2atan (example 3.5)

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.9s (37.4%)

Memory
52.3MiB live, 1 737.6MiB allocated; 461ms collecting garbage
Samples
1.4s7 366×1valid
147.0ms656×2valid
16.0ms234×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-atan: 414.0ms (32% of total)
adjust: 384.0ms (29.7% of total)
ival-add: 232.0ms (18% of total)
const: 109.0ms (8.4% of total)
ival-sub: 75.0ms (5.8% of total)
ival->: 32.0ms (2.5% of total)
ival-<: 23.0ms (1.8% of total)
ival-and: 12.0ms (0.9% of total)
exact: 7.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain127.0ms (2.6%)

Memory
-36.9MiB live, 169.0MiB allocated; 22ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-N
00-0-(+.f64 N #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))cancellation2540
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-002
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms470×1valid
7.0ms34×2valid
0.0ms0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-atan: 24.0ms (43.7% of total)
adjust: 20.0ms (36.4% of total)
ival-add: 5.0ms (9.1% of total)
ival-sub: 5.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11119
067
0107
1137
0137
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; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
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
11318
01318
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)

localize73.0ms (1.5%)

Memory
-24.1MiB live, 21.3MiB allocated; 10ms collecting garbage
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)
accuracy59.74584756869314
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Samples
63.0ms235×1valid
3.0ms17×2valid
0.0ms0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
adjust: 10.0ms (40.1% of total)
ival-atan: 10.0ms (40.1% of total)
ival-add: 3.0ms (12% of total)
ival-sub: 2.0ms (8% 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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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))

simplify6.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
12932
24232
37932
412832
520632
622232
722432
022432
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)))

rewrite161.0ms (3.3%)

Memory
33.9MiB live, 131.6MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
14316
226616
3256116
0966016
Stop Event
iter limit
node limit
iter limit
Counts
4 → 118
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 (/.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 (+.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 (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 (neg.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.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))) (neg.f64 (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 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.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))) (neg.f64 (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 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.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))) (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 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.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))) (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 2 binary64)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (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 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (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 2 binary64))) (+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (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 N) #s(literal 3 binary64)) (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 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (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 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (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 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (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 2 binary64)) (*.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (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 N) #s(literal 3 binary64)) (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 (*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (+.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))) (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 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (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))) (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 2 binary64)))
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(fabs.f64 (neg.f64 (atan.f64 N)))
(fabs.f64 (atan.f64 N))
(+.f64 (cosh.f64 (log.f64 (atan.f64 N))) (sinh.f64 (log.f64 (atan.f64 N))))
(exp.f64 (/.f64 (log.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (atan.f64 N)))

eval18.0ms (0.4%)

Memory
-12.3MiB live, 31.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 055 to 504 computations (83.5% saved)

prune3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1221123
Fresh000
Picked101
Done000
Total1231124
Accuracy
99.5%
Counts
124 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify17.0ms (0.3%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
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
22719
37019
417219
527519
641519
751219
860319
967819
1068719
068719
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

localize45.0ms (0.9%)

Memory
-24.9MiB live, 21.9MiB allocated; 3ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) N)
accuracy0.01171875
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-atan2: 2.0ms (32.6% of total)
ival-add: 2.0ms (32.6% of total)
ival-mult: 2.0ms (32.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
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))

simplify114.0ms (2.3%)

Memory
5.5MiB live, 103.0MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561
17157
219257
367657
4335757
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)))

rewrite169.0ms (3.4%)

Memory
9.9MiB live, 155.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0917
13817
226117
3270717
0899717
Stop Event
iter limit
node limit
iter limit
Counts
3 → 248
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) (+.f64 (fma.f64 N N 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 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (pow.f64 (-.f64 (fma.f64 N N 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 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 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 (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))) (+.f64 (fma.f64 N N N) #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 2 binary64)))) (+.f64 (fma.f64 N N N) #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 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))
(*.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(*.f64 (+.f64 (fma.f64 N N 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)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 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) (-.f64 (fma.f64 N N 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 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 N N 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)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 N N 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 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #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 (neg.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N 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)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 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 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #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 (fma.f64 N N N) N)))))
(/.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)) (neg.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #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 (fma.f64 N 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 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 9 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) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #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))))
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(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (*.f64 N N))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (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 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.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)) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 N N) (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 N (/.f64 (*.f64 N N) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #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 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #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 #s(literal 1 binary64) (neg.f64 N))
(-.f64 #s(literal 1 binary64) N)
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 N))
(+.f64 #s(literal 1 binary64) N)

eval51.0ms (1%)

