N N N)))))
(neg.f64 (fma.f64 (neg.f64 N) (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (pow.f64 (neg.f64 N) #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (pow.f64 (neg.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 (*.f64 (/.f64 (/.f64 (fma.f64 N N N) N) (-.f64 N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 (fma.f64 N N N) N) (-.f64 N #s(literal 1 binary64))) N) (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 N N N) N) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 N N N) (-.f64 N #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) N) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)) (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(neg.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
(*.f64 N (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 N (-.f64 N #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(pow.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (neg.f64 N)))))
(/.f64 (neg.f64 (*.f64 N (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 N) (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) N)) (fma.f64 (neg.f64 N) (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(/.f64 (*.f64 N (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N))) (neg.f64 (fma.f64 N N N)))
(/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) N) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 N N)) (fma.f64 N N N))
(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (neg.f64 N))
(fma.f64 (pow.f64 (neg.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 N))
(fma.f64 (neg.f64 N) (neg.f64 N) (neg.f64 N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (neg.f64 N))
(fma.f64 N N (neg.f64 N))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 2 binary64)) (neg.f64 N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (neg.f64 N))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (pow.f64 N #s(literal 3 binary64))))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (pow.f64 N #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N N)) (/.f64 (*.f64 N N) (fma.f64 N N N)))
(-.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) N)
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(-.f64 (*.f64 N N) N)
(+.f64 (*.f64 N N) (neg.f64 N))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval105.0ms (1.8%)

Memory
-20.1MiB live, 91.9MiB allocated
Compiler

Compiled 13 422 to 2 338 computations (82.6% saved)

prune41.0ms (0.7%)

Memory
-9.7MiB live, 37.6MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New5833586
Fresh077
Picked235
Done044
Total58517602
Accuracy
99.8%
Counts
602 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64)))
99.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (fma.f64 N N N)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
99.7%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
93.2%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
7.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
93.2%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
95.8%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
95.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
93.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) #s(approx (/ -1 (+ N 1)) (/.f64 #s(literal -1 binary64) N)))))
95.8%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
95.5%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
9.4%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
79.0%
#s(approx (atan2 1 (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 820 to 337 computations (58.9% saved)

regimes16.0ms (0.3%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) #s(approx (/ -1 (+ N 1)) (/.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ N 1) N) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N N) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (fma.f64 N N N)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (atan2 1 (+ (* (/ (+ (pow N 3) 1) (+ (* (- N 1) N) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N (/.f64 N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
Calls

2 calls:

8.0ms
N
7.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.7%1N
99.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) #s(approx (/ -1 (+ N 1)) (/.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (+.f64 N #s(literal 1 binary64))))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.7%1N
99.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (+.f64 (*.f64 N N) N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
95.8%1N
95.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
-32.1MiB live, 6.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (*.f64 N N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
Calls

2 calls:

5.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms
N
Results
AccuracySegmentsBranch
93.2%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
93.2%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (+ (* (+ N 1) N) 1) -1)) (+.f64 #s(literal 1 binary64) N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
Calls

2 calls:

2.0ms
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 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
6.3%1N
6.3%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify81.0ms (1.4%)

Memory
-1.9MiB live, 36.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02571
13471
24471
35571
47071
57771
68471
79971
817671
9348971
10713171
Stop Event
node limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

soundness1.0s (18%)

Memory
43.3MiB live, 439.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0917
13717
226217
3279617
0841017
02561
16757
211757
345157
4241557
5546457
0811751
028175
052130
1211124
21491124
08247122
0616
01016
14416
228416
3288516
0837616
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 224 to 111 computations (50.4% saved)

preprocess71.0ms (1.2%)

Memory
-8.0MiB live, 67.3MiB allocated
Compiler

Compiled 172 to 72 computations (58.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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