Memory
2.1MiB live, 47.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 027 to 955 computations (84.2% saved)

prune20.0ms (0.4%)

Memory
-16.1MiB live, 28.7MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New23718255
Fresh000
Picked101
Done000
Total23818256
Accuracy
99.7%
Counts
256 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
74.9%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (/.f64 (fma.f64 N N N) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
47.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
50.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
76.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
95.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
29.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
47.9%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
95.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (fabs.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
95.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
72.4%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
97.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
96.0%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
Compiler

Compiled 788 to 414 computations (47.5% saved)

simplify178.0ms (3.6%)

Memory
-11.5MiB live, 135.2MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
cost-diff0
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
cost-diff0
(*.f64 N N)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 N N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff1
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
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 N N #s(literal 1 binary64))
cost-diff0
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033269
061267
1114267
2272267
3807265
42850265
08220265
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 #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) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
N
(/.f64 N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))
(pow.f64 N #s(literal 6 binary64))
N
#s(literal 6 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N N N)
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 N N #s(literal 1 binary64))
N
(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) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (+.f64 #s(literal -1 binary64) N)) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (+.f64 #s(literal -1 binary64) N)) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
N
(/.f64 N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(fabs.f64 (/.f64 N (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 N (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(fma.f64 (/.f64 N (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 (fma.f64 N N N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))
(pow.f64 N #s(literal 6 binary64))
N
#s(literal 6 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 N N N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 N N N)

localize86.0ms (1.7%)

Memory
27.3MiB live, 117.3MiB allocated; 7ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
accuracy0.26400375976844204
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
accuracy0.31640625
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
accuracy30.46630843017403
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
accuracy0.0
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
accuracy0.30859375
(/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
accuracy0.3203125
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy0.33984375
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) N)
accuracy0.0
(*.f64 N N)
accuracy0.05078125
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy60.07981346005889
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy0.0
(fma.f64 N N #s(literal 1 binary64))
accuracy0.04296875
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Samples
62.0ms256×0valid
Compiler

Compiled 288 to 37 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 12.0ms (26% of total)
ival-add: 10.0ms (21.6% of total)
ival-atan2: 7.0ms (15.2% of total)
ival-div: 5.0ms (10.8% of total)
ival-pow: 5.0ms (10.8% of total)
ival-sub: 4.0ms (8.7% of total)
ival-fabs: 2.0ms (4.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
20 → 71
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N 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))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))
(-.f64 #s(literal 1 binary64) N)
(/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 2))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(+ 1 (* -1 (pow N 2)))
(pow N 2)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fabs (- 1 (pow N 3)))
(+ 1 (* -1 (pow N 3)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 6))) (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))))
(+ 1 (* N (+ 1 (* -1 N))))
(+ 1 (* N (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
(+ 1 (* -1 N))
(+ 1 (* N (- (* 2 (pow N 2)) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 2 (* -2 N))) 1)))
(+ 1 (* -1 (pow N 6)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(+ 1 (* N (+ 1 (* N (+ 1 (* -1 N))))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(* -1 (pow N 2))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(atan2 1 (- (+ 1 (/ N (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))) (/ (pow N 7) (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 2) (- (+ 1 (+ (/ 1 (pow N 2)) (* 2 (/ 1 (pow N 3))))) (/ 1 N)))
(* N (- 1 (/ 1 N)))
(* N (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))
(* N (- (+ 1 (/ 2 (pow N 3))) (+ (/ 1 N) (* 2 (/ 1 (pow N 4))))))
(* -1 (pow N 6))
(* (pow N 6) (- (/ 1 (pow N 6)) 1))
(* -1 N)
(* N (- (/ 1 N) 1))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(* -1 (pow N 5))
(* -1 (* (pow N 5) (+ 1 (/ 1 N))))
(* (pow N 5) (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1))
(* (pow N 5) (- (/ 1 (pow N 3)) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fabs (+ 1 (* -1 (pow N 3))))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 6))) (* (+ 1 (* -1 (pow N 3))) (- (+ 1 (pow N 2)) (* -1 N))))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) N))) N))))
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (* N (- (* -1 (/ (- (* 2 (/ 1 (pow N 2))) 1) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* 2 (/ 1 (pow N 2))) (+ 1 (/ 2 (pow N 3)))) N)) 1)))
(* -1 (* N (- 1 (/ 1 N))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(* -1 (* (pow N 5) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
(* -1 (* (pow N 5) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 N)) N)) 1) N)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@-inf
((atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (- 1 (* N N)) (* N N) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (atan2 1 (+ (* (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) N) 1)) (+ (* (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) N) 1) (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) (- 1 (pow N 6)) (- 1 N) (/ N (+ (+ (* N N) N) 1)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1)))
4.0ms
N
@inf
((atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (- 1 (* N N)) (* N N) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (atan2 1 (+ (* (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) N) 1)) (+ (* (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) N) 1) (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) (- 1 (pow N 6)) (- 1 N) (/ N (+ (+ (* N N) N) 1)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1)))
2.0ms
N
@0
((atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (- 1 (* N N)) (* N N) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (atan2 1 (+ (* (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) N) 1)) (+ (* (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) N) 1) (/ (- 1 (pow N 6)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1))) (- 1 (pow N 6)) (- 1 N) (/ N (+ (+ (* N N) N) 1)) (* (- 1 (pow N 3)) (+ (+ (* N N) N) 1)))

simplify134.0ms (2.7%)

Memory
-25.3MiB live, 166.8MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0210828
1611807
21855782
35960775
08360737
Stop Event
iter limit
node limit
Counts
71 → 70
Calls
Call 1
Inputs
(atan2 1 (+ 1 (+ N (pow N 2))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 2))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(+ 1 (* -1 (pow N 2)))
(pow N 2)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fabs (- 1 (pow N 3)))
(+ 1 (* -1 (pow N 3)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 6))) (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))))
(+ 1 (* N (+ 1 (* -1 N))))
(+ 1 (* N (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
(+ 1 (* -1 N))
(+ 1 (* N (- (* 2 (pow N 2)) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 2 (* -2 N))) 1)))
(+ 1 (* -1 (pow N 6)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(+ 1 (* N (+ 1 (* N (+ 1 (* -1 N))))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(* -1 (pow N 2))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(atan2 1 (- (+ 1 (/ N (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))) (/ (pow N 7) (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 2) (- (+ 1 (+ (/ 1 (pow N 2)) (* 2 (/ 1 (pow N 3))))) (/ 1 N)))
(* N (- 1 (/ 1 N)))
(* N (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))
(* N (- (+ 1 (/ 2 (pow N 3))) (+ (/ 1 N) (* 2 (/ 1 (pow N 4))))))
(* -1 (pow N 6))
(* (pow N 6) (- (/ 1 (pow N 6)) 1))
(* -1 N)
(* N (- (/ 1 N) 1))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(* -1 (pow N 5))
(* -1 (* (pow N 5) (+ 1 (/ 1 N))))
(* (pow N 5) (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1))
(* (pow N 5) (- (/ 1 (pow N 3)) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fabs (+ 1 (* -1 (pow N 3))))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 6))) (* (+ 1 (* -1 (pow N 3))) (- (+ 1 (pow N 2)) (* -1 N))))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) N))) N))))
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (* N (- (* -1 (/ (- (* 2 (/ 1 (pow N 2))) 1) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* 2 (/ 1 (pow N 2))) (+ 1 (/ 2 (pow N 3)))) N)) 1)))
(* -1 (* N (- 1 (/ 1 N))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(* -1 (* (pow N 5) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
(* -1 (* (pow N 5) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 N)) N)) 1) N)))))
Outputs
(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
#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))
(+ 1 (pow N 2))
(fma.f64 N 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)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(+ 1 (* -1 (pow N 2)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(pow N 2)
(*.f64 N N)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fabs (- 1 (pow N 3)))
(fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(+ 1 (* -1 (pow N 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 6))) (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N #s(literal 1 binary64)))
(+ 1 (* N (+ 1 (* -1 N))))
(fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 N N) #s(literal 2 binary64)) #s(literal 1 binary64)) N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- (* 2 (pow N 2)) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 N N) #s(literal 2 binary64)) #s(literal 1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (- (* (pow N 2) (+ 2 (* -2 N))) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) N) #s(literal 1 binary64)) N #s(literal 1 binary64))
(+ 1 (* -1 (pow N 6)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))
N
(* N (+ 1 (* -1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(* N (+ 1 (* N (- (pow N 2) 1))))
(*.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 N N #s(literal -1 binary64))) N #s(literal 1 binary64)) N)
(+ 1 (* N (+ 1 (* N (+ 1 (* -1 N))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) 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))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)
(* -1 (pow N 3))
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(atan2 1 (- (+ 1 (/ N (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))) (/ (pow N 7) (* (+ 1 (+ N (pow N 2))) (- 1 (pow N 3))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (/.f64 N (-.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))) #s(literal 1 binary64)) (/.f64 (pow.f64 N #s(literal 7 binary64)) (*.f64 (-.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))))))
(* (pow N 2) (- 1 (/ 1 N)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N)
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(fma.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(* (pow N 2) (- (+ 1 (+ (/ 1 (pow N 2)) (* 2 (/ 1 (pow N 3))))) (/ 1 N)))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N (*.f64 N N))
(* N (- 1 (/ 1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(* N (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) N N)
(* N (- (+ 1 (/ 2 (pow N 3))) (+ (/ 1 N) (* 2 (/ 1 (pow N 4))))))
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)) N) N N)
(* -1 (pow N 6))
(neg.f64 (pow.f64 N #s(literal 6 binary64)))
(* (pow N 6) (- (/ 1 (pow N 6)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(* -1 N)
(neg.f64 N)
(* N (- (/ 1 N) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #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 3))) (/ 1 N)) N)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N) #s(literal 1 binary64)) N) #s(literal 1 binary64)) N)
(* -1 (pow N 5))
(neg.f64 (pow.f64 N #s(literal 5 binary64)))
(* -1 (* (pow N 5) (+ 1 (/ 1 N))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 5 binary64)))
(* (pow N 5) (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 5 binary64)))
(* (pow N 5) (- (/ 1 (pow N 3)) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)) (pow.f64 N #s(literal 5 binary64)))
(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)))
(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)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fabs (+ 1 (* -1 (pow N 3))))
(fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 6))) (* (+ 1 (* -1 (pow N 3))) (- (+ 1 (pow N 2)) (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(fma.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) N))) N))))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N (*.f64 N N))
(* -1 (* N (- (/ 1 N) 1)))
(*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(* -1 (* N (- (* -1 (/ (- (* 2 (/ 1 (pow N 2))) 1) N)) 1)))
(*.f64 (neg.f64 N) (-.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)))
(* -1 (* N (- (* -1 (/ (- (* 2 (/ 1 (pow N 2))) (+ 1 (/ 2 (pow N 3)))) N)) 1)))
(*.f64 (neg.f64 N) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64)))
(* -1 (* N (- 1 (/ 1 N))))
(*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N) #s(literal 1 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (* (pow N 5) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 5 binary64)))
(* -1 (* (pow N 5) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 N)) N)) 1) N)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N)) #s(literal 1 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 5 binary64)))

rewrite289.0ms (5.8%)

Memory
1.2MiB live, 187.5MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033209
061127
1261127
22205127
010655127
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 141
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N 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))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))
(-.f64 #s(literal 1 binary64) N)
(/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N 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)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 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 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #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 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) 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 (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N))) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) N)) N #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (fabs.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (fabs.f64 (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N))) (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N))) (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (fabs.f64 (*.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (fabs.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N))) N (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N))) (sqrt.f64 (neg.f64 N)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 N N N) (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))) (sin.f64 (acos.f64 (pow.f64 N #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (sqrt.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 N N N))) (sqrt.f64 (neg.f64 (fma.f64 N N N))) #s(literal 1 binary64))
(fma.f64 (hypot.f64 (sqrt.f64 N) N) (hypot.f64 (sqrt.f64 N) N) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) (*.f64 N N))
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(fma.f64 (sqrt.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) N) (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)) N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (sin.f64 (acos.f64 (pow.f64 N #s(literal 3/2 binary64)))) (sin.f64 (acos.f64 (pow.f64 N #s(literal 3/2 binary64)))) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 N N) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) N))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) N (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 N (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fma.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(-.f64 (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(-.f64 (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) N) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N #s(literal 1 binary64))))
(+.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) N))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))

eval162.0ms (3.3%)

Memory
22.5MiB live, 121.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 34 926 to 4 001 computations (88.5% saved)

prune35.0ms (0.7%)

Memory
-30.6MiB live, 57.5MiB allocated; 10ms collecting garbage
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New78611797
Fresh9413
Picked325
Done000
Total79817815
Accuracy
99.7%
Counts
815 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
95.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
47.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 #s(approx (- 1 (pow N 3)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
97.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.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))) N #s(literal 1 binary64)))
74.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
47.9%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
95.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (fabs.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
97.2%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
95.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
97.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
76.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
97.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
96.0%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
Compiler

Compiled 631 to 367 computations (41.8% saved)

simplify177.0ms (3.6%)

Memory
-13.2MiB live, 98.6MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
cost-diff1
(/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
cost-diff1
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))))
cost-diff11
(*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
cost-diff0
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (neg.f64 N) N)
cost-diff0
#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
cost-diff0
(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff0
(-.f64 N #s(literal -1 binary64))
cost-diff0
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
cost-diff0
(sqrt.f64 N)
cost-diff0
(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
cost-diff3
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040367
072301
1130301
2354301
31152301
42457301
54425301
08444295
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(sqrt.f64 N)
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (+ (+ (* N N) 1) N) (-.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 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
(*.f64 (neg.f64 N) N)
(neg.f64 N)
N
(/.f64 N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(neg.f64 N)
(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 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(sqrt.f64 N)
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (+ (+ (* N N) 1) N) (-.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 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) #s(literal 1 binary64))
#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
(*.f64 (neg.f64 N) N)
(neg.f64 N)
N
(/.f64 N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) (fabs.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) (fabs.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fabs.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fabs.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 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.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))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(fabs.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))))
(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(sqrt.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(neg.f64 N)
(fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) N)

localize175.0ms (3.5%)

Memory
30.0MiB live, 167.2MiB allocated; 27ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.296875
(/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
accuracy0.34994125976844204
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64))
accuracy0.41634750976844204
(*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
accuracy0.0
(fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N)))
accuracy0.31640625
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
accuracy0.33984375
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
accuracy1.9004231804981444
#s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))
accuracy0.0
(neg.f64 N)
accuracy0.05078125
(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy0.6768084409847486
#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
accuracy0.0
(-.f64 N #s(literal -1 binary64))
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
accuracy58.67140038416755
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
accuracy0.0
(sqrt.f64 N)
accuracy0.0078125
(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
accuracy0.30078125
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
accuracy0.49609375
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
Samples
114.0ms254×0valid
4.0ms5exit
Compiler

Compiled 352 to 45 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-fabs: 39.0ms (39.3% of total)
ival-atan2: 16.0ms (16.1% of total)
ival-mult: 13.0ms (13.1% of total)
ival-add: 11.0ms (11.1% of total)
ival-div: 7.0ms (7.1% of total)
ival-sqrt: 4.0ms (4% of total)
ival-sub: 4.0ms (4% of total)
ival-pow: 3.0ms (3% of total)
adjust: 2.0ms (2% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
23 → 73
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
(sqrt.f64 N)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
(*.f64 (neg.f64 N) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))))
(/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(neg.f64 N)
#s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))
(fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64))
Outputs
1
(+ 1 N)
(atan2 1 (+ 1 (* N (+ 1 N))))
(+ 1 (* N (+ 1 N)))
(sqrt N)
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(+ 1 (* -1 (pow N 2)))
(* -1 (pow N 2))
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fabs (- 1 (pow N 3)))
(+ 1 (* -1 (pow N 3)))
(* N (pow (sqrt -1) 2))
(* N (+ (* -1 (* N (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(* N (+ (* N (- (* 2 (* N (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(* N (+ (* N (- (* N (- (* -1 (* N (+ (* 2 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* -2 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N)))))
(* -1 N)
(* N (- N 1))
(* N (- (* N (+ 1 (* -2 N))) 1))
(* N (- (* N (+ 1 (* N (- (* 3 N) 2)))) 1))
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N))))))))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N)))))))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(* -1 (/ (pow (sqrt -1) 2) N))
(/ (+ (* -1 (/ (pow (sqrt -1) 2) N)) (* -1 (pow (sqrt -1) 2))) N)
(/ (- (+ (* -2 (/ (pow (sqrt -1) 2) (pow N 2))) (* -1 (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) N)) N)
(/ (- (+ (* -1 (/ (+ (* 2 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)) (pow N 3))) (* -1 (pow (sqrt -1) 2))) (+ (* 2 (/ (pow (sqrt -1) 2) (pow N 2))) (/ (pow (sqrt -1) 2) N))) N)
(fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2))))
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (+ (/ 1 N) (/ 2 (pow N 2)))) N)
(/ (+ 1 (+ (/ 1 N) (+ (* 3 (/ 1 (pow N 3))) (/ 2 (pow N 2))))) N)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2)))))))
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2))))))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fabs (+ 1 (* -1 (pow N 3))))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 N))) N)) 1) N))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) N)) 1) N))
(fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N)))))))
(atan2 1 (+ 1 (* (fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N))))))) (fabs (+ 1 (* -1 (pow N 3)))))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(+ 1 (* (fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N))))))) (fabs (+ 1 (* -1 (pow N 3))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@-inf
((+ (* (sqrt N) (sqrt N)) 1) (atan2 1 (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1)) (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1) (sqrt N) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (- N -1) (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (- 1 (* N N)) (* (neg N) N) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))))) (/ (neg N) (+ (* (- 1 N) N) 1)) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))))) 1)) (neg N) (/ N (+ (+ (* N N) N) 1)) (fabs (/ N (+ (+ (* N N) N) 1))) (+ (* (fabs (- 1 (pow N 3))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))))) 1))
3.0ms
N
@inf
((+ (* (sqrt N) (sqrt N)) 1) (atan2 1 (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1)) (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1) (sqrt N) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (- N -1) (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (- 1 (* N N)) (* (neg N) N) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))))) (/ (neg N) (+ (* (- 1 N) N) 1)) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))))) 1)) (neg N) (/ N (+ (+ (* N N) N) 1)) (fabs (/ N (+ (+ (* N N) N) 1))) (+ (* (fabs (- 1 (pow N 3))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))))) 1))
3.0ms
N
@0
((+ (* (sqrt N) (sqrt N)) 1) (atan2 1 (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1)) (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1) (sqrt N) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (- N -1) (atan2 1 (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1)) (+ (* (- 1 (* N N)) (/ N (- 1 N))) 1) (- 1 (* N N)) (* (neg N) N) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1)) (+ (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ (+ (* N N) N) 1)))) 1) (fabs (- 1 (pow N 3))) (- 1 (pow N 3)) (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))))) (/ (neg N) (+ (* (- 1 N) N) 1)) (atan2 1 (+ (* (fabs (- 1 (pow N 3))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))))) 1)) (neg N) (/ N (+ (+ (* N N) N) 1)) (fabs (/ N (+ (+ (* N N) N) 1))) (+ (* (fabs (- 1 (pow N 3))) (fabs (* (sqrt (/ (neg N) (+ (* (- 1 N) N) 1))) (sqrt (/ (neg N) (+ (* (- 1 N) N) 1)))))) 1))

simplify181.0ms (3.6%)

Memory
-2.6MiB live, 185.7MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216991
1633746
22107725
07168678
Stop Event
iter limit
iter limit
node limit
Counts
73 → 72
Calls
Call 1
Inputs
1
(+ 1 N)
(atan2 1 (+ 1 (* N (+ 1 N))))
(+ 1 (* N (+ 1 N)))
(sqrt N)
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(+ 1 (* -1 (pow N 2)))
(* -1 (pow N 2))
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fabs (- 1 (pow N 3)))
(+ 1 (* -1 (pow N 3)))
(* N (pow (sqrt -1) 2))
(* N (+ (* -1 (* N (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(* N (+ (* N (- (* 2 (* N (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(* N (+ (* N (- (* N (- (* -1 (* N (+ (* 2 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* -2 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N)))))
(* -1 N)
(* N (- N 1))
(* N (- (* N (+ 1 (* -2 N))) 1))
(* N (- (* N (+ 1 (* N (- (* 3 N) 2)))) 1))
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N))))))))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (pow N 2) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N)))))))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(* -1 (pow N 3))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(* -1 (/ (pow (sqrt -1) 2) N))
(/ (+ (* -1 (/ (pow (sqrt -1) 2) N)) (* -1 (pow (sqrt -1) 2))) N)
(/ (- (+ (* -2 (/ (pow (sqrt -1) 2) (pow N 2))) (* -1 (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) N)) N)
(/ (- (+ (* -1 (/ (+ (* 2 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)) (pow N 3))) (* -1 (pow (sqrt -1) 2))) (+ (* 2 (/ (pow (sqrt -1) 2) (pow N 2))) (/ (pow (sqrt -1) 2) N))) N)
(fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2))))
(/ 1 N)
(/ (+ 1 (/ 1 N)) N)
(/ (+ 1 (+ (/ 1 N) (/ 2 (pow N 2)))) N)
(/ (+ 1 (+ (/ 1 N) (+ (* 3 (/ 1 (pow N 3))) (/ 2 (pow N 2))))) N)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2)))))))
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2))))))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fabs (+ 1 (* -1 (pow N 3))))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 N))) N)) 1) N))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) N)) 1) N))
(fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N)))))))
(atan2 1 (+ 1 (* (fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N))))))) (fabs (+ 1 (* -1 (pow N 3)))))))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(+ 1 (* (fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N))))))) (fabs (+ 1 (* -1 (pow N 3))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 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)))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(sqrt N)
(sqrt.f64 N)
(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)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (- 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(+ 1 (* -1 (pow N 2)))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ N (+ 1 (+ N (pow N 2)))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fabs (- 1 (pow N 3)))
(fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(+ 1 (* -1 (pow N 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(* N (pow (sqrt -1) 2))
(neg.f64 N)
(* N (+ (* -1 (* N (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(fma.f64 N N (neg.f64 N))
(* N (+ (* N (- (* 2 (* N (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N #s(literal -1 binary64)) N)
(* N (+ (* N (- (* N (- (* -1 (* N (+ (* 2 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* -2 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal -2 binary64)) N #s(literal 1 binary64)) N #s(literal -1 binary64)) N)
(fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N)))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(* -1 N)
(neg.f64 N)
(* N (- N 1))
(fma.f64 N N (neg.f64 N))
(* N (- (* N (+ 1 (* -2 N))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N #s(literal -1 binary64)) N)
(* N (- (* N (+ 1 (* N (- (* 3 N) 2)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal -2 binary64)) N #s(literal 1 binary64)) N #s(literal -1 binary64)) N)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N))))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
N
(* N (+ 1 (* -1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(* N (+ 1 (* N (- (pow N 2) 1))))
(*.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 N N #s(literal -1 binary64))) N #s(literal 1 binary64)) N)
(fabs (/ N (+ 1 (+ N (pow N 2)))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (+ 1 (* N (- 1 N)))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 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))
(atan2 1 (- (+ 1 (/ N (- 1 N))) (/ (pow N 3) (- 1 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(* (pow N 2) (- (/ 1 (pow N 2)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) N)
(* -1 (pow N 3))
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(* (pow N 3) (- (/ 1 (pow N 3)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (pow (sqrt -1) 2) N))
(/.f64 #s(literal 1 binary64) N)
(/ (+ (* -1 (/ (pow (sqrt -1) 2) N)) (* -1 (pow (sqrt -1) 2))) N)
(/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(/ (- (+ (* -2 (/ (pow (sqrt -1) 2) (pow N 2))) (* -1 (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) N)) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ (* -1 (/ (+ (* 2 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)) (pow N 3))) (* -1 (pow (sqrt -1) 2))) (+ (* 2 (/ (pow (sqrt -1) 2) (pow N 2))) (/ (pow (sqrt -1) 2) N))) N)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 (/ 1 N)) N)
(/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(/ (+ 1 (+ (/ 1 N) (/ 2 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) N)
(/ (+ 1 (+ (/ 1 N) (+ (* 3 (/ 1 (pow N 3))) (/ 2 (pow N 2))))) N)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(atan2 1 (+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/ (- 1 (/ 1 N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64))) N)
(+ 1 (* (fabs (- 1 (pow N 3))) (fabs (/ (* N (pow (sqrt -1) 2)) (- (+ 1 N) (pow N 2))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(* -1 (* N (pow (sqrt -1) 2)))
N
(* -1 (* N (- (pow (sqrt -1) 2) (/ 1 N))))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (+ 1 (* -1 (* N (pow (sqrt -1) 2)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(* -1 (* (pow N 2) (pow (sqrt -1) 2)))
(*.f64 N N)
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(sqrt.f64 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)))
(atan2 1 (+ 1 (/ (* N (- 1 (pow N 2))) (+ 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+ 1 (* (fabs (+ 1 (* -1 (pow N 3)))) (fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fabs (+ 1 (* -1 (pow N 3))))
(fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow N 3) (- 1 (/ 1 (pow N 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 N))) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) N)) 1) N))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N)))))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(atan2 1 (+ 1 (* (fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N))))))) (fabs (+ 1 (* -1 (pow N 3)))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) 1) N)) 1) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow N 2)) (+ 1 (/ 1 (pow N 3)))) N)) 1) N))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))
(fabs (/ N (- (+ 1 (pow N 2)) (* -1 N))))
(fabs.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(+ 1 (* (fabs (* -1 (/ N (+ 1 (* N (+ 1 (* -1 N))))))) (fabs (+ 1 (* -1 (pow N 3))))))
(fma.f64 (fabs.f64 (/.f64 N (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (fabs.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))

rewrite144.0ms (2.9%)

Memory
-1.6MiB live, 190.5MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040305
072215
1304215
22255203
09870200
Stop Event
iter limit
node limit
iter limit
Counts
23 → 678
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64))
(sqrt.f64 N)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
#s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N))
(*.f64 (neg.f64 N) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))))
(/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(neg.f64 N)
#s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))
(fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.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)))
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eval151.0ms (3%)

Memory
-43.4MiB live, 176.5MiB allocated; 123ms collecting garbage
Compiler

Compiled 15 752 to 2 210 computations (86% saved)

prune26.0ms (0.5%)

Memory
-4.4MiB live, 44.7MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New5648572
Fresh5510
Picked235
Done022
Total57118589
Accuracy
99.7%
Counts
589 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
95.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
97.2%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
95.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
95.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N) (-.f64 #s(literal 1 binary64) N)))
97.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.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))) N #s(literal 1 binary64)))
95.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
95.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fabs.f64 (fma.f64 (sqrt.f64 N) N #s(literal 1 binary64))) (fabs.f64 (-.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
95.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 N) (fabs.f64 (*.f64 (sqrt.f64 N) (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
47.9%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
97.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
76.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
97.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
96.0%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1) (*.f64 N N)))
6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
Compiler

Compiled 1 126 to 407 computations (63.9% saved)

regimes18.0ms (0.4%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
39 → 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 (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 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 (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) 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) (fma.f64 #s(approx (- 1 (* N N)) (*.f64 (neg.f64 N) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 N) (fabs.f64 (*.f64 (sqrt.f64 N) (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (fabs.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) 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) (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N) (-.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.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))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 N N N) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fabs.f64 (fma.f64 (sqrt.f64 N) N #s(literal 1 binary64))) (fabs.f64 (-.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (fabs.f64 #s(approx (/ N (+ (+ (* N N) N) 1)) (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fabs.f64 (/.f64 N (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 #s(approx (- 1 (pow N 3)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (/.f64 (fma.f64 N N N) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))))) 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:

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

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
8 → 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 (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 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 (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.5%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
-40.5MiB live, 6.6MiB allocated; 1ms collecting garbage
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 (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 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 (+ (+ (* N N) 1) N) (fma.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
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms
N
Results
AccuracySegmentsBranch
97.9%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
97.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
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 (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (sqrt N) (sqrt N)) 1) N) 1) (*.f64 N N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
96.0%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
96.0%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
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 (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64))))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
7.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
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
6.1%1N
6.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify17.0ms (0.3%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02367
13067
24667
38967
420067
541367
662867
766067
866967
Stop Event
saturated
Calls
Call 1
Inputs
(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) (+.f64 (fma.f64 N N #s(literal 1 binary64)) 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 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) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) 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 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)))

derivations406.0ms (8.2%)

Memory
-3.7MiB live, 183.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
14316
226616
3256116
0966016
02561
17157
219257
367657
4335757
0811751
0517
0917
13817
226117
3270717
0899717
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 67 to 24 computations (64.2% saved)

preprocess58.0ms (1.2%)

Memory
11.0MiB live, 55.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 164 to 70 computations (57.3% saved)

end0.0ms (0%)

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

Profiling

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